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.
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.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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