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# Solutions for Chapter 1.5: Inverse Functions

## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245

Solutions for Chapter 1.5: Inverse Functions

Solutions for Chapter 1.5
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##### ISBN: 9780618606245

Chapter 1.5: Inverse Functions includes 155 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This expansive textbook survival guide covers the following chapters and their solutions. Since 155 problems in chapter 1.5: Inverse Functions have been answered, more than 41562 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Arctangent function

See Inverse tangent function.

• Circle

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

• Commutative properties

a + b = b + a ab = ba

• Complex fraction

See Compound fraction.

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Data

Facts collected for statistical purposes (singular form is datum)

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• Empty set

A set with no elements

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Feasible points

Points that satisfy the constraints in a linear programming problem.

• Finite series

Sum of a finite number of terms.

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Linear function

A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

• Newton’s law of cooling

T1t2 = Tm + 1T0 - Tm2e-kt

• Reflection across the x-axis

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

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Vertical translation

A shift of a graph up or down.

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