dA in terms of dt dr (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 36 m? m2/s

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question
dA
in terms of
dt
dr
(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 m
?/s) is
the area of the spill increasing when the radius is 36 m?
m2/s
Transcribed Image Text:dA in terms of dt dr (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 m ?/s) is the area of the spill increasing when the radius is 36 m? m2/s
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