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# Solutions for Chapter 16: Integration in Vector Fields

## Full solutions for Thomas' Calculus | 12th Edition

ISBN: 9780321587992

Solutions for Chapter 16: Integration in Vector Fields

Solutions for Chapter 16
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##### ISBN: 9780321587992

This expansive textbook survival guide covers the following chapters and their solutions. Since 60 problems in chapter 16: Integration in Vector Fields have been answered, more than 4036 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus was written by Sieva Kozinsky and is associated to the ISBN: 9780321587992. This textbook survival guide was created for the textbook: Thomas' Calculus, edition: 12. Chapter 16: Integration in Vector Fields includes 60 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arithmetic sequence

A sequence {an} in which an = an-1 + d for every integer n ? 2 . The number d is the common difference.

• Census

An observational study that gathers data from an entire population

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Elements of a matrix

See Matrix element.

• Ellipse

The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Exponential decay function

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

• Exponential form

An equation written with exponents instead of logarithms.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Inverse variation

See Power function.

• Law of cosines

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

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Linear regression

A procedure for finding the straight line that is the best fit for the data

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Real zeros

Zeros of a function that are real numbers.

• Resistant measure

A statistical measure that does not change much in response to outliers.

• Variance

The square of the standard deviation.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

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