#27 AP Calculus AB 21. At time 1 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of the water inthe tank is increasing at a rate of W(t) feet per hour. Which of the following is the best interpretation of thestatement W'(2) > 3 ?(A) Two hours after the tank begins filling with water, the depth of the water is increasing at a rate greater than3 feet per hour.(B) Over the first two hours after the tank begins filling wíth water, the depth of the water is always increasingat 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 isincreasing 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 isrising is always increasing at a rate greater than 3 feet per hour per hour.

Answered: Image /qna-images/answer/20f7ff03-d922-4772-8e93-5f018e2ebef7.jpg

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.

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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