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# Solutions for Chapter 3.2: Rolles Theorem and the Mean Value Theorem ## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981 Solutions for Chapter 3.2: Rolles Theorem and the Mean Value Theorem

Solutions for Chapter 3.2
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##### ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.2: Rolles Theorem and the Mean Value Theorem includes 85 full step-by-step solutions. Since 85 problems in chapter 3.2: Rolles Theorem and the Mean Value Theorem have been answered, more than 71156 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981.

Key Calculus Terms and definitions covered in this textbook
• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Finite sequence

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

• Index

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Lower bound for real zeros

A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

• Multiplicative inverse of a matrix

See Inverse of a matrix

• nth power of a

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

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• One-to-one rule of exponents

x = y if and only if bx = by.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Statute mile

5280 feet.

A graph in which (x, -y) is on the graph whenever (x, y) is; or a graph in which (r, -?) or (-r, ?, -?) is on the graph whenever (r, ?) is

• System

A set of equations or inequalities.

• Trichotomy property

For real numbers a and b, exactly one of the following is true: a < b, a = b , or a > b.

• Vertex of an angle

See Angle.

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