12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

Concept explainers

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.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

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 11.3, Problem 16E

A 2000- ft 2 storage building 9 ft high is needed to store yard maintenance equipment. What dimensions should be used to minimize the outside walls?

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Chapter 11.3, Problem 15E

Chapter 11.3, Problem 17E

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Chapter 11 Solutions

Elementary Technical Mathematics

Ch. 11.1 - Solve each equation: x2+x=12 Ch. 11.1 - Solve each equation: x23x+2=0 Ch. 11.1 - Solve each equation: x2+x20=0 Ch. 11.1 - Prob. 4E Ch. 11.1 - Solve each equation: x22=x Ch. 11.1 - Solve each equation: x215x=54 Ch. 11.1 - Solve each equation: x21=0 Ch. 11.1 - Solve each equation: 16n2=49 Ch. 11.1 - Solve each equation: x249=0 Ch. 11.1 - Prob. 10E

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A 2000- ft 2 storage building 9 ft high is needed to store yard maintenance equipment. What dimensions should be used to minimize the outside walls?

Solution Summary: The author calculates the dimension of storage building having area 2000 square feet. The length and width of the rectangle can never be negative.

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Chapter 11 Solutions