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# Solutions for Chapter 3.10: THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS

## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 3.10: THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS

Solutions for Chapter 3.10
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##### ISBN: 9780470888612

Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Chapter 3.10: THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS includes 41 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 41 problems in chapter 3.10: THEOREMS ABOUT DIFFERENTIABLE FUNCTIONS have been answered, more than 43161 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Angle of depression

The acute angle formed by the line of sight (downward) and the horizontal

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Frequency table (in statistics)

A table showing frequencies.

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Independent events

Events A and B such that P(A and B) = P(A)P(B)

• 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 equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• 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

• Magnitude of a real number

See Absolute value of a real number

• Major axis

The line segment through the foci of an ellipse with endpoints on the ellipse

• Multiplicity

The multiplicity of a zero c of a polynomial ƒ(x) of degree n > 0 is the number of times the factor (x - c) (x - z 2) Á (x - z n)

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Secant

The function y = sec x.

• Vertex of a cone

See Right circular cone.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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