Diffrential integral , Mathematics

Assignment Help:

All the integrals below are understood in the sense of the Lebesgue.

(1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]. Then

                            960_Diffrential Integral.png

(2) Assume that f is integrable over [0; 1]. Show that

                                       1057_Diffrential Integral 1.png

is di erentiable a.e on (0; 1).


(3) Assume that f is continuous on [0; 1]. Suppose that

 

                      1516_Diffrential Integral 2.png


Related Discussions:- Diffrential integral

Liniar Algebra, Assume A and B are symmetric. Explain why the following are...

Assume A and B are symmetric. Explain why the following are symmetric or not. 1) A^2 - B^2 2) (A+B)(A-B) 3) ABA 4) ABAB 5) (A^2)B

Solution Of Rectilinear Figures, Find the number of square feet of pavement...

Find the number of square feet of pavement required for the shaded portion of the streets shown in the figure, all the streets being 50 feet wide.

Clique graph, Consider the clique graph below. a) How many subgraph...

Consider the clique graph below. a) How many subgraphs of G with 3 nodes are there?  b) How many of the subgraphs defined in part(a) are induced subgraphs?

Generalized least squares regression, a. Estimate the following model,  C t...

a. Estimate the following model,  C t   =  β 0   +  β 1 * DI t +  ε t             Where C t = Aggregate Consumption Expenditure in Australia, quarterly data for the per

How many feet is the width of the deck, A pool is surrounded through a deck...

A pool is surrounded through a deck that has the similar width all the way around. The total area of the deck only is 400 square feet. The dimensions of the pool are 18 feet throug

What is the radius of the traffic circle, In traveling three-fourths of the...

In traveling three-fourths of the way around a traffic circle a car travels 0.228 mi.  What is the radius of the traffic circle? The radius of the traffic circle is ____ mi.

Equivalence relation, a) Let V = f1, 2, :::, 7g and define R on V by xRy if...

a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x -  y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain t

Numerical methods, Consider the following interpolation problem: Find a q...

Consider the following interpolation problem: Find a quadratic polynomial p(x) such that p(x0) = y0 p’(x1) = y’1 , p(x2) = y2 where x0 is different from x2 and y0, y’1 , y2 a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd