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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y = x*(x-2)^-1/2. Prove dy\dx = (x-4)/2*(x-2)^3/2


the line L goes through the points A (3,1) and B(4,-2). Find the equation for L.


f(x) = x^x, find f'(3).


solve sin(2x)=0.5. between 0<x<2pi