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# Solutions for Chapter 1.5: EXPONENTIAL FUNCTIONS ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 1.5: EXPONENTIAL FUNCTIONS

Solutions for Chapter 1.5
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##### ISBN: 9781118174920

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.5: EXPONENTIAL FUNCTIONS includes 41 full step-by-step solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Since 41 problems in chapter 1.5: EXPONENTIAL FUNCTIONS have been answered, more than 15708 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Angle of depression

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

• Circle

A set of points in a plane equally distant from a fixed point called the center

• Conjugate axis of a hyperbola

The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

• Distributive property

a(b + c) = ab + ac and related properties

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Lemniscate

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

• Logarithmic function with base b

The inverse of the exponential function y = bx, denoted by y = logb x

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Monomial function

A polynomial with exactly one term.

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• 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.

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• Perpendicular lines

Two lines that are at right angles to each other

• Principal nth root

If bn = a, then b is an nth root of a. If bn = a and a and b have the same sign, b is the principal nth root of a (see Radical), p. 508.

• Reflection across the y-axis

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

• Root of an equation

A solution.

• Second

Angle measure equal to 1/60 of a minute.

• Sum identity

An identity involving a trigonometric function of u + v

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