A parked car dripping transmission fluid is creating a circular puddle whose area (in square inches) is A = r² where r is the radius of the circle in inches. Find the rate at which the area puddle is increasing at the instant when the radius is 18 inches and increasing at a rate of 4 inches per minute. When the radius is 18 inches, the area is changing at approximately (Round to the nearest thousandth as needed.) square inches per minute.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A parked car dripping transmission fluid is creating a circular puddle whose area (in square inches) is A = ² where r is the radius of the circle in inches. Find the rate at which the area of the
puddle is increasing at the instant when the radius is 18 inches and increasing at a rate of 4 inches per minute.
When the radius is 18 inches, the area is changing at approximately
(Round to the nearest thousandth as needed.)
square inches per minute.
Transcribed Image Text:A parked car dripping transmission fluid is creating a circular puddle whose area (in square inches) is A = ² where r is the radius of the circle in inches. Find the rate at which the area of the puddle is increasing at the instant when the radius is 18 inches and increasing at a rate of 4 inches per minute. When the radius is 18 inches, the area is changing at approximately (Round to the nearest thousandth as needed.) square inches per minute.
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