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# Solutions for Chapter 10.7: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 10.7

Solutions for Chapter 10.7
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##### ISBN: 9780321884077

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. This expansive textbook survival guide covers the following chapters and their solutions. Since 60 problems in chapter 10.7 have been answered, more than 74277 students have viewed full step-by-step solutions from this chapter. Chapter 10.7 includes 60 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arrow

The notation PQ denoting the directed line segment with initial point P and terminal point Q.

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Convenience sample

A sample that sacrifices randomness for convenience

• Cotangent

The function y = cot x

• Cycloid

The graph of the parametric equations

• Geometric sequence

A sequence {an}in which an = an-1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

• kth term of a sequence

The kth expression in the sequence

• Law of sines

sin A a = sin B b = sin C c

See Polynomial function in x

• Linear combination of vectors u and v

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

• Linear system

A system of linear equations

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• 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.

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• 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

• Root of a number

See Principal nth root.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

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