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

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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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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