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# Solutions for Chapter 6.3: Volumes by Cylindrical Shells

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 6.3: Volumes by Cylindrical Shells

Solutions for Chapter 6.3
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##### ISBN: 9780534393397

Chapter 6.3: Volumes by Cylindrical Shells includes 46 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Since 46 problems in chapter 6.3: Volumes by Cylindrical Shells have been answered, more than 46661 students have viewed full step-by-step solutions from this chapter. Calculus, was written by and is associated to the ISBN: 9780534393397.

Key Calculus Terms and definitions covered in this textbook
• Back-to-back stemplot

A stemplot with leaves on either side used to compare two distributions.

• Factor

In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Index

• Instantaneous rate of change

See Derivative at x = a.

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Partial sums

See Sequence of partial sums.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Root of a number

See Principal nth root.

• Sequence of partial sums

The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

• Slope-intercept form (of a line)

y = mx + b

• Solve by substitution

Method for solving systems of linear equations.

• System

A set of equations or inequalities.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• y-intercept

A point that lies on both the graph and the y-axis.

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