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# Solutions for Chapter 10.10: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 10.10

Solutions for Chapter 10.10
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##### ISBN: 9780321884077

Since 74 problems in chapter 10.10 have been answered, more than 67508 students have viewed full step-by-step solutions from this chapter. Chapter 10.10 includes 74 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Bar chart

A rectangular graphical display of categorical data.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Cotangent

The function y = cot x

• Direct variation

See Power function.

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Exponential function

A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Open interval

An interval that does not include its endpoints.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Partial fraction decomposition

See Partial fractions.

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• 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.

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Slant line

A line that is neither horizontal nor vertical

• Sum of functions

(ƒ + g)(x) = ƒ(x) + g(x)

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