The radius of a circular oil slick expands at a rate of 7 m/min. (a) How fast is the area of the oil slick increasing when the radius is 51 m? (Use symbolic notation and fractions where needed.) dA dt (b) If the radius is 0 at time t = 0, how fast is the area increasing after 5 min? (Use symbolic notation and fractions where needed.) dA dt = m²/min m²/min

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter19: Achievement Review—section One
Section: Chapter Questions
Problem 31AR: A shaft is turned in a lathe at 120 revolutions per minute. The cutting tool advances 0.030 inch per...
Question
The radius of a circular oil slick expands at a rate of 7 m/min.
(a) How fast is the area of the oil slick increasing when the radius is 51 m?
(Use symbolic notation and fractions where needed.)
dA
dt
(b) If the radius is 0 at time t = 0, how fast is the area increasing after 5 min?
(Use symbolic notation and fractions where needed.)
dA
dt
=
m²/min
m²/min
Transcribed Image Text:The radius of a circular oil slick expands at a rate of 7 m/min. (a) How fast is the area of the oil slick increasing when the radius is 51 m? (Use symbolic notation and fractions where needed.) dA dt (b) If the radius is 0 at time t = 0, how fast is the area increasing after 5 min? (Use symbolic notation and fractions where needed.) dA dt = m²/min m²/min
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