Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

3rd Edition

ISBN: 9780134995991

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Concept explainers

Minimization

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 8.5, Problem 73E

Two methods Evaluate ∫ d x x 2 − 1 , for x > l, in two ways; using partial fractions and a trigonometric substitution. Reconcile your two answers.

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Chapter 8.5, Problem 72E

Chapter 8.5, Problem 76E

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Chapter 8 Solutions

Calculus: Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)

Ch. 8.1 - What change of variable would you use for the...Ch. 8.1 - Explain how to simplify the integrand of...Ch. 8.1 - Explain how to simplify the integrand of x+1x1dx...Ch. 8.1 - Express x2 + 6x + 16 in terms of a perfect square.Ch. 8.1 - What change of variables would you use for the...Ch. 8.1 - Evaluate (secx+1)2dx. (Hint: Expand (sec x + 1)2...Ch. 8.1 - What trigonometric identity is useful in...Ch. 8.1 - Let f(x)=4x3+x+24x+2x2+1. Use long division to...Ch. 8.1 - Describe a first step in integrating 10x24x9dx.Ch. 8.1 - Evaluate 2x+1x2+1dx using the following steps. a....

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Two methods Evaluate ∫ d x x 2 − 1 , for x &gt; l, in two ways; using partial fractions and a trigonometric substitution. Reconcile your two answers.

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Chapter 8 Solutions

Additional Math Textbook Solutions

Two methods Evaluate ∫ d x x 2 − 1 , for x > l, in two ways; using partial fractions and a trigonometric substitution. Reconcile your two answers.