Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function. r(u, v) = 5 cos(v) cos(u)i + 5 cos(v) sin(u)j + 3 sin(v)k Identify the surface cone cylinder O ellipsoid plane O spheroid Sketch its graph. X 10 5 z +10 -10 5 10 -10 X 10 5 z 10 -10 5 -10 -5 10 -10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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15.5-5

Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function.
r(u, v) = 5 cos(v) cos(u)i + 5 cos(v) sin(u)j + 3 sin(v)k
Identify the surface
cone
cylinder
O ellipsoid
plane
O spheroid
Sketch its graph.
O
X
10
X
10
5
5
z +10
-10
z 10
-10 5
10
5
10
10
-10
-10
O
O
X
10
10
5
5
z 10
-10 5
-10
z 10
1015
5
-10
-5
10
-5
10
-10
-10
Transcribed Image Text:Find the rectangular equation for the surface by eliminating the parameters from the vector-valued function. r(u, v) = 5 cos(v) cos(u)i + 5 cos(v) sin(u)j + 3 sin(v)k Identify the surface cone cylinder O ellipsoid plane O spheroid Sketch its graph. O X 10 X 10 5 5 z +10 -10 z 10 -10 5 10 5 10 10 -10 -10 O O X 10 10 5 5 z 10 -10 5 -10 z 10 1015 5 -10 -5 10 -5 10 -10 -10
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