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# Solutions for Chapter 7.6: Definite Integrals ## Full solutions for Calculus: Early Transcendentals | 1st Edition

ISBN: 9780321570567 Solutions for Chapter 7.6: Definite Integrals

Solutions for Chapter 7.6
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##### ISBN: 9780321570567

Summary of Chapter 7.6: Definite Integrals

With definite integrals, the approximations given by Riemann sums become exact.

Since 61 problems in chapter 7.6: Definite Integrals have been answered, more than 412301 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 7.6: Definite Integrals includes 61 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Annual percentage rate (APR)

The annual interest rate

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Event

A subset of a sample space.

• Inequality

A statement that compares two quantities using an inequality symbol

• Irrational numbers

Real numbers that are not rational, p. 2.

• Logarithmic regression

See Natural logarithmic regression

• Monomial function

A polynomial with exactly one term.

• Permutations of n objects taken r at a time

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

• Pole

See Polar coordinate system.

• Positive angle

Angle generated by a counterclockwise rotation.

• 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.

• Remainder polynomial

See Division algorithm for polynomials.

• Slant asymptote

An end behavior asymptote that is a slant line

• Standard deviation

A measure of how a data set is spread

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Sum of an infinite geometric series

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