Show that if w(x) is any fixed continuous function, then the weighted integral defines a linear operator
Question:
defines a linear operator Iw,: C0[a, b] R.
Transcribed Image Text:
lvl f ] = | f(x) u(x) dx
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 61% (13 reviews)
c I w f dI w ...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 Linear Algebra questions
-
Show that if w = ((r - s, s - t, t - r) then , an, aras + + o
-
Show that if w and Z are subspaces of V. then (a) Their intersection W Z is a subspace of V, (b) Their sum W + Z = { w + z | w W. z Z ) is also a subspace, but (c) Their union WUZ is not a...
-
Show that if W is a subspace of a finite-dimensional vector space V, then W is finite-dimensional and dim W ( dim V.
-
The best or alpha project managers spend more time on every process group than other project managers except for which one? A. initiating B. planning C. executing D. monitoring and controlling
-
The National Association for Stock Car Auto Racing, Inc. (NASCAR), sanctions stock car races. NASCAR and Sprint Nextel Corp. agreed that Sprint would become the official series sponsor of the NASCAR...
-
What is the accruals concept? Provide one example to show you understand this.
-
a. Nonlinearity in mass b. Nonlinearity in damping c. Linear equation d. Nonlinearity in spring \(\ddot{x}+c \dot{x}+k x=a x^{3}\)
-
(Two Temporary Differences, Tracked through 3 Years, Multiple Rates) Taxable income and pretax financial income would be identical for Jones Co. except for its treatments of gross profit on...
-
EcoSystems, Inc. is preparing a five-year plan. Today, your sales are $1,000,000. If the projected sales growth rate is 10% over the next five years, what will be the dollar amount of sales in year...
-
Jim McEntee is provided with a company car which he is allowed to use for private purposes. The car was purchased on 1 November 2017 for $40,000. During the year Jim drove the car 30,000 km of which...
-
Prove that multiplication Mh[f(x)] = h(x) f(x) by a fixed function h Cn[a, b] defines a linear operator Mh: Cn[a, b] Cn[a, b]. Which result from calculus do you need to complete the proof?
-
(a) Show that the partial derivatives both define linear operators on the space of continuously differentiable functions f(x, y). (b) For which values of a, b, c, d is the map linear? af ay x and...
-
For adult females, the standard deviation of their white blood cell counts is equal to 5.00. The random sample of 40 adult females in Data Set 1 from Appendix B has white blood cell counts with a...
-
Describe several metrics commonly used in operating indicator analysis.
-
What is the primary difference between the direct and step-down methods of cost allocation?
-
How does an organizations cost structure affect its exposure to economies of scale?
-
What is the capital market line? Why is it important?
-
a. What is the difference between trend analysis and comparative analysis? b. Which is more important?
-
What types of calculations consume the most time in the BP, SR, and NR methods? How does the inside-out method reduce this time?
-
Fill in each blank so that the resulting statement is true. 83 + 103 = ______ .
-
The time between surface finish problems in a galvanizing process is exponentially distributed with a mean of 40 hours. A single plant operates three galvanizing lines that are assumed to operate...
-
A popular clothing manufacturer receives Internet orders via two different routing systems. The time between orders for each routing system in a typical day is known to be exponentially distributed...
-
The conditional probability distribution of Y given X = x is FY|X(y) = XExy for y > 0 and the marginal probability distribution of X is a continuous uniform distribution over 0 to 10. (a) Graph is...
-
Discuss the automotive industry in Munich Germany to include: a) Current size of the industry in terms of revenues, b) Detailed information on BMW in Munich, Baravia, c) BMWs main competitors in...
-
Using the Internet, identify a known sexual offender who has been arrested, convicted, and sentenced. Using the available information, describe each of the following: (a) The type of behavior that...
-
Of our secondary and tertiary education system, are we doing a great job preparing students for the professional world post-college, or should that be placed upon the employer? If we need have a...
Study smarter with the SolutionInn App