Question

A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 14 cm. (Note the answer is a positive number).

When air expands adiabatically (without gaining or losing heat), its pressure PP and volume VV are related by the equation PV1.4=CPV1.4=C where CC is a constant. Suppose that at a certain instant the volume is 310310 cubic centimeters and the pressure is 8181 kPa and is decreasing at a rate of 1414 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

A company's revenue from selling x units of an item is given as R=1700x−1x2R=1700x-1x2. If sales are increasing at the rate of 20 units per day, how rapidly is revenue increasing (in dollars per day) when 150 units have been sold?

A company selling widgets has found that the number of items sold, x, depends upon the price, p at which they're sold, according the equation x=20000√2p+1x=200002p+1

Due to inflation and increasing health benefit costs, the company has been increasing the price by $2 per month. Find the rate at which revenue is changing when the company is selling widgets at $160 each.

Answer 1

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