1)A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, at what rate is the volume increasing when the radius is 5 inches?

2. A particle moves in a circular orbit x2 + y2 = 16. As it passes through the point (2, 2root 3 ), its y-coordinate decreases at a rate of 3 units per second. At what rate is the x coordinate changing?

3 )A point moves along the straight line x + 3y = 6. Find the rate of change of the y-coordinate, given that the x-coordinate is increasing at a rate of 3 units per second.

4) If a point is moving along y = 3x^2 - 4x - 6 at a rate of dx/ dt = 4 m/s, find dy /dt , when x = 3

5) A heap of garbage in the shape of a cube is being compacted. Given that the volume decreases at a rate of 2 cubic meters per minute, find the rate of change of an edge of the cube when the volume is exactly 27 cubic meters.

6) A circle with area A = pi r^2 is expanding with time. If dA/ dt = 5 cm2 /s, what is dr /dt when r = 6?

8. A sphere is expanding at the rate of 8 cm /sec, the formula for volume of a sphere is V = 4 dr what is when r = 5? dt\f9. A cone is expanding at the rate of 9 cm /sec, the formula for volume of a cone is: V = "! ! " let 3 h = 2r, what is dr when r = 3? dt10. A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm /s. What is the rate of change of the volume if r = 3 and V = mir'h