How to solve pully type questions in mechanics

T=9g/5 ms^-2m=2 kgtime for higest point = 7/2 sec

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Find the integral of the following equation: y = cos^2(x)


y= arcos(x). Find dy/dx in terms of x.


What does dy/dx represent?


Find the derivative of the following function: f(x) = x(x^3 + 2x)