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# Solutions for Chapter 2.5: University Calculus: Early Transcendentals 2nd Edition

## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399

Solutions for Chapter 2.5

Solutions for Chapter 2.5
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##### ISBN: 9780321717399

This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Chapter 2.5 includes 78 full step-by-step solutions. Since 78 problems in chapter 2.5 have been answered, more than 57772 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Closed interval

An interval that includes its endpoints

• 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>

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Horizontal component

See Component form of a vector.

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Inverse function

The inverse relation of a one-to-one function.

• Linear system

A system of linear equations

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Parametric curve

The graph of parametric equations.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Sum of an infinite geometric series

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

• Vertical component

See Component form of a vector.

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