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# Solutions for Chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Solutions for Chapter 3.2
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##### ISBN: 9781118174920

This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS includes 55 full step-by-step solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 55 problems in chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS have been answered, more than 35176 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Algebraic model

An equation that relates variable quantities associated with phenomena being studied

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Constant

A letter or symbol that stands for a specific number,

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• equation of a hyperbola

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

• Function

A relation that associates each value in the domain with exactly one value in the range.

• Imaginary part of a complex number

See Complex number.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Line graph

A graph of data in which consecutive data points are connected by line segments

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Solve an equation or inequality

To find all solutions of the equation or inequality

• Symmetric property of equality

If a = b, then b = a

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

• z-axis

Usually the third dimension in Cartesian space.

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