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# Solutions for Chapter 4: Products, Quotients, and Parametric Functions ## Full solutions for Calculus: Concepts and Applications | 2nd Edition

ISBN: 9781559536547 Solutions for Chapter 4: Products, Quotients, and Parametric Functions

Solutions for Chapter 4
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##### ISBN: 9781559536547

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4: Products, Quotients, and Parametric Functions includes 24 full step-by-step solutions. Calculus: Concepts and Applications was written by and is associated to the ISBN: 9781559536547. This textbook survival guide was created for the textbook: Calculus: Concepts and Applications, edition: 2. Since 24 problems in chapter 4: Products, Quotients, and Parametric Functions have been answered, more than 21434 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Acute triangle

A triangle in which all angles measure less than 90°

• Center

The central point in a circle, ellipse, hyperbola, or sphere

• Closed interval

An interval that includes its endpoints

• Commutative properties

a + b = b + a ab = ba

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Dependent variable

Variable representing the range value of a function (usually y)

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Irreducible quadratic over the reals

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

• Law of sines

sin A a = sin B b = sin C c

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Probability distribution

The collection of probabilities of outcomes in a sample space assigned by a probability function.

• Quartic function

A degree 4 polynomial function.

• Standard deviation

A measure of how a data set is spread

• Stemplot (or stem-and-leaf plot)

An arrangement of a numerical data set into a specific tabular format.

• Vertical stretch or shrink

See Stretch, Shrink.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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