parametrizes the portion of the sphere x² + y² + z² = 9 that is above the xy-plane and below the cone z = √√√x² + y².

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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true or false and why

parametrizes the portion of the sphere x² + y² + z² = 9 that is above the xy-plane and
below the cone z = √√√x² + y².
Transcribed Image Text:parametrizes the portion of the sphere x² + y² + z² = 9 that is above the xy-plane and below the cone z = √√√x² + y².
r(u, v)
=
(3 cos u sin v, 3 sin u sin v, 3 cos v), 0 ≤ u ≤ 2π, π/4 ≤ v ≤ π/2
Transcribed Image Text:r(u, v) = (3 cos u sin v, 3 sin u sin v, 3 cos v), 0 ≤ u ≤ 2π, π/4 ≤ v ≤ π/2
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