If f(x)=2x^3-9ax²+12ax²+1 , where a>0, attains its maximun and minimum values at p and q respectively such that p²=q,then what is the value of a?

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.