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# Solutions for Chapter 1.1: WHAT IS A FUNCTION?

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 1.1: WHAT IS A FUNCTION?

Solutions for Chapter 1.1
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##### ISBN: 9781118174920

Chapter 1.1: WHAT IS A FUNCTION? includes 38 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 38 problems in chapter 1.1: WHAT IS A FUNCTION? have been answered, more than 15537 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Bounded below

A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Directrix of a parabola, ellipse, or hyperbola

A line used to determine the conic

• Divergence

A sequence or series diverges if it does not converge

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Double-blind experiment

A blind experiment in which the researcher gathering data from the subjects is not told which subjects have received which treatment

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Event

A subset of a sample space.

• Expanded form of a series

A series written explicitly as a sum of terms (not in summation notation).

• First octant

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

• Focal width of a parabola

The length of the chord through the focus and perpendicular to the axis.

• Grapher or graphing utility

Graphing calculator or a computer with graphing software.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Polar axis

See Polar coordinate system.

• Polynomial interpolation

The process of fitting a polynomial of degree n to (n + 1) points.

• Product of matrices A and B

The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

• Root of an equation

A solution.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

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