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# Solutions for Chapter 13.1: University Calculus: Early Transcendentals 2nd Edition

## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399

Solutions for Chapter 13.1

Solutions for Chapter 13.1
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##### ISBN: 9780321717399

Chapter 13.1 includes 80 full step-by-step solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 80 problems in chapter 13.1 have been answered, more than 57666 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Average velocity

The change in position divided by the change in time.

• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Empty set

A set with no elements

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Inverse sine function

The function y = sin-1 x

• Logarithmic re-expression of data

Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Vertical asymptote

The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a- ƒ1x2 = q.

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