Let f:R->[1,infinity) be defined as f(x)= log(root of 3x^2-4x+k+1 +10) to the base 10.If f(x) is a subjection then k can be

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.