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# Solutions for Chapter 3.3: THE PRODUCT AND QUOTIENT RULES ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 3.3: THE PRODUCT AND QUOTIENT RULES

Solutions for Chapter 3.3
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##### ISBN: 9780470888612

This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Chapter 3.3: THE PRODUCT AND QUOTIENT RULES includes 74 full step-by-step solutions. Since 74 problems in chapter 3.3: THE PRODUCT AND QUOTIENT RULES have been answered, more than 44947 students have viewed full step-by-step solutions from this chapter. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This expansive textbook survival guide covers the following chapters and their solutions.

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

• Cardioid

A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Division

a b = aa 1 b b, b Z 0

• Divisor of a polynomial

See Division algorithm for polynomials.

• Elements of a matrix

See Matrix element.

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Limit to growth

See Logistic growth function.

• Linear inequality in x

An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

• Open interval

An interval that does not include its endpoints.

• Parametric curve

The graph of parametric equations.

• Partial sums

See Sequence of partial sums.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Sequence

See Finite sequence, Infinite sequence.

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

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