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# Solutions for Chapter 7.9: Numerical Integration ## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885 Solutions for Chapter 7.9: Numerical Integration

Solutions for Chapter 7.9
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##### ISBN: 9781464114885

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.9: Numerical Integration includes 64 full step-by-step solutions. Since 64 problems in chapter 7.9: Numerical Integration have been answered, more than 40720 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• 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)

• Divisor of a polynomial

See Division algorithm for polynomials.

• Half-plane

The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

• Independent variable

Variable representing the domain value of a function (usually x).

• Integers

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

• Irrational numbers

Real numbers that are not rational, p. 2.

• Left-hand limit of f at x a

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

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Permutations of n objects taken r at a time

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

• Positive linear correlation

See Linear correlation.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Root of an equation

A solution.

• 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

• Transformation

A function that maps real numbers to real numbers.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Unbounded interval

An interval that extends to -? or ? (or both).

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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