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# Solutions for Chapter 9.PE: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 9.PE

Solutions for Chapter 9.PE
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##### ISBN: 9780321717399

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 92 problems in chapter 9.PE have been answered, more than 101274 students have viewed full step-by-step solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 9.PE includes 92 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arctangent function

See Inverse tangent function.

• Coefficient of determination

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

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Dependent event

An event whose probability depends on another event already occurring

• Direction vector for a line

A vector in the direction of a line in three-dimensional space

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Equilibrium price

See Equilibrium point.

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• 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

• Mapping

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

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Orthogonal vectors

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

• Parameter interval

See Parametric equations.

• 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)

• Positive numbers

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

• Re-expression of data

A transformation of a data set.

• y-coordinate

The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.