A water tank is created by revolving the graph y=1/x about the y-axis, with the v(h) = √ ^ 72 dy. bottom of tank at y = 1. The volume of the tank is given by where h is the height of the water in the tank. Initially, the tank is empty, but water begins to flow into the tank at a rate of 1.5 cubic feet per minute. Determine how fast the level of the water is rising when the water is 2 feet deep. 0.95 ft/min. 1.91 ft/min. 3.0 ft/min. 6 ft/min. 13.5 ft/min.

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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A water tank is created by revolving the graph y=1/x about the y-axis, with the
h
ㅠ
¸ v(h) = [ ^.
- dy,
y²
bottom of tank at y = 1. The volume of the tank is given by
where h
is the height of the water in the tank. Initially, the tank is empty, but water begins to
flow into the tank at a rate of 1.5 cubic feet per minute. Determine how fast the
level of the water is rising when the water is 2 feet deep.
0.95 ft/min.
1.91 ft/min.
3.0 ft/min.
6 ft/min.
13.5 ft/min.
Transcribed Image Text:A water tank is created by revolving the graph y=1/x about the y-axis, with the h ㅠ ¸ v(h) = [ ^. - dy, y² bottom of tank at y = 1. The volume of the tank is given by where h is the height of the water in the tank. Initially, the tank is empty, but water begins to flow into the tank at a rate of 1.5 cubic feet per minute. Determine how fast the level of the water is rising when the water is 2 feet deep. 0.95 ft/min. 1.91 ft/min. 3.0 ft/min. 6 ft/min. 13.5 ft/min.
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