# Solutions for Chapter 16.5: Thomas' Calculus: Early Transcendentals 13th Edition

## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077

Solutions for Chapter 16.5

Solutions for Chapter 16.5
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##### ISBN: 9780321884077

This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. This expansive textbook survival guide covers the following chapters and their solutions. Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Chapter 16.5 includes 56 full step-by-step solutions. Since 56 problems in chapter 16.5 have been answered, more than 35627 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Bearing

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

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Compounded monthly

See Compounded k times per year.

• Dot product

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

• Factor

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

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Measure of an angle

The number of degrees or radians in an angle

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Negative association

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

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Parameter interval

See Parametric equations.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Reciprocal identity

An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

• x-intercept

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

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