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# Solutions for Chapter 4.6: Exponential Growth and Decay

## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197

Solutions for Chapter 4.6: Exponential Growth and Decay

Solutions for Chapter 4.6
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##### ISBN: 9780618547197

Since 48 problems in chapter 4.6: Exponential Growth and Decay have been answered, more than 22902 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.6: Exponential Growth and Decay includes 48 full step-by-step solutions. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197.

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

See Inverse sine function.

• Components of a vector

See Component form of a vector.

• Compounded annually

See Compounded k times per year.

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Damping factor

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

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Exponent

See nth power of a.

• Graph of parametric equations

The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Linear function

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

• Matrix element

Any of the real numbers in a matrix

• Objective function

See Linear programming problem.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Right triangle

A triangle with a 90° angle.

• Standard representation of a vector

A representative arrow with its initial point at the origin

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