A pebble is dropped into a calm pond causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate of foot per second. When the radius is 6 feet, at what rate is the total area A of the disturbed water changing? O a. none of the choices O b. 4 square feet per second O c. 27 square feet per second O d. 8T square feet per second Oe. 4T square feet per second

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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A pebble is dropped into a calm pond causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate of foot per second. When the
radius is 6 feet, at what rate is the total area A of the disturbed water changing?
O a. none of the choices
O b. 4 square feet per second
O c. 27 square feet per second
O d. 87 square feet per second
O e. 47 square feet per second
Transcribed Image Text:A pebble is dropped into a calm pond causing ripples in the form of concentric circles. The radius r of the outer ripple is increasing at a constant rate of foot per second. When the radius is 6 feet, at what rate is the total area A of the disturbed water changing? O a. none of the choices O b. 4 square feet per second O c. 27 square feet per second O d. 87 square feet per second O e. 47 square feet per second
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