A circle is inside a square. The radius of the circle is increasing at a rate of 2 meters per minute and the sides of the square are increasing at a rate of 3 meters per minute. When the radius is 2 meters, and the sides are 15 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is meters per minute. square

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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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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A circle is inside a square.
The radius of the circle is increasing at a rate of 2 meters per minute and the sides of the square are
increasing at a rate of 3 meters per minute.
When the radius is 2 meters, and the sides are 15 meters, then how fast is the AREA outside the circle but
inside the square changing?
The rate of change of the area enclosed between the circle and the square is
meters per minute.
square
Transcribed Image Text:A circle is inside a square. The radius of the circle is increasing at a rate of 2 meters per minute and the sides of the square are increasing at a rate of 3 meters per minute. When the radius is 2 meters, and the sides are 15 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is meters per minute. square
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