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# Solutions for Chapter 6.3: Volumes by Cylindrical Shells

## Full solutions for Single Variable Calculus: Early Transcendentals | 8th Edition

ISBN: 9781305270336

Solutions for Chapter 6.3: Volumes by Cylindrical Shells

Solutions for Chapter 6.3
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##### ISBN: 9781305270336

This expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 6.3: Volumes by Cylindrical Shells have been answered, more than 37959 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Chapter 6.3: Volumes by Cylindrical Shells includes 48 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Circle graph

A circular graphical display of categorical data

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• Endpoint of an interval

A real number that represents one “end” of an interval.

• Equivalent systems of equations

Systems of equations that have the same solution.

• Event

A subset of a sample space.

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Multiplicative identity for matrices

See Identity matrix

• Negative linear correlation

See Linear correlation.

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Right circular cone

The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

• Subtraction

a - b = a + (-b)

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• xy-plane

The points x, y, 0 in Cartesian space.

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