Verify Rolles Theorem for the given interval by checking (a) = (b) and then finding a value
Question:
Verify Rolle’s Theorem for the given interval by checking ƒ(a) = ƒ(b) and then finding a value c in (a, b) such that ƒ'(c) = 0.
Transcribed Image Text:
THEOREM 4 Rolle's Theorem Assume that f is continuous on [a, b] and differen- tiable on (a, b). If f(a) = f(b), then there exists a number c between a and b such that f'(c) = 0.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
Because f is continuous on differ...View the full answer
Answered By
Jayakrishnan Mohan
I am an electrical engineer by profession, I have been working in the field of high voltage electrical engineering for more than a 3 years and have been doing research in various aspects of high voltage engineering including polymeric materials and discharge phenomenon. Along the way, I have published 5 research papers in various international conferences including IEEE and Cigre sponsored conferences. I have also been tutoring students and enthusiasts all over the world in various aspects of electrical engineering and MATLAB. In MATLAB I have expertise in Signal Processing Toolbox, Wavelet Toolbox, FFT, Filter Designing and Noise Reduction.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Barriers to entry do not occur when: A. The government requires a professional license or franchise agreement. B. Diseconomies of scale in production exist in an industry. C. The firm that introduces...
-
Let V be a finite-dimensional inner product space with orthonormal basis {e.e.....en). (a) For any x V show that x = (x,e) e + (x, e) e+ + (x.e) e. (b) For any x, y = V show that (x, y) = (x.es)...
-
Verify Rolles Theorem for the given interval by checking (a) = (b) and then finding a value c in (a, b) such that '(c) = 0. THEOREM 4 Rolle's Theorem Assume that f is continuous on [a, b] and...
-
ABC Corporation earned $300,000 in profit in the current tax year, which is significantly higher than its previous year's earnings. Thus, its shareholders expected large dividends in the current...
-
Portions of the salaries expense account of a business are shown below. a. Indicate the nature of the entry (payment, adjusting, closing, reversing) from which each numbered posting was made. b....
-
A 1500-kg automobile uses its drag-area, CDA = 0.4 m2, plus brakes and a parachute, to slow down from 50 m/s. Its brakes apply 5000 N of resistance. Assume sea level standard air. If the automobile...
-
Unless otherwise specified, which rule will always be processed?
-
Sports, Inc., is a nationwide distributor of sporting equipment. The corporate president, Wesley Coldwell, is dissatisfied with corporate operating results, particularly those of the Spring Branch,...
-
2. A plain concrete cylinder with dimensions of 12" height and 6" diameter is tested using spilt tension test. The failure load was measured to be 70 kN. What is the indirect tensile strength of...
-
Verify that under the assumptions of normal multiple regression analysis (a) The maximum likelihood estimates of the β s equal the corresponding least squares estimates; (b) The maximum...
-
Verify Rolles Theorem for the given interval by checking (a) = (b) and then finding a value c in (a, b) such that '(c) = 0. THEOREM 4 Rolle's Theorem Assume that f is continuous on [a, b] and...
-
Find the critical points and the extreme values on [0, 4]. In Exercises 59 and 60, refer to Figure 21. y = | cos x| 30 20 10 -6 2 y = |x2 + 4x-12| -FIN y = \cos x| 2 2 X
-
Genetic linkage studies can usually only roughly locate the chromosomal position of a "disease" gene. How can expression analysis and DNA sequence analysis help locate a disease gene within the...
-
Sheridan, Inc., paid a dividend of $4.27 last year. The company's management does not expect to increase its dividend in the foreseeable future. If the required rate of return is 12.5 percent, what...
-
A) Explain briefly the following three in Project Communications Management Processes Planning communications management Managing communications Controlling communications B)What is the formula to...
-
The grade for this assignment incorporates both the actual presentation of your introduction speech video and outline grade. Your Week 2 Written Assignment is to provide the OUTLINE for your...
-
Consider the different project management job categories in project management. Which categories interest you most? Why? I choose Healthcare and IT based on background skills but unable to give a...
-
An investor writes five naked put option contracts on a stock. The option price is $8, the strike price is $35, and the stock price is $38. What is the margin requirement for the options
-
The financial statements at the end of Paradise Realty's first month of operations are shown below. PARADISE REALTY Statement of Cash Flows For the Month Ended November 30, 20Y3 Instructions 1. Would...
-
Sandcastles, Inc.s management has recently been looking at a proposal to purchase a new brick molding machine. With the new machine, the company would not have to buy bricks. The estimated useful...
-
The phase line in Exercise 12. From the given phase-line diagram, sketch a possible graph of the rate of change of x as a function of x. start here x=2 x=4 x=8
-
Graph the rate of change as a function of the state variable and draw the phase-line diagram for the following differential equations. Graph for -2 x 2. 1 dt
-
Graph the rate of change as a function of the state variable and draw the phase-line diagram for the following differential equations. Graph for -2 x 2. dx dr = 1-er
-
You are setting up a small network with 6 workstations and 1 server for a company that is growing and concerned about security. You have decided to create a domain for this company. Is a domain a...
-
1. The clear majority of compute nodes in modern enterprise environments are networked. Can you think of any circumstances where a compute node would NOT be networked? Describe. 2. Many commercial...
-
A Class B address is assigned the subnet mask of 255.255.240.0. How many subnets are possible? Question 14 To provide more subnets, a Class B address is assigned the subnet mask of 255.255.240.0. How...
Study smarter with the SolutionInn App