Saturday, December 30, 2023

Viral Mensa IQ Math Question - Think This is Challenging Pattern to Crack?



from PK Math https://www.youtube.com/watch?v=ijMn1OlKJhM

Awesome and Challenging Integral with Epic Solution

In this video, we are evaluating this awesome yet challenging integral using complex analysis with trigonometric substitution and other important integral techniques. With complex analysis, we can evaluate this integral leading to an interesting and epic solution. We first represent the integrand as a complex number, and work on the quadratic formula to get roots of z^2, and use the unit circle to come up with the solution in details. Come check this video out. More to come! Problem credit to @usdescartes Check out his Twitter at twitter.com/nandor117 ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/1o5D4JF ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #calculus #integral #complexnumbers Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=ljFlqg0Y4iE

Wednesday, December 27, 2023

Viral Mensa IQ Math Question - Quite Easy Pattern to Crack



from PK Math https://www.youtube.com/watch?v=2AsggPfwHqo

Challenging Integral You've Never Seen Before

In this video, we are evaluating an interesting yet very challenging integral you've never seen before by using complex analysis, trigonometric substitution, symmetry, and other advanced integral techniques to see in what conditions with a is the integral turns out to be as stated in the question. Come check this integral out and see how we evaluate this integral using complex analysis and trig substitution. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/tTQVhGn ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #calculus #integral #substitution Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=IoA4iy2R33g

Monday, December 25, 2023

Viral Mensa IQ Math Question - How to Crack this Pattern?



from PK Math https://www.youtube.com/watch?v=nAE8QZt53oo

Viral Mensa IQ Math Question - Hard Pattern from the Mensa You Want to Crack



from PK Math https://www.youtube.com/watch?v=tsNi1S9vJBY

A Nice Diophantine Equation in Number Theory | You Should Learn This Trick | Math Olympiad

In this video, we are solving a nice diophantine equation in number theory and also a wonderful technique you can use to solve a diophantine equation with two unknown variables. With this work, you can work an exponential diophantine equation more nicely. Diophantine equation is an interesting topic in number theory. Come check this video out and watch it until the end. This would also be a good practice for math olympiad. More with diophantine equation will come. Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/D4Nc8ul ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #diophantineequation #matholympiad Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=2dHDpwJalB8

Saturday, December 23, 2023

Viral Mensa IQ Math Question - Dare To Try Cracking this Pattern?



from PK Math https://www.youtube.com/watch?v=wL66BNQe6Xk

Viral Mensa IQ Math Question - Difficult Pattern to Crack?



from PK Math https://www.youtube.com/watch?v=wCfDJqyP4Zg

A Ridiculously Awesome Integral Using Contour Method Collaborated with @PrimeNewtons

In this video, we are evaluating this awesome integral by using keyhole contour and branch-cut method. We are working on the complex number analysis to evaluate this integral through contour method. Second integral was more convenient to evaluate using symmetry or u-substitution, and the first integral is evaluated by me using contour method and also by @PrimeNewtons using non-complex method. Make sure to check our videos as we are evaluating the same integral using two different method. Problem credit to @chrisjuravich3398 ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/Iwmy0eR ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #contour #integral #calculus Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=xPzPM3KsgVk

Friday, December 22, 2023

Viral Mensa IQ Math Question - Easy Pattern to Crack



from PK Math https://www.youtube.com/watch?v=a2zg3DkSV8A

A Fun Exponential Diophantine Equation with @onlineMathsTV

In this video, we are solving this simple but interesting and fun exponential diophantine equation. We got the trial solution almost right away, but used a derivative to check if it was the only solution. We showed the derivative formula for an exponential function with the base not e but a positive number, in this problem 2 and 3. This is a bit of relaxing question but still fun to work with. Make sure to check @onlineMathsTV channel for more algebra problems. ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/3rmGvie ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #exponentialequation #diophantineequation Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=-PtlIkTDorg

