dr dA in terms of dt (a) If A is the area of a circle with radius r and the circle expands as time passes, find dt dA dr dt dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in m2/s) is the area of the spill increasing when the radius is 40 m? m2/s

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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dr
dA
in terms of
dt
(a) If A is the area of a circle with radius r and the circle expands as time passes, find
dt
dA
dr
dt
dt
(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in
m2/s) is the area of the spill increasing when the radius is 40 m?
m2/s
Transcribed Image Text:dr dA in terms of dt (a) If A is the area of a circle with radius r and the circle expands as time passes, find dt dA dr dt dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in m2/s) is the area of the spill increasing when the radius is 40 m? m2/s
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