×
×

# Solutions for Chapter 4.8: ROLLES THEOREM; MEAN-VALUE THEOREM

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 4.8: ROLLES THEOREM; MEAN-VALUE THEOREM

Solutions for Chapter 4.8
4 5 0 268 Reviews
13
4
##### ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 4.8: ROLLES THEOREM; MEAN-VALUE THEOREM includes 45 full step-by-step solutions. Since 45 problems in chapter 4.8: ROLLES THEOREM; MEAN-VALUE THEOREM have been answered, more than 39729 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10.

Key Calculus Terms and definitions covered in this textbook
• Deductive reasoning

The process of utilizing general information to prove a specific hypothesis

• Equivalent systems of equations

Systems of equations that have the same solution.

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Infinite limit

A special case of a limit that does not exist.

• Initial value of a function

ƒ 0.

• Inverse cosecant function

The function y = csc-1 x

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Minor axis

The perpendicular bisector of the major axis 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)

• Odd-even identity

For a basic trigonometric function f, an identity relating f(x) to f(-x).

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Polar equation

An equation in r and ?.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Transverse axis

The line segment whose endpoints are the vertices of a hyperbola.

×