Parametric Surface of Revolution, What is a Rational/Irrational Number? | Math VOD 2024-08-06

The VOD of my livestream on August 6, 2024.

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Gaming Channel: @DonDoesMathAndGaming

00:00 Project Euler Coding Problem
28:36 Meaning of Volume of Revolution Formulas
37:33 Area of Painting and Frame
42:30 What is a rational number? Irrational number?
47:45 Parametric Arc Length
01:12:23 What is a square root?
01:22:00 Finding partial derivatives
01:32:39 Discontinuities in ceil(sin(pi*x))
01:45:44 How to factor a quadratic by splitting middle term
01:57:01 Discontinuities in ceil(sin(pi*x))fractional(cos(pi*x))
02:32:32 Creating discontinuity in arccot(sgn(x^2-k+1))
02:56:02 Parametric Surface of Revolution
03:38:57 arccsc(sqrt(5))+arccsc(sqrt(65))+arccsc(sqrt(325))+...
04:08:00 Project Euler Coding Problem