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# Solutions for Chapter 1.6: THE NATURAL LOGARITHM ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 1.6: THE NATURAL LOGARITHM

Solutions for Chapter 1.6
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##### ISBN: 9781118174920

Applied Calculus was written by and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 1.6: THE NATURAL LOGARITHM have been answered, more than 15779 students have viewed full step-by-step solutions from this chapter. Chapter 1.6: THE NATURAL LOGARITHM includes 48 full step-by-step solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook

If u < v , then u + w < v + w

• Additive identity for the complex numbers

0 + 0i is the complex number zero

• Arctangent function

See Inverse tangent function.

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Conversion factor

A ratio equal to 1, used for unit conversion

• Horizontal line

y = b.

• Identity

An equation that is always true throughout its domain.

• Imaginary unit

The complex number.

• Implied domain

The domain of a function’s algebraic expression.

• Inverse sine function

The function y = sin-1 x

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Polar axis

See Polar coordinate system.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

• Right triangle

A triangle with a 90° angle.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• 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>

• Third quartile

See Quartile.

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Zero matrix

A matrix consisting entirely of zeros.

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