Suppose that the function r(t) gives the depth, in inches, of the water in a holding tank t minutes after a leak developed. Which, if any, of the three statements below convey the practical dr meaning of lt=5 = -3 ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose that the function r(t) gives the depth, in inches, of the water in a holding tank t minutes
after a leak developed. Which, if any, of the three statements below convey the practical
dr
meaning of
= -3 ?
dt It=5
A) 5 minutes after the leak began, the depth was decreasing at a rate of 3 inches per minute.
B) 5 minutes after the leak began, the depth was decreasing at a rate of -3 inches per minute.
C) 5 minutes after the leak began, the depth was increasing at a rate of -3 inches per minute.
Transcribed Image Text:Suppose that the function r(t) gives the depth, in inches, of the water in a holding tank t minutes after a leak developed. Which, if any, of the three statements below convey the practical dr meaning of = -3 ? dt It=5 A) 5 minutes after the leak began, the depth was decreasing at a rate of 3 inches per minute. B) 5 minutes after the leak began, the depth was decreasing at a rate of -3 inches per minute. C) 5 minutes after the leak began, the depth was increasing at a rate of -3 inches per minute.
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