Let H be the portion of the solid enclosed by the hemisphere z = /4 – x2 – y2, above the plane z = 1 and outside the cone z = 3x2 + 3y². (1) Please sketch the solid H and label the coordinate axis and the surfaces properly. (2) In addition, set up a triple integral in spherical coordinates equal to the volume of H.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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4 - x2 – y2, above the
3x2 + 3y2. (1) Please sketch the solid H and label
the coordinate axis and the surfaces properly. (2) In addition, set up a triple integral in
Let H be the portion of the solid enclosed by the hemisphere z =
plane z = 1 and outside the cone z =
spherical coordinates equal to the volume of H.
Transcribed Image Text:4 - x2 – y2, above the 3x2 + 3y2. (1) Please sketch the solid H and label the coordinate axis and the surfaces properly. (2) In addition, set up a triple integral in Let H be the portion of the solid enclosed by the hemisphere z = plane z = 1 and outside the cone z = spherical coordinates equal to the volume of H.
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