Solution: If kx^3 – (k + 3) x^2 + 13 is divided by x – 4 and the remainder is 157

Solution: If y = x/2 + (sin2x)/4; find x for which dy/dx = 0

Solution: Evaluate ∫ (1 – x)/(1 – √x) dx with a limit from 0 to 1

Solution: Find the radius of curvature of y = 2x^2 at the point (1, 2)

Solution: What is the value of x for which y = 2x^3 – 3x^2 – 36x + 25

Solution: Find the area bounded by the parabola x^2 = 16(y-1) and its latus rectum

Solution: At what point of the curve y = x^3 + 3x are the values of y’ and y” equal?

Solution: The area of the triangle bounded by the coordinate axes

Solution: If x = t^2 and y = 2t, find d^2y/d^2x

Solution: Find the approximate percentage error made in computing the surface area