Back to Functions, Derivatives, and Antiderivatives

Exercise 16

Avg difficulty 2.5

As water drains from a tank the drainage rate continually decreases over time. Suppose that a tank that initially holds 360 gal of water drains in exactly 66 minutes. Answer each of the following questions about this problem situation.

Suppose that V(t)\fe{V}{t} is the amount of water (gal)left in the tank where tt is the amount of time that has elapsed (s) since the drainage began. Which of the following is the most realistic value for V′′(45)\fe{\sd{V}}{45}?

  1. 1.01.0

  2. 0.0010.001

  3. −1.0-1.0

  4. −0.001-0.001

Simonds, Calculus Lab Manual, §4.7 Supplement, Exercise 16

AI Tutor

Adapted from Calculus Lab Manual © 2012–2016 Portland Community College. Licensed under CC BY-SA 4.0. Source: Calculus Lab Manual. Imported at revision 3060f8e.