2. Sketch the region bounded by Z= z=9−(x² + y²). and

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Sketch the region bounded by
z = 9−(x² + y²).
11
and
3. If the curve z=x² in the xz-plane is revolved about the
z -axis, the resulting surface has equation z = x² + y²,
obtained as a result of replacing x by √x² + y² . If y=2x² in
the xy -plane is revolved about the y -axis, what is the
equation of the resulting surface?
Transcribed Image Text:2. Sketch the region bounded by z = 9−(x² + y²). 11 and 3. If the curve z=x² in the xz-plane is revolved about the z -axis, the resulting surface has equation z = x² + y², obtained as a result of replacing x by √x² + y² . If y=2x² in the xy -plane is revolved about the y -axis, what is the equation of the resulting surface?
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