 4.6.1: Explain Rolles Theorem with a sketch.
 4.6.2: Draw the graph of a function for which the conclusion of Rolles The...
 4.6.3: Explain why Rolles Theorem cannot be applied to the function f 1x2 ...
 4.6.4: Explain the Mean Value Theorem with a sketch.
 4.6.5: Draw the graph of a function for which the conclusion of the Mean V...
 4.6.6: At what points c does the conclusion of the Mean Value Theorem hold...
 4.6.7: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.8: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.9: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.10: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.11: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.12: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.13: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.14: 714. Rolles Theorem Determine whether Rolles Theorem applies to the...
 4.6.15: Lapse rates in the atmosphere Concurrent measurements indicate that...
 4.6.16: Drag racer acceleration The fastest drag racers can reach a speed o...
 4.6.17: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.18: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.19: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.20: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.21: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.22: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.23: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.24: 1724. Mean Value Theorem a. Determine whether the Mean Value Theore...
 4.6.25: Explain why or why not Determine whether the following statements a...
 4.6.26: 2628. Questions about derivatives Without evaluating derivatives, w...
 4.6.27: 2628. Questions about derivatives Without evaluating derivatives, w...
 4.6.28: 2628. Questions about derivatives Find all functions f whose deriva...
 4.6.29: Mean Value Theorem and graphs By visual inspection, locate all poin...
 4.6.30: 3031. Mean Value Theorem and graphs Find all points on the interval...
 4.6.31: 3031. Mean Value Theorem and graphs Find all points on the interval...
 4.6.32: Avalanche forecasting Avalanche forecasters measure the temperature...
 4.6.33: Mean Value Theorem and the police A state patrol officer saw a car ...
 4.6.34: Mean Value Theorem and the police again Compare carefully to Exerci...
 4.6.35: Running pace Explain why if a runner completes a 6.2mi (10km) rac...
 4.6.36: Mean Value Theorem for linear functions Interpret the Mean Value Th...
 4.6.37: Mean Value Theorem for quadratic functions Consider the quadratic f...
 4.6.38: Means a. Show that the point c guaranteed to exist by the Mean Valu...
 4.6.39: Equal derivatives Verify that the functions f 1x2 = tan2 x and g1x2...
 4.6.40: Equal derivatives Verify that the functions f 1x2 = sin2 x and g1x2...
 4.6.41: 100m speed The Jamaican sprinter Usain Bolt set a world record of ...
 4.6.42: Condition for nondifferentiability Suppose f _1x2 6 0 6 f _1x2, for...
 4.6.43: Generalized Mean Value Theorem Suppose the functions f and g are co...
Solutions for Chapter 4.6: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 4.6
Get Full SolutionsCalculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Chapter 4.6 includes 43 full stepbystep solutions. Since 43 problems in chapter 4.6 have been answered, more than 54414 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Branches
The two separate curves that make up a hyperbola

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Focus, foci
See Ellipse, Hyperbola, Parabola.

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

Horizontal line
y = b.

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

Intercepted arc
Arc of a circle between the initial side and terminal side of a central angle.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Range of a function
The set of all output values corresponding to elements in the domain.

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Slopeintercept form (of a line)
y = mx + b

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

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

Unit circle
A circle with radius 1 centered at the origin.

Venn diagram
A visualization of the relationships among events within a sample space.