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# Solutions for Chapter 4.5: APPLIED MAXIMUM AND MIMIMUM PROBLEMS ## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691 Solutions for Chapter 4.5: APPLIED MAXIMUM AND MIMIMUM PROBLEMS

Solutions for Chapter 4.5
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##### ISBN: 9780470647691

Since 69 problems in chapter 4.5: APPLIED MAXIMUM AND MIMIMUM PROBLEMS have been answered, more than 40309 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4.5: APPLIED MAXIMUM AND MIMIMUM PROBLEMS includes 69 full step-by-step solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691.

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

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Amplitude

See Sinusoid.

• Coefficient

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

• 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

• Degree of a polynomial (function)

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

• Directed line segment

See Arrow.

• Half-life

The amount of time required for half of a radioactive substance to decay.

• Horizontal shrink or stretch

See Shrink, stretch.

• Initial point

See Arrow.

• Law of sines

sin A a = sin B b = sin C c

• Linear function

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

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Median (of a data set)

The middle number (or the mean of the two middle numbers) if the data are listed in order.

• Number line graph of a linear inequality

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

• 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.

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Vertical stretch or shrink

See Stretch, Shrink.

• Whole numbers

The numbers 0, 1, 2, 3, ... .

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