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# Solutions for Chapter 13: Calculus 8th Edition ## Full solutions for Calculus | 8th Edition

ISBN: 9781285740621 Solutions for Chapter 13

Solutions for Chapter 13
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##### ISBN: 9781285740621

Chapter 13 includes 9 full step-by-step solutions. Calculus was written by and is associated to the ISBN: 9781285740621. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 9 problems in chapter 13 have been answered, more than 5276 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Composition of functions

(f ? g) (x) = f (g(x))

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Cosecant

The function y = csc x

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Directed line segment

See Arrow.

• Equation

A statement of equality between two expressions.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Index of summation

See Summation notation.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Parameter interval

See Parametric equations.

• Phase shift

See Sinusoid.

• 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.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertical stretch or shrink

See Stretch, Shrink.

• y-intercept

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

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