Express by repeated integrals. Do not evaluate: The volume of the solid bounded above by the parabolic cylinder z=4−y2,

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Express By Repeated Integrals Do Not Evaluate The Volume Of The Solid Bounded Above By The Parabolic Cylinder Z 4 Y2 1 (95.44 KiB) Viewed 62 times

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−x2​x−x2​​∫−3x−5y−84−y2​ dz dy dx b) ∫021​​∫−x−x2​x−x2​​∫−3x−5y−84−y2​ dz dy dx c) ∫021​​∫−1−y2​1−y2​​∫04−y2​(3x+5y+z+8)dz dx dy d) ∫−11​∫−x−x2​x−x2​​∫3x+5y+84−y2​ dz dy dx e) ∫01​∫−1−y2​1−y2​​∫04−y2​(3x+5y+z+8)dzdxdy f) None of these.