Let (f:[0, infty) ightarrow mathbb{R}) be absolutely continuous. Show that (int f^{a-1} d f=f^{a} / a) for
Question:
Let \(f:[0, \infty) ightarrow \mathbb{R}\) be absolutely continuous. Show that \(\int f^{a-1} d f=f^{a} / a\) for all \(a>0\).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Brownian Motion A Guide To Random Processes And Stochastic Calculus De Gruyter Textbook
ISBN: 9783110741254
3rd Edition
Authors: René L. Schilling, Björn Böttcher
Question Posted:
Students also viewed these Business questions
-
(a) Use the following text to derive distributions for rat and chased. Use a five-word window, including open- and closed- class words, ignore case, punctuation and sentence boundaries and weight...
-
QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
Blocks A and B shown in the figure are free and all surfaces are non-friction. Find the velocity of the blocks at t = 3 s, since the tensile force shown in the graphic is applied to the block A...
-
Fill in the blank: Roughly, when arranged in increasing order, the uppermost 25% of a data set are greater than or equal to ________.
-
Knowing that at the instant shown bar AB has a constant angular velocity of 4 rad/s clockwise, determine the angular acceleration (a) Of bar BD, (b) Of bar DE. 200 mm B 160 60 mm D 120mm
-
In 1970, Rose Mary Knick purchased 90 acres of land in Scott Township, Lackawanna County, Pennsylvania. In 2008, another resident of Scott Township discovered documents that suggested that one of...
-
Assume that you are the president of Highlight Construction Company. At the end of the first year (December 31, 2014) of operations, the following financial data for the company are available:...
-
It is now June 30, 2023. The journal entry for the investment in the put option had already been recorded on January 1, 2023. SmartiePants Corp prepared its financial statements on March 31, 2023 as...
-
Use the strong Markov property to show the stationary and independent increments property in Lemma 19.32.c) directly, i.e. for all \(0=u_{0} Data From Lemma 19.32 19.32 Lemma. Let (Bt)to be a BM, Lo...
-
Show the following addition to Lemma 19.16:\[\tau(t-)=\inf \{s \geqslant 0: a(s) \geqslant t\} \quad \text { and } \quad a(t-)=\inf \{s \geqslant 0: \tau(s) \geqslant t\}\] and \(\tau(s) \geqslant t...
-
In an examination of Daniel Corporation Ltd. as of December 31, 2014, you have learned that the following situations exist. No entries have been made in the accounting records for these items. Daniel...
-
Which term represents the sum of money allocated or set aside for a specific purpose within a budget?
-
Which bond should UM purchase? Q: Mike is a high net worth individual (HNWI). His marginal tax rate is the top rate of 37%. He has a 401k and a traditional IRA account. Which bonds should he buy in...
-
What is the term used to describe a temporary funding mechanism that allows the government to continue operating when a budget has not yet been approved?
-
CASE in the United States- Respondent (Albert) is making a "special appearance" to contest jurisdiction. Discuss Subject Matter Jurisdiction, In-rem Jurisdiction, and Personal Jurisdiction. Address...
-
Trend Analysis and Benchmarking If a project is expected to cost $180,000 and produce cash flows over the next 3 years of $80,000, $90,000, and $15,000 respectively, what is the payback period,...
-
A 1200-nF capacitor with circular parallel plates 2.0 cm in diameter is accumulating charge at the rate of 35.0 mC/s at some instant in time. What will be the magnitude of the induced magnetic field...
-
Calculate the number of neutrons of 239Pu.
-
A stochastic matrix is said to be doubly stochastic if for all columns, the sum of the probabilities is also equal to one. Show that if a chain with such a matrix is finite and ergodic, in the long...
-
Assume that in the situation of Example 4.2-5, in the stationary regime, a daily number of accidents occurred to be greater than six. Find the probability that the weather on this day corresponds to...
-
Consider the situation of the example on weather-condition in Section 2.3 in the stationary regime. Given that the today weather conditions are either rainy or icy-road ones, find the mean waiting...
-
"It is the great multiplication of the production of all the different arts in consequence of the division of labour, which occasions in a well-governed society, that universal opulence which extends...
-
Mike leases a new pickup by paying $3200 up front and $259 a month over three years. The lease also stipulates he will be charged $0.15 per mile for every mile over 36,000. If he puts 39,928 miles on...
-
4. Luke factored x-9x + 14 as shown. I know -7 and -2 have a sum of -9 and a product of 14, so the factors must be x - 7 and x-2. Luke showed his work to Destiny. who was working on the same problem....
Study smarter with the SolutionInn App