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# Solutions for Chapter 14.10: Thomas' Calculus: Early Transcendentals 13th Edition

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

ISBN: 9780321884077

Solutions for Chapter 14.10

Solutions for Chapter 14.10
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##### ISBN: 9780321884077

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. Chapter 14.10 includes 12 full step-by-step solutions. Since 12 problems in chapter 14.10 have been answered, more than 82430 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Difference identity

An identity involving a trigonometric function of u - v

• Difference of complex numbers

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

• Inductive step

See Mathematical induction.

• Intercept

Point where a curve crosses the x-, y-, or z-axis in a graph.

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Present value of an annuity T

he net amount of your money put into an annuity.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Quartic regression

A procedure for fitting a quartic function to a set of data.

• Random variable

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

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Sum of an infinite series

See Convergence of a series

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Whole numbers

The numbers 0, 1, 2, 3, ... .

• Zero of a function

A value in the domain of a function that makes the function value zero.

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