Please number and circle all answers

AP Calculus AB arlo to stai erdt bart Related Rates Review 2 Name: Date: Assign#: Show all work, show diagram, label variables, box final answer including units: 1. A spherical balloon is being inflated at the rate of 8 cu in/min. How fast is the radius increasing the instant the diameter of the balloon is 10 in? 2. The top of a 17 ft ladder leaning against a wall starts to slide down the wall at the rate of 2ft/min. How fast is the base of the ladder sliding away from the wall the instant the base of the ladder is 15ft from the house? 3. A point P(x, y) moves on the graph of y' - 3=6x2 such that a = 3x. Find d at the point (-2, 3). 4. A conical paper cup, diameter 8in and height 6in, full of water is leaking. If water is leaking out at a rate of 4 in /min, find the rate the level of the water is dropping the instant the depth of the water is 2 in. 5. A cylindrical oil tank with radius 12 ft and height 8 ft is being filled at the rate of 16 cu ft/min at what rate is the height of the oil in the tank rising the instant the tank is half full? 6. A point P(x, y) moves on the graph of y2 + 3=3/16x such that a = x , find & at the point (4, 1)