Question

1 4. For each of the following, compute the integral or show it doesn't exist: (a) Sr3 1+z2+y2 +220V (b) Sc 1027y2y2dA where C {(x, y) : x2 + y2 <1} (C) Ss zvydA where S = = {(x,y) : 1 < x, 0 }

Answer 1

Date: / / = 1 x4 el txo T 2 020 ۔ f iept r 070 ht I = oly 820 it i the anal compoper integral overgne out hence it does not exist с. bro. f da = {(mig): Isro & t osgshe } A -y=1 re=1

3 Date: I Yze dy dre zdy ne-a y=0 Vie 2 laget 1 olae 20 o Uz2 2 2e E I are uzt 2 dre 36 X q 2 e -3+) 2 -Y t -Y 2 x (-2) [ 4 Lou 20 - 4 of

u Date: 4. Ang f the L da na ndy S dv 1+22+4²43 R? ut f(443) (even) 1.+2274243² 17 1+²+4² +3² olu=8 1. dzalche (+22+4²+32 2=0 y zo zo R3 of dzdzdze 61 + x² týd)² +82 2 420 gao 320 or dyda I fant It 3 N+2²+y? di+katy 220 Yao (fant fantas-tonto) dzelge d1+x²+42 uzo ý zo T oledy 2 d1+x²+42 uzo y zo

5 Date: in polors. Cordlinate, & ad cuso ya rsino. tes 7/2 7 0.70 / rardo. d+82 oro rzo (+82 z t? Zootra&tat The 45 et do * * Oso r=4 si 2 27 24.2 dt do. oro tl 27 do dit 47 > tel Ozo tiñan dt on ti 7² ft to 852[oro co Colognet ont