f+lc 2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high. Oil is pumped out of the tank at a rate of 18 feet³ per minute. (a) How fast is the radius at the top of oil changing when the radius at the top of the oil is 30 feet? (b) How fast is the depth of oil changing when the radius at the top of the oil is 3 feet? r=24ft

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Ladd
tior
X(+)
derivative
base of the ladder slides away from the wall at a rate of 2 feet per
second. How fast is the top of the ladder moving down the wall when
1-dder is 5 feet from the wall?
f+lc
2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high. Oil is pumped out of the
tank at a rate of 18 feet³ per minute.
(a) How fast is the radius at the top of oil changing when the radius at the top of the oil is 30 feet?
(b) How fast is the depth of oil changing when the radius at the top of the oil is 3 feet?
r=24ft
h=3uft
ܚܢ
3
beds
do's
Transcribed Image Text:Ladd tior X(+) derivative base of the ladder slides away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when 1-dder is 5 feet from the wall? f+lc 2. A conical oil tank with vertex down has a radius of 24 feet at the top and is 36 feet high. Oil is pumped out of the tank at a rate of 18 feet³ per minute. (a) How fast is the radius at the top of oil changing when the radius at the top of the oil is 30 feet? (b) How fast is the depth of oil changing when the radius at the top of the oil is 3 feet? r=24ft h=3uft ܚܢ 3 beds do's
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