Question: Given the function f(x)=3, decide whether we can use the mean value theorem for derivatives on [4,6]. If so, find the number c guaranteed

Given the function f(x)=3, decide whether we can use the mean value

Given the function f(x)=3, decide whether we can use the mean value theorem for derivatives on [4,6]. If so, find the number c guaranteed by the mean value theorem. If not, explain why? [4 Marks]

Step by Step Solution

★★★★★

3.45 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detailed ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...

Integration is not needed. a. Find the average value of f shown in the figure on the interval [1, 6] and then find the point(s) c in (1, 6) guaranteed to exist by the Mean Value Theorem for...

Mean Value Theorem for Several Variables If f is differentiable at each point of the line segment from a to b, then there exists on that line segment a point c between a and b such that ((b) - ((a) =...

In Exercises sketch the graph of an arbitrary function that satisfies the given condition but does not satisfy the conditions of the Mean Value Theorem on the interval [-5, 5]. is not continuous on...

Kroger Co., Albertsons Inc., and Safeway Inc. are the three largest grocery chains in the United States. Inventory management is an important aspect of the grocery retail business. Recent balance...

In Exercises verify the solution of the differential equation. Solution y = e-2r Differential Equation 3y + 5y = -e-2x

How do the assumptions required of a multiple regression model and a simple linear regression model differ?

The following is an excerpt (with dates changed) from Against the Grain, a series of recommendations by the State Comptroller of Texas as to how to save $4.5 billion and thereby balance the states...

examining the license - renewal process, he identified those steps and associated times required to perform each step, as shown in the following table: demand of processing 1 2 0 renewal applicants...

Imogen runs the Manor Park Hotel in Powys, Wales. She purchased the 50-bedroom hotel 10 years ago. She is wondering if the business is trading as well as it could be and would like a report stating...

Blossom Company provides the following selected information related to its defined benefit pension plan for 2020. Pension asset/liability (January 1) Accumulated benefit obligation (December 31)...

Shares in the Canadian maker of BlackBerry smart phones peaked in August 2007, at two hundred and thirty six dollars. In retrospect, the company was facing an inflection point and was completely...

5. (18 points) Solve the following integrals: (a) (4 points) | [+1 + (1.43) 50 + (r)] +=(1.43) - 50+ sec(x) dr. 2 (b) (4 points) (23 2w-cos(w)+ 3 w2 + 1 ) dw. (c) (5 points) [9t(1 + 1)- dt. (d) (5...

a) Give an example of a discrete random variable and report its domain. b) Give an example of a continuous random variable and report its domain. c) How many X values can your random variable example...

? Learn By Doing Adult male height (X) follows (approximately) a normal distribution with a mean of 69 inches and a standard deviation of 2.8 inches. a. What proportion of males are less than 65...

Under the Age Discrimination in Employment Act, how long must employers maintain specific information ( name , address, date of birth, occupation, rate of pay ) for each employee and applicant?

Case 5 - Using the simple interest method, find the monthly payments on a $7,500 installment loan if the funds are borrowed for 36 months at an annual interest rate of 10 percent. How much interest...

Multiple Choice Questions: 1. The largest component of aggregate demand is? a. Government purchases. b. Net exports. c. Consumption. d. Investment. 2. A reduction in personal income taxes, other...

Use the result of Problem 15 to verify the formula for the volume of a right circular cylinder of height h and radius a?

Water is pumped at a uniform rate of 2 liters (1 liter = 1000 cubic centimeters) per minute into a tank shaped like a frustum of a right circular cone. The tank has altitude 80 centimeters and lower...

What condition on a, b, and c will make f(x) = ax3 + bx2 + cx + d always increasing?

=+1. General-purpose resistors are color-coded with a sequence of four rings that identify the nominal value of the resistance (in ohms) and the plus and minus tolerance (expressed as a percentage of...

39. Consider a bookbag filled with 100 poker chips. You know that either 70 of the chips are red and the remainder blue, or that 70 are blue and the remainder red. You must guess whether the bookbag...

42. Suppose that the payoff functions of two actions are P (oi, y) = 50 + .5y and P(a2, y) = 70 .5/x, where y is the mean of a normal process with variance 1200. (a) Find the breakeven value, /i&....