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# Solutions for Chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE

## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE

Solutions for Chapter 3.9
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##### ISBN: 9780470888612

Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This expansive textbook survival guide covers the following chapters and their solutions. Since 50 problems in chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE have been answered, more than 42389 students have viewed full step-by-step solutions from this chapter. Chapter 3.9: LINEAR APPROXIMATION AND THE DERIVATIVE includes 50 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
• 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

• Combinations of n objects taken r at a time

There are nCr = n! r!1n - r2! such combinations,

• Compounded monthly

See Compounded k times per year.

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Data

Facts collected for statistical purposes (singular form is datum)

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• DMS measure

The measure of an angle in degrees, minutes, and seconds

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Identity function

The function ƒ(x) = x.

• Imaginary axis

See Complex plane.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Real number line

A horizontal line that represents the set of real numbers.

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Subtraction

a - b = a + (-b)

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