A A trough is 9 feet long, and its cross section is in the shape of an isosceles right triangle with hypotenuse 2 feet, as shown above. Water begins flowing into the empty trough at the rate of 2 cubic feet per minute. At what rate is the height h feet of the water in the trough changing 2 minutes after the water begins to flow? B D Decreasing at foot per minute Increasing at foot per minute Decreasing at foot per minute 6 9 ft Increasing at foot per minute 2 ft-
A A trough is 9 feet long, and its cross section is in the shape of an isosceles right triangle with hypotenuse 2 feet, as shown above. Water begins flowing into the empty trough at the rate of 2 cubic feet per minute. At what rate is the height h feet of the water in the trough changing 2 minutes after the water begins to flow? B D Decreasing at foot per minute Increasing at foot per minute Decreasing at foot per minute 6 9 ft Increasing at foot per minute 2 ft-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A
A trough is 9 feet long, and its cross section is in the shape of an isosceles right triangle with hypotenuse 2
feet, as shown above. Water begins flowing into the empty trough at the rate of 2 cubic feet per minute. At
what rate is the height h feet of the water in the trough changing 2 minutes after the water begins to flow?
S
B
Decreasing at foot per minute
Increasing at foot per minute
Decreasing at foot per minute
9 ft
Increasing at foot per minute
-2 ft-
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