5

# 3.) a) Let D and E be measurable sets and f a function with domain D U E. Show that f is measurable if and only if its restriction to D and E are measurable_b.) Let...

## Question

###### 3.) a) Let D and E be measurable sets and f a function with domain D U E. Show that f is measurable if and only if its restriction to D and E are measurable_b.) Let f be a function with measurable domain D_ Show that f ismeasurable if and only if the function g defined by g(x) = f (x) for x â‚¬ D and g (x) 0 for x â‚¬ D is measurable_

3.) a) Let D and E be measurable sets and f a function with domain D U E. Show that f is measurable if and only if its restriction to D and E are measurable_ b.) Let f be a function with measurable domain D_ Show that f is measurable if and only if the function g defined by g(x) = f (x) for x â‚¬ D and g (x) 0 for x â‚¬ D is measurable_  #### Similar Solved Questions

##### '"1xaJuoj U} uojsnpjuoj Jnok a1e1s 'anjen-d Jnok 8unonoanien-d a41 pue wunspte1s-J 341 an5 '153} a4} und'sisayiodAy aNleuJale a41 a1e15'sisayiodAy Ilnu a41 a1e15caleuudojdde S! J5a1 J0 adk} 1eYMBw OOS Bw OOz oqaweia) Bu 0ujed ou Julaq pue uled awajixa a41 Bulaq OT 'OT 0} 0 WoJ} sem oie3s Awuanas 341 "Illd Jeans Jo 'IIApOIAW Jo a8esop Jw OOS 'IpoIAW Jo a8esop Ju OOz Jayla Buixe} Jayye sayjepeay 44a4} J0 Apuanas 341 31eJ 01 paxse jam sayjepeay Juan
'"1xaJuoj U} uojsnpjuoj Jnok a1e1s 'anjen-d Jnok 8unono anien-d a41 pue wunspte1s-J 341 an5 '153} a4} und 'sisayiodAy aNleuJale a41 a1e15 'sisayiodAy Ilnu a41 a1e15 caleuudojdde S! J5a1 J0 adk} 1eYM Bw OOS Bw OOz oqaweia) Bu 0 ujed ou Julaq pue uled awajixa a41 Bulaq OT...
##### WEe {05Question 24iptsConsider the following reaction: PCl3- Clz PCIs: If the percent vield is 66.3%,what mass of PCIsis actually formed when 61.3 gof E Clz reacts with excess PCIy?119.8145.892.5840.6 gNeatPreviousSubu: checked at 12.59pm save: Last No new data to
WEe {05 Question 24 ipts Consider the following reaction: PCl3- Clz PCIs: If the percent vield is 66.3%,what mass of PCIsis actually formed when 61.3 gof E Clz reacts with excess PCIy? 119.8 145.8 92.58 40.6 g Neat Previous Subu: checked at 12.59pm save: Last No new data to...
##### Points) Find the particular antiderivative that satisfies the following conditions:dy 3x-2 + Sx-I _ 8; Y(I) = 3_ dx
points) Find the particular antiderivative that satisfies the following conditions: dy 3x-2 + Sx-I _ 8; Y(I) = 3_ dx...
##### Usuere 7-2 = 42 +27 and z > 0 Z, (,1)
usuere 7-2 = 42 +27 and z > 0 Z, (,1)...
##### Causal linear time-invariant (LTI) system is denoted by the system fuction:1,2z H(2) 1-0.4z ~032zDelernine all poles of H(z} and state its region of convergence (ROCs) marks ]Determine the system impulse hn]_marks]iii) Determine the values of h[n]at n= +2,-1,2,3marks]iv) Justify il the syslem is realizable.[2 marks]
causal linear time-invariant (LTI) system is denoted by the system fuction: 1,2z H(2) 1-0.4z ~032z Delernine all poles of H(z} and state its region of convergence (ROCs) marks ] Determine the system impulse hn]_ marks] iii) Determine the values of h[n]at n= +2,-1,2,3 marks] iv) Justify il the syslem...
##### Find the moment generating function(MGF) of the distribution defined by dF = Ze-kxldx, ~co < x < 0 and hence find its variance by using such MGF. (b) Let X be random variable with E[X] = 1, and E[X(X-1)] 4. Find Var(X) and Var(2-3X)
Find the moment generating function(MGF) of the distribution defined by dF = Ze-kxldx, ~co < x < 0 and hence find its variance by using such MGF. (b) Let X be random variable with E[X] = 1, and E[X(X-1)] 4. Find Var(X) and Var(2-3X)...
##### Find the area between the x-axis and the graph of the function y - 70 %50
Find the area between the x-axis and the graph of the function y - 7 0 %5 0...
