Question: Let f(x) be a bounded function defined as 1, x E Qn [a, b]. f (x) = 0, x * Qn[a, b]. Prove that f

Let f(x) be a bounded function defined as 1, x E

Qn [a, b]. f (x) = 0, x * Qn[a, b]. Prove

Let f(x) be a bounded function defined as 1, x E Qn [a, b]. f (x) = 0, x * Qn[a, b]. Prove that f is not integrable on [a, b]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Please help Math231-W4: Problem 11 Previous Problem List Next (1 point) (1 point) Throughout this question, X - {2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and Y = {0, 1, 2, 3, 4, 5, 6, 7}. Let f : X - Y be the...

Q:

Let f be a continuous, positive function defined on [1, co) such that lim f(x) exists (i.e. the x-+00 limit is finite). .OO (a) Give an example of such a function f such that (f (x)) dax converges...

Q:

5. Does the following equation specify a function with an independent variable x? If yes, find the domain of the function. If not, explain briefly. (a) y(x + y) = 4 (b) x(x + y) =4 (c) x3 - yz = 0...

Q:

(a) Consider the function f : R - R defined by 2 if x 0. (i) Prove that f is discontinuous at 0. [3] (ii) Using only the definition of continuity, prove that f is continuous at every c 0. [5] (b)...

Q:

Please show steps on how to solve this question Problem #11: A real-valued function g(x, y, z) is called a harmonic function in a region D CR if it satisfies the Laplace [8 marks] Equation V-g = V.Vg...

Q:

Let f : Z - N be a function defined by f(x) = 1+ |x). This function is O neither injective nor bijective O injective, but not surjective O bijective O surjective, but not injectiveLet f : Z - Z be a...

Q:

please help 5. For a function f : A - B and subsets E and F of B, prove f-'(E - F) = f-'(E) -f-'(F). 6. Let f : R - R be the function defined by f(x) = x2 + ax + b, where a, be R. Determine whether f...

Q:

MAT 137Y: Calculus! Problem Set 7. Due in tutorial on July 27/28 Instructions: Print this cover page, fill it out entirely, sign at the bottom, and STAPLE it to the front of your problem set (You do...

Q:

1. (4 pts) Which of these graphs represent a one-to-one function? Answer(s): ____________ (no explanation required.) (There may be more than one graph that qualifies.) (A) (B) (C) (D) 2. (6 pts)...

Q:

MATH 107 QUIZ 5 NAME: _______________________________ February, 2016 I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS The...

Q:

2. You borrow $15 500 at 6.7% compounded monthly. The loan is to be repaid in 6 years. a) How much will you have to pay back? (2) b) How much interest will you pay? (1) 3. You take out a 4.44% loan,...

Q:

A contractor is tendering for a road cutting to be blasted through a competent dolerite. He asks you for your assistance in designing a pre-split blast using the following parameters. Hole diameter:...

Q:

Liquid A = flash point 1 0 0 F ; Liquid B = falsh point = 2 0 0 F . Which liquid has higher degree of flammability? a . Liquid A b . Liquid B c . Cannot be determined

Q:

The unit circle ({(x,y)|x2 +y2 = 1}) is divided into three arcs by choosing three random points on the circle. Compute the expected length of the arc which has the smallest length among three arcs.

Q:

Prairie Park was started on April 1 by C. J. Amaro and associates. The following selected events and transactions occurred during April. Apr. 1 Stockholders invested $51,853 cash in the business in...

Q:

Pam and Pete formed a partnership in order to start a computer software consulting business. Pam was well aware that Pete could not be trusted with the partnership's money (he was likely to spend...

Q:

In the United States, some scientists, sociologists, and politicians propose that the access to environmental quality is not evenly distributed across the socioeconomic classes. In 2005, when...

Q:

What are the steps in performing a multiple regression?

Q:

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

Q:

Kick Moreno owns The Steak Place in Orlando, Florida. The Steak Place is an affordable restaurant near International Drivea tourist mecca. Rick accepts cash and checks. Checks are deposited...

Q:

ATs Auto Supply ("Everything you need for your car") carries a variety of auto parts in cluding oil filters. The sales budget for oil filters for the first six months of the year is pre sented below....

Q:

Refer to 8-6. Rick thinks that it may be time to refuse to accept checks and to start accept ing credit cards. He is negotiating with VISA/MasterCard and American Express, and he would start the new...