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# Solutions for Chapter 5: Calculus of a Single Variable 8th Edition ## Full solutions for Calculus of a Single Variable | 8th Edition

ISBN: 9780618503032 Solutions for Chapter 5

Solutions for Chapter 5
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##### ISBN: 9780618503032

This expansive textbook survival guide covers the following chapters and their solutions. Since 13 problems in chapter 5 have been answered, more than 1720 students have viewed full step-by-step solutions from this chapter. Calculus of a Single Variable was written by and is associated to the ISBN: 9780618503032. Chapter 5 includes 13 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus of a Single Variable, edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Absolute value of a vector

See Magnitude of a vector.

• Annual percentage rate (APR)

The annual interest rate

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Increasing on an interval

A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

• Initial side of an angle

See Angle.

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Modified boxplot

A boxplot with the outliers removed.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Spiral of Archimedes

The graph of the polar curve.

• Sum of complex numbers

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

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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