Get premium membership and access revision papers with marking schemes, video lessons and live classes.

Processing. Please wait.

(a) The gradient of the curve `y=ax^2 + bx` at the origin is equal to 8. Find the values of a and b if the curve has a maximum point at x=4. (b) Determine the area of the region bounded by the lines x=0, x=6, y=0 and the curve `y=x^2 + bx`, for the values of a and b obtained in part (a).