A cable of 80 meters (m) is hanging from the top of two poles that are both 50 m from the ground. What is the distance between the two poles, to one decimal place, if the center of the cable is (a) 20 m above ground? (b) 10 m above ground?

Chatterjee, Neil…

In this video (another Peyam Classic), I calculate the integral of 1/(x^4 + 1) using complex analysis, enjoy!

nth derivative of x*e^x. Proving this formula by induction, https://youtu.be/gpjcCPEN-tc

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In this video I calculate a neat integral relating the gamma and zeta functions, enjoy!

In this video, I show you how to find an equation of the line that passes through the point (5,2) and cuts off the least area from the first quadrant by usin...

induction proof for the nth derivative of x*e^x
getting the formula: https://youtu.be/EH0r_8U4ppE


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Programa de Aperfeiçoamento para Professores de Matemática do Ensino Médio - Julho / 2018
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In this video, I calculate the integral of 1/(1+x^phi)^phi from 0 to infinity, where phi is the golden ratio. It’s based on a little weird calculation, but t...

A, B, and C share food at a party, and C pays A and B fairly. How much should each person get? The correct answer seems unfair, but it is surprisingly the on...

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Programa de Aperfeiçoamento para Professores de Matemática do Ensino Médio - Julho / 2018
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So I made a bet with myself that if France wins the world cup, I'll make another video in French, so here we are! In this video I present a clever way to fin...

What is calculus? Let me give you a brief overview here and a quick run through. Hopefully, this isn't just a class that you have to take in order to transfer.. : )

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Programa de Aperfeiçoamento para Professores de Matemática do Ensino Médio - Julho / 2018 Professor: Paulo Cezar - Probabilidades Playlist dos videos: https:...

In this video, I find an antiderivative of sec(x), using a clever trick and a substitution. Enjoy!