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# Solutions for Chapter 16.2: LINE INTEGRALS ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Solutions for Chapter 16.2: LINE INTEGRALS

Solutions for Chapter 16.2
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##### ISBN: 9780538497879

This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 52 problems in chapter 16.2: LINE INTEGRALS have been answered, more than 21977 students have viewed full step-by-step solutions from this chapter. Chapter 16.2: LINE INTEGRALS includes 52 full step-by-step solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Circle

A set of points in a plane equally distant from a fixed point called the center

• Circular functions

Trigonometric functions when applied to real numbers are circular functions

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Directed distance

See Polar coordinates.

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• Negative association

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

• Negative numbers

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

• Nonsingular matrix

A square matrix with nonzero determinant

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Polar form of a complex number

See Trigonometric form of a complex number.

• 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.

• Row operations

See Elementary row operations.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• 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.

• Xmin

The x-value of the left side of the viewing window,.

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