if f(x)is twice differentiable in (a,b) and

f’(a)=f’(b)=0. Show that there exists c,

a

f’‘( c ) >2[f(b) – f(a)]/(b-a)²

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?

Find dy/DX when y=x^sinx+sin-1√x.

 

Please give me the solution of this problem. 

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.