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# Solutions for Chapter 8-4: Volume of a Solid of Revolution by Cylindrical Shells ## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547 Solutions for Chapter 8-4: Volume of a Solid of Revolution by Cylindrical Shells

Solutions for Chapter 8-4
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##### ISBN: 9781559536547

Chapter 8-4: Volume of a Solid of Revolution by Cylindrical Shells includes 35 full step-by-step solutions. Since 35 problems in chapter 8-4: Volume of a Solid of Revolution by Cylindrical Shells have been answered, more than 21467 students have viewed full step-by-step solutions from this chapter. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2.

Key Calculus Terms and definitions covered in this textbook
• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Closed interval

An interval that includes its endpoints

• Constant of variation

See Power function.

• Cosecant

The function y = csc x

• Course

See Bearing.

• Directed distance

See Polar coordinates.

• Directed line segment

See Arrow.

• Divergence

A sequence or series diverges if it does not converge

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• Exponential form

An equation written with exponents instead of logarithms.

• Imaginary unit

The complex number.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Pascal’s triangle

A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• xy-plane

The points x, y, 0 in Cartesian space.

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