14. A spherical balloon is inflated with gas at the rate of 20 cm'/sec. How fast is the radius of the balloon increasing at the instant the radius is 10 cm? 15. A television camera is positioned 3000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed is 1000 ft/sec when it has risen 4000 ft. a. How fast is the distance from the television camera to the rocket changing at that moment? Hapress the worthme of water b. If the television camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing at that same moment