Question

Evaluate the triple integral. xyzdy, where G is the solid in the first octant that is bounded by the parabolic cylinder z = 2 - x and the planes z = 0,y = x, and y = 0. N Enter the exact answer as an improper fraction, if necessary = xyzdV = Edit Question Attempt By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Poly@2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of Bahn Wiley & Sons, Inc.

Answer 1

SSS xyz dv let I= SMS xyz dv 0 and z=0 : Z- 2-72 nt Sanda = x m+) Y=x & y=0 a (Q+b)P QP+63-2ab for x, Z=0 2-3220 x²=2 x- at vores o to 32 from 0 ra x 2-x2 I = i s s xyz xyz dz dy doc z=0 x=0 y=0 Ža Iz Say dy 2-2 z dz dx f 0 e x 2-02 I=S ss ay dy dx [ 22 ]

I 5 ray dy dx [ (2 - x292-0} 52 I = 4 1 S x da y (4+04 - 4x² dy he h x I= 6x (24+4-482) dx J2 +46-483) dic and I= s(as 52 I = '(x5_4a3 +4x) (0²-0) dx 2x2 JE I us (67 - 4.85 +403) dx to O - T + 4x4 22 2. 3 (52) 6 h u gos - 304 + young +632)4-07 Is to [ 18 - 2 x 8 + 4 } TE * [6-1) = + (! glen] را 18-16 3 Is at ( 3 ) = to DS