At time t = 0, a storage tank is empty and begins filling with water. For t> 0 hours, the depth of the water in the tank is increasing at a rate of W(t) feet per hour. Which of the following is the best interpretation of the statement W'(2) > 3 ? %3D (A) Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 3 feet per hour. (B) Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour. (C) Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour. (D) Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 3 feet per hour per hour.
At time t = 0, a storage tank is empty and begins filling with water. For t> 0 hours, the depth of the water in the tank is increasing at a rate of W(t) feet per hour. Which of the following is the best interpretation of the statement W'(2) > 3 ? %3D (A) Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than 3 feet per hour. (B) Over the first two hours after the tank begins filling with water, the depth of the water is always increasing at a rate greater than 3 feet per hour. (C) Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is increasing at a rate greater than 3 feet per hour per hour. (D) Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is rising is always increasing at a rate greater than 3 feet per hour per hour.
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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#27 AP Calculus AB
Transcribed Image Text:21. At time 1 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water in
the tank is increasing at a rate of W(t) feet per hour. Which of the following is the best interpretation of the
statement W'(2) > 3 ?
(A) Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than
3 feet per hour.
(B) Over the first two hours after the tank begins filling wíth water, the depth of the water is always increasing
at a rate greater than 3 feet per hour.
(C) Two hours after the tank begins filling with water, the rate at which the depth of the water is rising is
increasing at a rate greater than 3 feet per hour per hour.
(D) Over the first two hours after the tank begins filling with water, the rate at which the depth of the water is
rising is always increasing at a rate greater than 3 feet per hour per hour.
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