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Solutions for Chapter 18: LINE INTEGRALS

Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 18: LINE INTEGRALS

Solutions for Chapter 18
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ISBN: 9780470888612

Since 61 problems in chapter 18: LINE INTEGRALS have been answered, more than 44799 students have viewed full step-by-step solutions from this chapter. Chapter 18: LINE INTEGRALS includes 61 full step-by-step solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Degree

Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Implied domain

The domain of a function’s algebraic expression.

• Inequality

A statement that compares two quantities using an inequality symbol

See Polynomial function in x.

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Matrix element

Any of the real numbers in a matrix

• Negative linear correlation

See Linear correlation.

• Plane in Cartesian space

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

• Polar axis

See Polar coordinate system.

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.

• Second-degree equation in two variables

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

• Slope

Ratio change in y/change in x

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• Transformation

A function that maps real numbers to real numbers.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

• z-axis

Usually the third dimension in Cartesian space.

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