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Solutions for Chapter 7: Calculus 8th Edition

Full solutions for Calculus | 8th Edition

ISBN: 9781285740621

Solutions for Chapter 7

Solutions for Chapter 7
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ISBN: 9781285740621

Chapter 7 includes 16 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Calculus was written by and is associated to the ISBN: 9781285740621. Since 16 problems in chapter 7 have been answered, more than 9441 students have viewed full step-by-step solutions from this chapter.

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.

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Components of a vector

See Component form of a vector.

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Graphical model

A visible representation of a numerical or algebraic model.

• Horizontal shrink or stretch

See Shrink, stretch.

• Law of sines

sin A a = sin B b = sin C c

• Line of travel

The path along which an object travels

• n factorial

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

• Newton’s law of cooling

T1t2 = Tm + 1T0 - Tm2e-kt

• nth root of unity

A complex number v such that vn = 1

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Positive angle

Angle generated by a counterclockwise rotation.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

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