77. The rate at which water leaks from a tank, in gallons per hour, is modeled by R, a differentiable function of the number of hours after the leak is discovered. Which of the following is the best interpretation of R'(3) ? (A) The amount of water, in gallons, that has leaked out of the tank during the first three hours after the leak is discovered (B) The amount of change, in gallons per hour, in the rate at which water is leaking during the three hours after the leak is discovered (C) The rate at which water leaks from the tank, in gallons per hour, three hours after the leak is discovered (D) The rate of change of the rate at which water leaks from the tank, in gallons per hour per hour, three hours after the leak is discovered

77. The rate at which water leaks from a tank, in gallons per hour, is modeled by R, a differentiable function of the number of hours after the leak is discovered. Which of the following is the best interpretation of R'(3) ? (A) The amount of water, in gallons, that has leaked out of the tank during the first three hours after the leak is discovered (B) The amount of change, in gallons per hour, in the rate at which water is leaking during the three hours after the leak is discovered (C) The rate at which water leaks from the tank, in gallons per hour, three hours after the leak is discovered (D) The rate of change of the rate at which water leaks from the tank, in gallons per hour per hour, three hours after the leak is discovered

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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