Monday, December 18, 2023

Viral Mensa IQ Math Question - How to Crack this Pattern?



from PK Math https://www.youtube.com/watch?v=BCXrHSHNqQk

Toughest JEE Advanced Mathematics Problem - Solutions You've Never Seen

In this video, we evaluate the toughest JEE advanced mathematics problem - a legendary limit problem to work with Riemann sum and come up with integral to evaluate. Special skills to work with product operator are used to come up with Riemann sum and integral. Very difficult limit problem from JEE Advanced mathematics. I am planning to cover many of JEE Advanced mathematics problems. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/2cHy7pC ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #jeeadvanced #mathematics #limit Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=LE_0lA0WeTI

Saturday, December 16, 2023

Viral Mensa IQ Math Question - Difficult to Crack or Not?



from PK Math https://www.youtube.com/watch?v=n0hvM0v10i0

Viral Mensa IQ Math Question - Is This Pattern Easy or Not to Crack?



from PK Math https://www.youtube.com/watch?v=Xy4JN7xEpZE

Favorite Telescoping Product Problem of All Time - Use Induction

In this video, we are evaluating a beautiful product of telescoping product through induction. Important conditions of telescoping product are included, and also some useful techniques regarding induction are presented in the solution. This is my personal favorite telescoping product problem of all time. Come check how we present the answer using telescoping product and induction. More to come! Stay tuned! Problem credit to @usdescartes Check out his Twitter at twitter.com/nandor117 ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/J4DkrVS ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #telescopingproduct #induction #algebra Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=SOwz2JHK7Dw

Monday, December 11, 2023

Viral Mensa IQ Math Question - Is This Pattern Easy to Crack or Not?



from PK Math https://www.youtube.com/watch?v=QjKuNAiW8ao

Viral Mensa IQ Math Question - How About Cracking this Easy Pattern?



from PK Math https://www.youtube.com/watch?v=NTse1hJLzk4

Limit of (x^(1/x))^x as x goes to 0 - No L'hospital's rule

In this video, we are evaluating a limit of (x^(1/x))^x as x goes to 0 (right sided limit). We briefly talked about indeterminate form, and evaluate this limit using log properties without using L'hospital's rule. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/NtwFHq1 ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #limit #naturallog #algebra Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=0kpGvxrhAiQ

Wednesday, December 6, 2023

Viral Mensa IQ Math Question - Interesting Pattern for You to Crack



from PK Math https://www.youtube.com/watch?v=oQSwtgFXQW4

Viral Mensa IQ Math Question - Are You Ready to Crack this Pattern?



from PK Math https://www.youtube.com/watch?v=VWhaNSB6Rhk

Stanford Math Tournament - A Very Interesting and Tricky Polynomial Division in Algebra

In this video, we are solving an interesting algebra question about polynomial division from Stanford Math Tournament. We firstly used a long division to deal with polynomial division, and analyze factors by plugging in numbers to make system of equations and eventually come up with the final answer. Analyzing polynomials and their factors was the key for this question. Stanford Math Tournament is full of interesting yet challenging questions that I am planning to cover many of them. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/WfsZOEd ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #polynomials #stanfordmathtournament Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=Wteg919aZ3U

Saturday, December 2, 2023

Creative Thinking Skills with Viral Math Question to Crack the Pattern



from PK Math https://www.youtube.com/watch?v=JFYjrH6AnTs

The SAT Question Everyone Got Wrong. Why?



from PK Math https://www.youtube.com/watch?v=omMrBfEKHS0

The SAT Question Everyone Got Wrong - Why?

