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: 66% (6 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...
-
Imagine pushing against a brick wall as shown in Figure 9.1a. (Assume the wall is undeformable-a fair assumption at macroscopic scales.) (a) Considering the wall as the system, is the force you exert...
-
Describe the categories of intentional torts. What is the difference between assault and battery? What is defamation of character? What two forms can it take? Under what circumstances can a...
-
The Graham Telephone Company may invest in new switching equipment. There are three possible outcomes, having net present worth of $6570, $8590, and $9730. The probability of each outcome is 0.3,...
-
Select each quadratic equation in x with no solutions. (x+3) = 0 x+x+3=0 x-x+3=0 x = 0 x - 3 = 0 x+3=0 (x-3) = 0
-
CPS, a supplier of commercial printing equipment, is insured under a commercial package policy that includes the business Auto Coverage Form (BACF). No endorsements that would modify the BACF are...
-
(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...
-
Given that /1 - x + b/1 + 2x -3 + 12x for small values of x, find the value of a and the value of b.
-
Is Fairmont in compliance with its payroll rates schedule: $65, $80, $100, and $125?
-
The volume of solids in a sediment sample is 975 cm 3 , and the volume of open space is 325 cm 3 . What is the porosity of the sediment? Describe what the result of your calculation means in physical...
-
Earths mineral resources are plentiful, but once extracted and used, they do not renew in a human lifetime. What are some possible environmental problems associated with the extraction of minerals?
-
Simulate motion along a transform fault with your hands. Press your palms together and move your hands in opposite directions, as shown in the figure. Notice that friction keeps them locked together...
-
Do the payroll disbursement hours comply with Benfords Law?
-
When 2 mol of potassium chlorate crystals decompose to potassium chloride crystals and oxygen gas at constant temperature and pressure, 78.0 kJ of heat is given off. Write a thermochemical equation...
-
In the operation of an automated production line with storage buffers, what does it mean if a buffer is nearly always empty or nearly always full?
-
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
-
Mason (single) is a 50 percent shareholder in Angels Corporation (an S Corporation). Mason receives a $188,000 salary working full time for Angels Corporation. Angels Corporation reported $432,000 of...
-
Mean Beans, a local coffee shop, has the following assets on January 1, 2023. Mean Beans prepares annual financial statements and has a December 31, 2023 year-end. The company's depreciation policy...
-
Accrued vacation pay A business provides its employees with varying amounts of vacation per year, depending on the length of employment. The estimated amount of the current year's vacation pay is...
Study smarter with the SolutionInn App