10th Edition

ISBN: 8220100803055

Author: SAUNDERS

Publisher: PEARSON

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In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

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Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

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Textbook Question

Chapter 11.2, Problem 17CE

C. Practical Applications. (Round to the nearest hundredth.)

Water/Wastewater Treatment According to Torricelli’s Law, the volume V of water remaining in a certain tank with an open drain at the bottom is given by

V = 40 ( 1 − t 15 ) 2

where t represents the time in minutes that the drain has been open. If the volume of water remaining in the tank is 10 gallons, how long has the tank been draining?

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Chapter 11.2, Problem 16CE

Chapter 11, Problem 1P

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Chapter 11 Solutions

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Solution Summary: The author explains how the volume of a water tank can be calculated by V=40(1-t15)2. Substitute V = 10 in the above

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Chapter 11 Solutions