The radius of a circular oil slick expands at a rate of 2 m/min. (a) How fast is the area of the oil slick increasing when the radius is 24 m? m²/min dA dt = (b) If the radius is 0 at time t = increasing after 5 mins? d = m²/min dt 0, how fast is the area

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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The radius of a circular oil slick expands at a rate of 2
m/min.
(a) How fast is the area of the oil slick increasing when the
radius is 24 m?
dA = m²/min
dt.
(b) If the radius is 0 at time t = 0, how fast is the area
increasing after 5 mins?
d4 = m²/min
dA
dt
Transcribed Image Text:The radius of a circular oil slick expands at a rate of 2 m/min. (a) How fast is the area of the oil slick increasing when the radius is 24 m? dA = m²/min dt. (b) If the radius is 0 at time t = 0, how fast is the area increasing after 5 mins? d4 = m²/min dA dt
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