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# Solutions for Chapter 7-1: INTRODUCTION TO PERIODIC FUNCTIONS ## Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition

ISBN: 9780470484753 Solutions for Chapter 7-1: INTRODUCTION TO PERIODIC FUNCTIONS

Solutions for Chapter 7-1
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##### ISBN: 9780470484753

This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. Since 29 problems in chapter 7-1: INTRODUCTION TO PERIODIC FUNCTIONS have been answered, more than 18583 students have viewed full step-by-step solutions from this chapter. Chapter 7-1: INTRODUCTION TO PERIODIC FUNCTIONS includes 29 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Constraints

See Linear programming problem.

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• First octant

The points (x, y, z) in space with x > 0 y > 0, and z > 0.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Graphical model

A visible representation of a numerical or algebraic model.

• 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

• Independent variable

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

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Length of a vector

See Magnitude of a vector.

• Linear combination of vectors u and v

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

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Quartic regression

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

• 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

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Solve by substitution

Method for solving systems of linear equations.

• Term of a polynomial (function)

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

• Triangular number

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

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