Express by repeated integrals. Do not evaluate: The volume of the solid bounded above by the parabolic cylinder z=4−y2,
Posted: Thu Jul 14, 2022 4:21 pm
Express by repeated integrals. Do not evaluate: The volume of the solid bounded above by the parabolic cylinder z=4−y2, below by the plane 3x+5y+z+8=0, and on the sides by the circular cylinder x2+y2−x=0. a) ∫01∫−x−x2x−x2∫−3x−5y−84−y2 dz dy dx b) ∫021∫−x−x2x−x2∫−3x−5y−84−y2 dz dy dx c) ∫021∫−1−y21−y2∫04−y2(3x+5y+z+8)dz dx dy d) ∫−11∫−x−x2x−x2∫3x+5y+84−y2 dz dy dx e) ∫01∫−1−y21−y2∫04−y2(3x+5y+z+8)dzdxdy f) None of these.