Question
1. The radius of a right circular cone is increasing at a rate of 1.7 in/s while its height is decreasing at a rate of
1. The radius of a right circular cone is increasing at a rate of 1.7 in/s while its height is decreasing at a rate of 2.8 in/s. At what rate is the volume of the cone changing when the radius is 135 in. and the height is 150 in.?
2. The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The resistance R is slowly increasing as the resistor heats up. Use Ohm's Law, V = IR, to find how the current I is changing at the moment when R = 471 , I = 0.07 A, dV/dt = 0.08 V/s, and dR/dt = 0.05 /s. (Round your answer to six decimal places.)
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