The SAT math question became a paradox. In this video, we are solving this one SAT math question back in 1982 that everyone got wrong. It was about the circumference of a circle and compare circumferences of two circles. There was no right option to choose, and a lot of students misunderstood about one thing, that was still about circumference. Check out this video about why everyone got wrong answer on this SAT math question. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/qLMv0Fj ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #satmath #circle #circumference Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=JDwevyfZD5w

Friday, December 1, 2023

Viral Mensa IQ Math Question - Can You Crack this Tricky Pattern?



from PK Math https://www.youtube.com/watch?v=6iEMD_l015M

Viral Mensa IQ Math Question - Interesting Pattern to Crack Right?



from PK Math https://www.youtube.com/watch?v=G0HYJkDY8aw

A Ridiculously Awesome Radical Equation from National Math Olympiad with @PrimeNewtons

In this video, we are solving an awesome radical equation from national Math Olympiad using a radical expression to find a rational solution. This radical equation is very challenging that we solved this by converting radical to rational expression, factoring polynomials in a right form, and express terms in radical expression again to come up with the final answer. @PrimeNewtons and I collaborate on this problem so make sure to go to his Youtube channel and subscribe. Important algebraic skills including factoring polynomials, and rational function types are included. More to come! Stay tuned! ๐Ÿ”” Passionate about math challenges? Join PK Math and explore a universe of math olympiads, tournaments, and more: https://www.youtube.com/@PKMath1234 ✅ Stay Connected To Me. ๐Ÿ‘‰ Twitter: https://twitter.com/drpkmath ๐Ÿ‘‰ Instagram: https://ift.tt/SV2U019 ✅ For Business Inquiries: patcastle6022@gmail.com ============================= ✅ Recommended Playlists: ๐Ÿ‘‰Algebra: https://www.youtube.com/playlist?list=PL_oRr2ie5-LI9ESU2AmW0UGQ6Sv3R5nWT ๐Ÿ‘‰National Math Olympiad and Competition: https://www.youtube.com/playlist?list=PL_oRr2ie5-LLY5ozfdQckik6vByEIQt3I ✅ Other Videos You Might Be Interested In Watching: ๐Ÿ‘‰ The Best Integral on Youtube by @PapaFlammy69 with Numerical Approximation https://www.youtube.com/watch?v=u3OLnzatU_g ๐Ÿ‘‰ A Nice Exponential Equation with @infyGyan https://www.youtube.com/watch?v=pHgzQfDI5sQ ๐Ÿ‘‰ South African Math Olympiad - Beautiful System of Equations https://www.youtube.com/watch?v=nc5VE683iOo ๐Ÿ‘‰ A Surprisingly Interesting Exponential Equation https://www.youtube.com/watch?v=GAFEJZWF9GI ================================ ✅ About PK Math : Welcome to the PK Math Youtube Channel. I am PK, a mathematician and a college math professor, and also simply someone who loves math so much. In my channel, I cover many interesting math problems in all levels of difficulty from all over the world. Some of them are from college entrance exams in different countries such as Korean CSAT, SAT in America, JEE Main/Advanced Math, or from International Math Olympiad or other advanced math competitions in different countries. Topics include algebra, geometry, trigonometry, calculus, etc. If you are interested in mathematics or simply want to learn or enjoy math, you have come to the right channel. For Appointment and Business inquiries, please use the contact information below: ๐Ÿ“ฉ Email: patcastle6022@gmail.com ๐Ÿ””Subscribe now for intriguing math problems and solutions. https://www.youtube.com/@PKMath1234 ================================= #algebra #matholympiad #radicalequations Disclaimer: I do not accept any liability for any loss or damage incurred by you acting or not acting as a result of watching any of my publications. You acknowledge that you use the information I provide at your own risk. Do your own research. Copyright Notice: This video and my YouTube channel contain dialogue, music, and images that are the property of PK Math. You are authorized to share the video link and channel and embed this video in your website or others as long as a link back to my Youtube Channel is provided. © PK Math

from PK Math https://www.youtube.com/watch?v=PG_7qoqFDZ4

Ivy League Math PhD Explains ฯ€

from Dr PK Math Shorts https://www.youtube.com/watch?v=PXxAFSSmGP8