Question

Change the Cartesian integral to an equivalent polar integral, and then evaluate. 810 PV100 - y2 dx dy -10 - V100 - y2 A) 107 B) 1007 C) 2007 D) 4007 Evaluate the integral. ho 5x + 10y 25° 525-y? j*x + 10% de dx dy to dz dx dy 0 0 A) 625 B) 3125 C) 125 D) 25

Answer 1

1 I = 10 I Jay P dx dy ze 2 + y 2100 72=100 r=10 Y = to to y=10 x = -1 100-ys to 8 = 100-yz lesing bolar Co-ordinates but 2=roco, y=rsing Japang lordrdo Jam 2 (13) 10 do I T . 1 (100) Ja loo T A Jag serye satted dz do dy I Į Jerry (56 tloy) dady y=o to y=5 xao to x = J25_42 using bolar Co-ordinates but saroso, y=rrino 2 2e2+ y² - 95 r =5 I g (5rb6+ lorsingrardo I-67 (2) set 10 (23) sinodo I = 54125 4th Go do + 10125 e sinode J = (625 + 1250) (1) 12 1875 = 625 (1= 625