If f(0) = g(0) = 0 and f'' and g'' are continuous, show that f(x)g(x) dx =
Question:
If f(0) = g(0) = 0 and f'' and g'' are continuous, show that
Transcribed Image Text:
"f(x)g"(x) dx = f(a)g'(a) – f'(a)g(a) + "(x)g(x) dx
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (14 reviews)
Suppose f0 g0 0 and let u fx dv gx dx du fx dx v gx T...View the full answer
Answered By
AJIN KURIAKOSE
I HAVE ELECTRONICS ENGINEERING DEGREE..AND MY AREA OF INTEREST IS MATHEMATICS,CONTROL SYSTEM,NETWORK,DIGITAL
4.70+
21+ Reviews
32+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove that if f (0) = g(0) and f(x) g(x) for x 0, then f (x) g(x) for all x 0.
-
Use Exercise 59 and the inequality sin x x for x 0 (established in Theorem 3 of Section 2.6) to prove the following assertions for all x 0 (each assertion follows from the previous one). (a) cos x...
-
Decide which of the following statements are true and which are false. Prove the true ones and provide counterexamples for the false ones. a) If f is continuous on [a, b] and J := f([a, b]), then J...
-
Help on this. thanks 2022SP CS234 Computer Science II 1. (Based on P6.11) A supermarket wants to reward its best customer of each day, showing the customer's name on a screen in the supermarket. For...
-
On January 1, 2013, Pitt Company sold a patent to Chatham Inc. which had a carrying value on Pitt's books of $10,000. Chatham gave Pitt a $60,000 non-interest-bearing note payable in 5 equal annual...
-
Fill in the blank with an appropriate word, phrase, or symbol(s). A sample that uses data that are easily or readily obtained is called a(n) ________ sample.
-
How Can HR Support the Development of Positive Organizational Cultures? (pp. 498502)
-
A circular loop of wire with area A lies in the xy-plane. As viewed along the z-axis looking in the - z-direction toward the origin, a current I is circulating clockwise around the loop. The torque...
-
Days' cash on hand of 52 would be considered a.adequate for most businesses. b.too high and an indication that the company is not returning profits back to owners. c.too high and an indication that...
-
One subunit of Racer Sports Company had the following financial results last month: Requirements 1. Complete the performance evaluation report for this subunit (round to two decimal places). 2. Based...
-
The Fresnel function was discussed in Example 5.3.3 and is used extensively in the theory of optics. Find S(x) dx. [Your answer will involve S(x).] S(x) = f* sin(; 11) dt
-
(a) Use integration by parts to show that (b) If f and g are inverse functions and f' is continuous, prove that (c) In the case where f and t are positive functions and b > a > 0, draw a diagram to...
-
Use the properties of logarithms to rewrite each expression. Simplify the result if possible. Assume all variables represent positive real numbers. 2V3 log2 5
-
What is the discount rate? PV = 7 0 0 ; t = 5 year period; FV = 1 0 0 0
-
How is planning illustrated in this case story? How is strategic management illustrated in this case story? The new CEO stated that the CEO's job is to give employees a point of view. Explain what...
-
Explain the Following Questions: 1. What essential characteristics exist in a proper understanding of "personal mastery," so that as an individual achieves greater progress in this discipline, they...
-
Few people want to eat discolored french fries. Potatoes are kept refrigerated before being cut for french fries to prevent spoiling and preserve flavor. But immediate processing of cold potatoes...
-
Part 3 of 4 Points: 0.49 of 1 Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X)...
-
For Exercises perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the...
-
Graph the following conic sections, labeling vertices, foci, directrices, and asymptotes (if they exist). Give the eccentricity of the curve. Use a graphing utility to check your work. 10 5 + 2 cos 0
-
Find the first and second derivatives of the function. G(r) = r + 3 r
-
In physics textbooks, the period T of a pendulum of length L is often given as T 2L/g , provided that the pendulum swings through a relatively small arc. In the course of deriving this formula, the...
-
Find the derivative. Simplify where possible. y = sech -1 (sin ), 0 < < /2
-
Regarding Enron, this was a company that resulted in the creation of the Sarbanes-Oxley Act and many reforms to the accounting profession. Research the company and answer the following...
-
Clayton received a $140,000 distribution from his 401(k) account this year. Assuming Clayton's marginal tax rate is 25 percent, what is the total amount of tax and penalty Shauna will be required to...
-
Mass LLp developed software that helps farmers to plow their fiels in a mannyue sthat precvents erosion and maimizes the effoctiveness of irrigation. Suny dale paid a licesnsing fee of $23000 for a...
Study smarter with the SolutionInn App