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# Solutions for Chapter 9.4: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 9.4

Solutions for Chapter 9.4
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##### ISBN: 9780321884077

Chapter 9.4 includes 20 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 20 problems in chapter 9.4 have been answered, more than 89407 students have viewed full step-by-step solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13.

Key Calculus Terms and definitions covered in this textbook
• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Bar chart

A rectangular graphical display of categorical data.

• Common logarithm

A logarithm with base 10.

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Convergence of a sequence

A sequence {an} converges to a if limn: q an = a

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear combination of vectors u and v

An expression au + bv , where a and b are real numbers

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Polynomial interpolation

The process of fitting a polynomial of degree n to (n + 1) points.

• Real number line

A horizontal line that represents the set of real numbers.

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Removable discontinuity at x = a

lim x:a- ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

• Second quartile

See Quartile.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Sum of an infinite geometric series

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

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Wrapping function

The function that associates points on the unit circle with points on the real number line

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