Fundamentals of Calculus by Morris Carla C.; Stark Robert M.; & ROBERT M. STARK

Author:Morris, Carla C.; Stark, Robert M.; & ROBERT M. STARK
Language: eng
Format: epub
Publisher: John Wiley & Sons, Incorporated
Published: 2015-06-02T00:00:00+00:00

A 13-foot ladder rests against a wall. If the bottom of the ladder slides horizontally from the wall at 2 ft/s, how fast is the top of the ladder sliding down the wall when it is 12 ft above the ground?

Air is pumped into a spherical balloon at a rate of . Find the rate at which the radius is changing when its diameter is 12 inches, assuming constant pressure.

A kite is flying at a height of 60 ft. Wind carries the kite horizontally away from an observer at a rate of 2 ft/s. At what rate must the string be released when the kite is 100 ft away?

The current, I, (in amperes) in an electrical circuit is where R is the resistance (in ohms). Find the rate of change of I with respect to R when the resistance is 5 ohms.

Suppose that the price p (in dollars) and the monthly sales x (in thousands of units) of a commodity satisfy . Determine the rate at which sales are changing at a time when and the price is falling at a rate of $1 per month.

Consider the Cobb–Douglas Production Function, . Use implicit differentiation to calculate when and .

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