##### 0.3/0.6 points Previous AnswersSerCPWA11 9.WA.052My NotesAsk Your Tesoit arink bottlirg plant; nonzontal Gfction pipe canyirg citric acid liquld form Qoes Tron Cross-sacticna area cf 8,00 cr" Fluid flow speed cf 250 CT/s, and pressure 0f 1c3 Pa to sectlon Plpe wIth Cro5s-sectlona area 3,50 cm The density of tha cltrlc acld 1660 ka/m For the sectlon of smaller Flpe, determlr= the Ilquld flov speec and the Ilquld pressure_ tFe liquid fcv sppfr ms(J) the Ilquld Oressure
0.3/0.6 points Previous Answers SerCPWA11 9.WA.052 My Notes Ask Your Te soit arink bottlirg plant; nonzontal Gfction pipe canyirg citric acid liquld form Qoes Tron Cross-sacticna area cf 8,00 cr" Fluid flow speed cf 250 CT/s, and pressure 0f 1c3 Pa to sectlon Plpe wIth Cro5s-sectlona area 3,50 ...
##### Find dyldx and dyldx? and find the slope and concavity (if possible) at the given value of the parameter: (If an answi does not exlst; enter DNE: ) Parametric Equatlons Polntslopeconcavity:concave downwardconcave downwardl
Find dyldx and dyldx? and find the slope and concavity (if possible) at the given value of the parameter: (If an answi does not exlst; enter DNE: ) Parametric Equatlons Polnt slope concavity: concave downward concave downwardl...
##### ;In ratio test, if p > 1,the series diverges
;In ratio test, if p > 1,the series diverges...
##### Quesllon & Nol vat ensucredConsider the following balanced oxidation eduction reaction:Mnoz H"t 2 Ci' Mn?" Clz 2 Hzo Determine the oxidation number of each atom in this equation. In the boxes below place Ihe (clkun9: Which element oxidized (simply write the element symbol; e.g.Fe; 01 How many lectrons are Iost by each atom (1,,2, 31 Which element is reduced How many electrons are gained by each atomMarked Qui 0f 4,00Flng quaation
Quesllon & Nol vat ensucred Consider the following balanced oxidation eduction reaction: Mnoz H"t 2 Ci' Mn?" Clz 2 Hzo Determine the oxidation number of each atom in this equation. In the boxes below place Ihe (clkun9: Which element oxidized (simply write the element symbol; e.g.F...
##### Wncatrr cLIle tut iheyejrycomt uinnilon 0leak drinncr nnteoote ILT atearndomlyseleardncenlo conmcon #pnonchenssscer dGllin Ci Die pcoultoniaUElory Etnc Tocalcricrydimu1u400ganilieaIT Kut7 DrlauTm Ihr nultnnct r cnncinn pnlug 0ol6 Conat certh IhilIhcru rolnangt Ila "tthetLumtha Warhcontunnuonololdrictanu Panon rahhart < 0 elent 0nzmn Buckd Thictt doukn @udelxl racct th tobh {hot ttayratty c0rtusr ptkmn nli int Erlon & at lcast d#on pnk 0.0264,AetcttH0 Iut Uete # %f-Olah aderxe I0 reje
Wncatrr cLIle tut iheyejrycomt uinnilon 0leak drinncr nnteoote ILT atearndomlyseleardncenlo conmcon #pnonchenssscer dGllin Ci Die pcoultoniaUElory Etnc Tocalcricrydimu1u400ganilieaIT Kut7 DrlauTm Ihr nultnnct r cnncinn pnlug 0ol6 Conat certh IhilIhcru rolnangt Ila "tthetLumtha Warhcontunnuonolo...
##### Let A be the volume of the region in R3 that is under the plane 122 , above the zy-plane, and over the area in the zy-plane that is between the curves y - 22 +4c =4, y+22 _ 12c = -26.Find A =
Let A be the volume of the region in R3 that is under the plane 122 , above the zy-plane, and over the area in the zy-plane that is between the curves y - 22 +4c =4, y+22 _ 12c = -26. Find A =...
##### Given an example of a matrix function of the specified form. (Many examples may be possible.) $2 \times 3$ matrix function defined only for values of $t$ with $-2 \leq t<3$
Given an example of a matrix function of the specified form. (Many examples may be possible.) $2 \times 3$ matrix function defined only for values of $t$ with $-2 \leq t<3$...
##### The area of the rectangle is 252 square centimeters. What is its length? $$\begin{array}{l}\text { F } 18 \mathrm{cm} \\\text { G } 16 \mathrm{cm} \\\text { H } 14 \mathrm{cm} \\\text { J } 10\mathrm{cm}\end{array}$$ CAN'T COPY THE FIGURE
The area of the rectangle is 252 square centimeters. What is its length? $$\begin{array}{l}\text { F } 18 \mathrm{cm} \\\text { G } 16 \mathrm{cm} \\\text { H } 14 \mathrm{cm} \\\text { J } 10\mathrm{cm}\end{array}$$ CAN'T COPY THE FIGURE...