If y = 235'\" -l- {3 Ill-1. nd Dzy using the generalized power rule in Theorem A on page 133. A woman standing on a cliff is watching a motorboat through a telescope as the boat approaches the shoreline directly below her. If the telescope is 100 feet above the water level and if the boat is approaching at 20 feet per seconds. at what rate is the angle of the telescope changing when the boat is zoo feet from the shore? negative radian per second Webster lCity monitors the height of the water in its cylindn'cal water tank with an automatic recording device. Water is constantly pumped into the tank at the rate of 230'] cubic feet per hour. lfthe radius of the tank is 20 feet and the water level fell at the rate of 4 feet per hour at T AM. at what rate was water being used exactly at that time? cubic feet per hour A spherical snowball is melting in such a way that its diameter is decreasing at rate of {1.3 cmlmin. Assume that the snowball remains perfectly spherical as it melts. At what rate is the volume of the snowball decreasing when the diameter is 1t] cm? Recall that the volume of a sphere is given by the formula V = gar: {Note that the answer is a positive number, since you are being asked for a rate of decrease}. cmafmin Find the linearization approximation LIIE) of the function f[:] = $4 $2 1 at o. = 2. Lrs] =