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# Solutions for Chapter 4.3: OPTIMIZATION AND MODELING

## Full solutions for Calculus: Single Variable | 6th Edition

ISBN: 9780470888643

Solutions for Chapter 4.3: OPTIMIZATION AND MODELING

Solutions for Chapter 4.3
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##### ISBN: 9780470888643

This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. Since 60 problems in chapter 4.3: OPTIMIZATION AND MODELING have been answered, more than 33368 students have viewed full step-by-step solutions from this chapter. Chapter 4.3: OPTIMIZATION AND MODELING includes 60 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Conditional probability

The probability of an event A given that an event B has already occurred

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Dependent event

An event whose probability depends on another event already occurring

• Direct variation

See Power function.

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• equation of a parabola

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

• Frequency table (in statistics)

A table showing frequencies.

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Number line graph of a linear inequality

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

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Positive angle

Angle generated by a counterclockwise rotation.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Subtraction

a - b = a + (-b)

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• y-intercept

A point that lies on both the graph and the y-axis.

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