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 32 m? m2/s

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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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 32 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 m2/s) is the area of the spill increasing when the radius is 32 m? m2/s
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