14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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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Question

Chapter 4.7, Problem 2C

To determine

To find: A function f whose area accumulation function is negative [0,5] .

To determine

To find: The function f whose area accumulation function is decreasing on [0,5] .

To determine

To find: three antiderivatives of esin2x .

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Chapter 4.7, Problem 1C

Chapter 4.7, Problem 3C

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Chapter 4 Solutions

Loose-leaf Version for Calculus

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A function f whose area accumulation function is negative [ 0 , 5 ] .

Solution Summary: The author explains how to find a function f whose area accumulation function is negative.

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To find: A function f whose area accumulation function is negative [0,5] .

To find: The function f whose area accumulation function is decreasing on [0,5] .

To find: three antiderivatives of esin2x .

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Chapter 4 Solutions