 3.10.1: In Exercises 15, decide if the statements are true or false.Give an...
 3.10.2: In Exercises 15, decide if the statements are true or false.Give an...
 3.10.3: In Exercises 15, decide if the statements are true or false.Give an...
 3.10.4: In Exercises 15, decide if the statements are true or false.Give an...
 3.10.5: In Exercises 15, decide if the statements are true or false.Give an...
 3.10.6: Do the functions graphed in Exercises 69 appear to satisfythe hypot...
 3.10.7: Do the functions graphed in Exercises 69 appear to satisfythe hypot...
 3.10.8: Do the functions graphed in Exercises 69 appear to satisfythe hypot...
 3.10.9: Do the functions graphed in Exercises 69 appear to satisfythe hypot...
 3.10.10: Applying the Mean Value Theorem with a = 2, b = 7to the function in...
 3.10.11: Applying the Mean Value Theorem with a = 3, b = 13to the function i...
 3.10.12: Let p(x) = x5+8x430x3+30x231x+22. What isthe relationship between p...
 3.10.13: Let p(x) be a seventhdegree polynomial with 7 distinctzeros. How m...
 3.10.14: Use the Racetrack Principle and the fact that sin 0 = 0to show that...
 3.10.15: Use the Racetrack Principle to show that ln x x 1.
 3.10.16: Use the fact that ln x and ex are inverse functions to showthat the...
 3.10.17: State a Decreasing Function Theorem, analogous tothe Increasing Fun...
 3.10.18: Dominic drove from Phoenix to Tucson on Interstate 10,a distance of...
 3.10.19: In 1922, use one of the theorems in this section toprove the statem...
 3.10.20: In 1922, use one of the theorems in this section toprove the statem...
 3.10.21: In 1922, use one of the theorems in this section toprove the statem...
 3.10.22: In 1922, use one of the theorems in this section toprove the statem...
 3.10.23: The position of a particle on the xaxis is given by s =f(t); its i...
 3.10.24: Suppose that g and h are continuous on [a, b] and differentiableon ...
 3.10.25: Deduce the Constant Function Theorem from the IncreasingFunction Th...
 3.10.26: Prove that if f(x) = g(x) for all x in (a, b), thenthere is a const...
 3.10.27: Suppose that f(x) = f(x) for all x. Prove that f(x) =Cex for some c...
 3.10.28: Suppose that f is continuous on [a, b] and differentiableon (a, b) ...
 3.10.29: Suppose that f(x) 0 for all x in (a, b). We will showthe graph of f...
 3.10.30: In 3032, explain what is wrong with the statement.The Mean Value Th...
 3.10.31: In 3032, explain what is wrong with the statement.The following fun...
 3.10.32: In 3032, explain what is wrong with the statement.If f(x)=0 on a<x<...
 3.10.33: In 3337, give an example of:An interval where the Mean Value Theore...
 3.10.34: In 3337, give an example of:An interval where the Mean Value Theore...
 3.10.35: In 3337, give an example of:A continuous function f on the interval...
 3.10.36: In 3337, give an example of:A function f that is differentiable on ...
 3.10.37: In 3337, give an example of:A function that is differentiable on (0...
 3.10.38: Are the statements in 3841 true or false for a functionf whose doma...
 3.10.39: Are the statements in 3841 true or false for a functionf whose doma...
 3.10.40: Are the statements in 3841 true or false for a functionf whose doma...
 3.10.41: Are the statements in 3841 true or false for a functionf whose doma...
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
Get Full SolutionsCalculus: 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 stepbystep 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 stepbystep solutions from this chapter.

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,

Radicand
See Radical.

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.