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# Solutions for Chapter 5.4: Exponential Functions: Differentiation and Integration

## Full solutions for Calculus of A Single Variable | 7th Edition

ISBN: 9780618149162

Solutions for Chapter 5.4: Exponential Functions: Differentiation and Integration

Solutions for Chapter 5.4
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##### ISBN: 9780618149162

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7. Chapter 5.4: Exponential Functions: Differentiation and Integration includes 131 full step-by-step solutions. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Since 131 problems in chapter 5.4: Exponential Functions: Differentiation and Integration have been answered, more than 25431 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Average velocity

The change in position divided by the change in time.

• Branches

The two separate curves that make up a hyperbola

• Coefficient

The real number multiplied by the variable(s) in a polynomial term

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Implied domain

The domain of a function’s algebraic expression.

• Inductive step

See Mathematical induction.

• Irreducible quadratic over the reals

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

• Lower bound of f

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

• Measure of center

A measure of the typical, middle, or average value for a data set

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Polar axis

See Polar coordinate system.

• Polar equation

An equation in r and ?.

• Positive angle

Angle generated by a counterclockwise rotation.

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

• Wrapping function

The function that associates points on the unit circle with points on the real number line

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