1) Given = 2 + 3 and is changing at a rate of = 4, find when x = 1.

1) Given y = x2 + 3 and x is changing at a rate of - = 4, find - when x = 1. 2) The sides of a cube increase at a constant rate of 2 ft/sec( = = 2), find the rate at which the volume is increasing () when the side of the cube is 4 ft(s = 4)? 3) The volume of a cube decreases at a rate of 10 cm /sec. Find the rate at which the side length of the cube is decreasing when the side of the cube is 2 cm. 4) The radius of a sphere increases at a rate of 1 cm/sec. a) Find the rate at which the volume is increasing when the radius is 5 cm. b) Find the rate at which surface area of the sphere is increasing when the radius is 5cm