The power P in watts delivered to a small light bulb and R is its resistance in Ohms. The current is given by P=I²R, where I is the current in amperes flowing through the bulb, and Ris its resistance in ohms. The current is given by I=5-0.001t and the resistance is given by R=10+0.08t, where t is time measured in seconds. Determine the rate of changeof power, after t seconds, and 10 seconds.

þne statement of Boyle's law is that the pressure of a gas varies inversely as the volume for constant temperature. If a certain gas occupies 670 cm when the pressure is 260 kPa and the volume is increasing at the rate of 20.0 cm /min, how fast is the pressure changing when the volume is 800 cm? .... Boyle's law indicates that the pressure of a gas, P, varies inversely as the volume, V, for constant temperature, C. Write an equation for P with respect to V and C. P= V when the volume is 800 cm The pressure is changing at a rate of (Type an integer or decimal rounded to one decimal place as needed.)

A triangle has a base that is increasing at a rate of 2 cm/sec and a height that is decreasing at a rate of 3 cm/sec. Find the rate of change of the area of the triangle when the height is 6 cm and the area is 24 cm². Write your answer as a decimal rounded to two decimal places. cm²/s

The power, P, dissipated when a 2-volt battery is put across a resistance of R ohms is given by