Question

Can you please solve both of these problems?

Evaluate the given integral by changing to polar coordinates. 9(x + y) dA where R is the region that lies to the left of the y-axis between the circles x2 + y2 = 1 and x2 + y2 = 4. , -378 Need Help? Read It Master It Talk to a Tutor -11 points v SCALCET8 15.3.511.XP. Evaluate the given integral by changing to polar coordinates. Il V25 – x2 + y2 da where R = {(x,y) | x2 + y2 < 25,x 20. Need Help? Read It Talk to a Tutor

Answer 1

coordnete Il qix1 da alh 27424 2+4=4 - 4²=4 S=2 be the given integsed by chenging to palees heute fl 9 (x1) aA where R is the segren that lies to the left of the y-asa's between circle x² + y²1 and x² + y2=4. ? Hese we want to find integreed by Changing to pales coordinat IS 90H da. where R is region bounded by schepal' heft of the younis To changing paleen coordinate ne telve aarcoso & yardsino da=dx dy=lol dedos dado and alep=17 8=172=1 1 x²18=4 8 = 478=2 Now SJ 9022++) do = P 1 91scoso+Asince) s drdo 342 s²21 s12 Saccosorsinolds do 0-17 LA = Sacostasime) [ se do Ma coso e sino) (85-a) do = 63 jm oleoso tsin 20) do 73742 = 21 [ sino-cos self [-+-o]-(1-03) = 211-2) = -42 RA 1 3742 O=142 38=2

erlelhecete pe ves-syz da, Radny 1 202 2.42 €25,426 ere we went to evedute given inteysal by poleer for that we telke aarcoso, varsino dA = dady = r drdo & adapt=257 8 = 25=2=5 MOW Il ves-of-up da 448 = 15125- & Rardo 1 *}-4621)[es-5 aan do (Spo len dzo Ao? It'u ffers de 25. {LO ]-[(25)*]} do O 0-0 1/2 = (tee yhts MAT 5020 1/2 = 2x125 J i do 3 020 2212 sexley [@ J. = 2*lF (QQ-0)