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# Solutions for Chapter 1.2: LINEAR FUNCTIONS ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 1.2: LINEAR FUNCTIONS

Solutions for Chapter 1.2
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##### ISBN: 9781118174920

Chapter 1.2: LINEAR FUNCTIONS includes 34 full step-by-step solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Since 34 problems in chapter 1.2: LINEAR FUNCTIONS have been answered, more than 20915 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Arccotangent function

See Inverse cotangent function.

• artesian coordinate system

An association between the points in a plane and ordered pairs of real numbers; or an association between the points in three-dimensional space and ordered triples of real numbers

• Common difference

See Arithmetic sequence.

• Constant of variation

See Power function.

• Coordinate plane

See Cartesian coordinate system.

• 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>

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• equation of an ellipse

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

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Inequality

A statement that compares two quantities using an inequality symbol

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Mean (of a set of data)

The sum of all the data divided by the total number of items

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Scalar

A real number.

• Summation notation

The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

• Vertical translation

A shift of a graph up or down.

• Xmin

The x-value of the left side of the viewing window,.

• yz-plane

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

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