1. Find the second derivative for each of the following.

a) f(x) = 13x⁴ - 7x³ + 5x² + 11x + 75

b) f(x) = (x³ + 2x² + 4)(x⁴ - 3)

c) f(x) = (4x³ - 7x)⁷

d) 12=y² +x²

2. If a ball is thrown upward with a velocity of 25 m/s from the upper observation deck of the CN tower, 450 m above the ground, then the distance, in meters, of the ball above the ground after t seconds is

s(t) = 450 + 25t - 4.9t², t 0.

a) When does the ball reach its maximum height?

b) Calculate the maximum height of the ball.

c) Use the quadratic formula to find how long it takes for the ball to reach the ground.

d) Find the approximate velocity with which the ball strikes the ground.