What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a maximum value

Integrate x2−√xx x 2 − x x with respect to x

Determine the value of ∫π20 ∫ 0 π 2 (-2 cosx)dx

A man 40m from the foot of a tower observes the angle of elevation of the tower to be 30o, Determine the height of the tower

If y = (1 + x)2, find dydx

The volume of a hemispherical bowl is 71823 2 3 cm3. Find its radius.

If y = x cosx, find dydx d y d x .

Find the size of each exterior angle of a regular octagon.