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Textbooks / Calculus / Multivariable Calculus, 7

# Multivariable Calculus, 7th Edition - Solutions by Chapter ## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879 Multivariable Calculus, | 7th Edition - Solutions by Chapter

Solutions by Chapter
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##### ISBN: 9780538497879

Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. This expansive textbook survival guide covers the following chapters: 66. Since problems from 66 chapters in Multivariable Calculus, have been answered, more than 19120 students have viewed full step-by-step answer. The full step-by-step solution to problem in Multivariable Calculus, were answered by , our top Calculus solution expert on 01/22/18, 03:30PM. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7.

Key Calculus Terms and definitions covered in this textbook

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• Elementary row operations

The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

• Imaginary axis

See Complex plane.

• Implied domain

The domain of a function’s algebraic expression.

• Initial value of a function

ƒ 0.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Mathematical model

A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

• Negative numbers

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

• Open interval

An interval that does not include its endpoints.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Partial fraction decomposition

See Partial fractions.

• Product of a scalar and a vector

The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

An angle in standard position whose terminal side lies on an axis.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Subtraction

a - b = a + (-b)

• Sum of an infinite geometric series

Sn = a 1 - r , |r| 6 1