Plz solve with answer clearly

A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 3 ft/min. What is the rate in the change of area at the instant that the radius is 14 ft? Write an equation relating the area of a circle, A, and the radius of the circle, r. (Type an exact answer, using it as needed.) ft 3 A spherical balloon is inflating with helium at a rate of 320r How fast is the balloon's min radius increasing at the instant the radius is 4 ft? Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using it as needed.) An airliner passes over an airport at noon traveling 510 mi/hr due east. At 1:00 p.m., another airliner passes over the same airport at the same elevation traveling due south at 560 mi/hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 2:00 p.m.? The equation relating the horizontal distance between the first airliner and the airport, a, the horizontal distance between the second airliner and the airport, b, and the horizontal distance between the two airliners, c is Once Kate's kite reaches a height of 59 ft (above her hands), it rises no higher but drifts due east in a wind blowing 6 ft/s. How fast is the string running through Kate's hands at the moment that she has released 121 ft of string? Let x be the horizontal distance from Kate to the kite and z be the length of the string. Write an equation relating x and z. A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at a constant rate of 2 ft/s, and the capstan is 5 ft vertically above the water. How fast is the boat traveling when it is 8 it from the dock? Let x be the horizontal distance from the boat to the dock and z be the length of the rope Write an equation relating x and z