Suppose that (a) = (b) = g(a) = g(b) = 0 and the second derivatives of
Question:
Suppose that ƒ(a) = ƒ(b) = g(a) = g(b) = 0 and the second derivatives of ƒ and g are continuous on the closed interval [a, b]. Prove that
Transcribed Image Text:
b b [*f(x) g(x) dx = [*1*(x)g(x) dx. f(x)g"(x) a a
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
By Parts xgx dx xgx ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Proof (a) Let 1 (x) and 2 (x) be continuous on the closed interval [a, b]. If 1 (a) < 2 (a) and 1 (b) > 2 (b), prove that there exists c between a and b such that 1 (c) = 2 (c). (b) Show that...
-
Suppose that a B + - tree index on branch-city is available on relation branch, and that no other index is available. List different ways to handle the following selections that involve negation? a. ...
-
Suppose is a continuous function defined on a closed interval [a, b]. (a) What theorem guarantees the existence of an absolute maximum value and an absolute minimum value for f? (b) What steps would...
-
Explain why merchants accepted gold receipts as a means of payment even though the receipts were issued by gold-smiths, not the government. What risk did goldsmiths introduce into the payments system...
-
Suppose the current exchange rate between Germany and Japan is 0.02 =C/. The euro-denominated annual continuously compounded risk-free rate is 4% and the yen-denominated annual continuously...
-
1. What do you recommend that leadership at Luxury Design do to facilitate having a disrupter within the company? 2. What thought should Arianna and the other members of the leadership team at Luxury...
-
To determine the effect of height on power generated in a hydroelectric power plant, the following observations were made:. Use the level of significance \(\alpha=0.05\) to test whether the height of...
-
Use the data provided in Pl2-7. Assume instead that Meridan Golf and Sports is a public company. The relevant information for the impairment test on December 31, 2016, is as follows: In exercsie...
-
2. Set up the following equations in the computer form: a. x+y=2+y-z 3z-1 b. 2xzy+x+ 4(3z+1)-y C. x = (y + z)
-
1. Given the information provided by the financial statements, what would you tell Mary Abrahams? (As part of your answer, calculate the firm's cash flows.) 2. How would you describe the cash flow...
-
(a) Use the substitution = /2 - x to evaluate the integral (b) Let n be a positive integer. Evaluate the integral /2 0 sin x cos x + sin x dx.
-
Use the result of Exercise 14 to find the partial fraction decomposition of Data from in Exercise 14 Suppose the denominator of a rational function can be factored into distinct linear factors for a...
-
Identify two key management responsibilities in implementing information systems.
-
What is a glycosidic linkage? What is the difference between alpha and beta glucose? Where do glyosidic linkages form? What is the difference between an alpha and a beta glyosidic linkage?
-
The Sweetwater Candy Company would like to buy a new machine that would automatically dip" chocolates. The dipping operation currently is done largely by hand. The machine the company is considering...
-
An art collector purchases a painting for $10,000. If the painting is expected to appreciate at an annual rate of 8%, what will be its estimated value in 10 years?
-
For the problem min, || Ax - bl, we have that the SVD of A is such that 1 2 1 0.5 0.3 If x has dimension 3 and A has full column rank, find the minimum error norm. A = USVT,UTb =
-
You are watching a production, one performer is overacting badly, to the point that he or she is quite unbelievable. Another performer is listless and has no energy. In each case, to what extent do...
-
Fore! is a seller of golf balls that wants to increase its revenues by offering a quantity discount. For simplicity, assume that the firm sells to only one customer and that the demand for Fore!'s...
-
The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in. that can be cut from the sphere if the pyramid is (a) square, (b) pentagonal, (c) hexagonal, and (d)...
-
In problem, determine whether each relation represents a function. For each function, state the domain and range. {(-2, 4), (-2, 6), (0, 3), (3, 7)}
-
In problem, determine whether each relation represents a function. For each function, state the domain and range. {(-4, 4), (-3, 3), (-2, 2), (3, 3)}
-
In problem, find an equation of the line L. L is perpendicular to y = 2x (1, 2) -1 - 2xF 3
-
A software development project team is finishing its daily standup meeting. Before the meeting adjourns, Jasper reminds the group of the user stories they have completed so far. What role is Jasper...
-
Teleamazonas has 100 employees. Fifty-seven of them are television production workers and presenters, 40 are brand supervisors and content creators on social networks, 2 secretaries and the president...
-
You are presenting a proposal to a customer today, and decided to wear a coordinated jacket and skirt, with conservative shoes, creating an overall feel that is slightly less conservative but still...
Study smarter with the SolutionInn App