4. The area of a semicircle is given by A = 0.5r², where r is the radius in inches. The semicircle, displayed on a computer screen, is increasing in size, and its dimensions are measured over a period of t seconds. a) If the radius is increasing at the rate of 0.25 inch per second, at what rate is the area changing when the area is 67 square inches? b) If the area of the semicircle is increasing at a constant rate of 8 square inches per second, is the radius of the semicircle increasing more rapidly when the radius is 2 inches or when the radius is 3 inches? c) Suppose that the area of the semicircle is increasing at a constant rate. At 5 seconds, the semicircle has an area of 4t square inches. At 7 seconds it has an area of 57 square inches. In terms of r, at what rate is the radius changing?

4. The area of a semicircle is given by A = 0.5r², where r is the radius in inches. The semicircle, displayed on a computer screen, is increasing in size, and its dimensions are measured over a period of t seconds. a) If the radius is increasing at the rate of 0.25 inch per second, at what rate is the area changing when the area is 67 square inches? b) If the area of the semicircle is increasing at a constant rate of 8 square inches per second, is the radius of the semicircle increasing more rapidly when the radius is 2 inches or when the radius is 3 inches? c) Suppose that the area of the semicircle is increasing at a constant rate. At 5 seconds, the semicircle has an area of 4t square inches. At 7 seconds it has an area of 57 square inches. In terms of r, at what rate is the radius changing?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

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