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Get Full Access to Calculus and Pre Calculus - Textbook Survival Guide
Get Full Access to Calculus and Pre Calculus - Textbook Survival Guide
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# Solutions for Chapter 4: Functions Modeling Change: A Preparation for Calculus 5th Edition

## Full solutions for Functions Modeling Change: A Preparation for Calculus | 5th Edition

ISBN: 9781118583197

Solutions for Chapter 4

Solutions for Chapter 4
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##### ISBN: 9781118583197

This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus, edition: 5. Since 364 problems in chapter 4 have been answered, more than 20808 students have viewed full step-by-step solutions from this chapter. Chapter 4 includes 364 full step-by-step solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9781118583197. This expansive textbook survival guide covers the following chapters and their solutions.

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

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Implied domain

The domain of a function’s algebraic expression.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• Normal distribution

A distribution of data shaped like the normal curve.

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• Permutations of n objects taken r at a time

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

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Rectangular coordinate system

See Cartesian coordinate system.

• Sine

The function y = sin x.

• Slope

Ratio change in y/change in x

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• yz-plane

The points (0, y, z) in Cartesian space.

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