dr dA in terms of dt (a) If A is the area of a circle with radiusr 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 25 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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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 25 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 25 m? m2/s
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