Consider the surface S shown on the graph, whose parameterization is given by: r(u, v) = (v², uv, 4-²) where ≤ ≤2, 0≤ ≤2 z The area differential, ds, is given by: A) ds = √2u²-4uv-2² dA B) dS=√16u¹ +4u²y² + 4v¹ dA C) ds = √4u¹ +4u²v² + 16vª dA == D) dS=√4u + 16u²v² + 4v² da

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the surface S shown on the graph, whose parameterization
is given by:
r(u, v) = (v², uv, 4-²) where 0≤ ≤2, 0≤0 ≤2
y
The area differential, ds, is given by:
A) dS= √2u²-4uv-2v² dA
B) dS=√16u4 + 4u²v² + 4v¹ dA
C) dS= √4u + 4u²v² + 16vª dA
D) dS √4u + 16u²v² + 4vª dA
Transcribed Image Text:Consider the surface S shown on the graph, whose parameterization is given by: r(u, v) = (v², uv, 4-²) where 0≤ ≤2, 0≤0 ≤2 y The area differential, ds, is given by: A) dS= √2u²-4uv-2v² dA B) dS=√16u4 + 4u²v² + 4v¹ dA C) dS= √4u + 4u²v² + 16vª dA D) dS √4u + 16u²v² + 4vª dA
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