Consider the surface S parameterized by r(u, v) = (u, 2 cos(v), 4 sin(v)),0 < u < 2,0 < v < 2n. 1. Identify surface S. [ [ Select ] 2. Find the tangent plane to S at the point (1, v2, 2/2). [Select] a 2x – y = 2 – v2 b 2x + y = 2 + v2 c 2x – z = 2 – 2/2 d 2x + z = 2+2/2 e 2y – z = 0 f 2y+z = 4v/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the surface S parameterized by
r(u, v) = (u, 2 cos(v), 4 sin(v)), 0 < u< 2,0 < v < 2n.
1. Identify surface S. [ Select ]
Select]
ellipsoid
2. Find the tangent p paraboloid
2,2/2). ( Selec
cone
cylinder
a 2x – y = 2 – 1 sphere
b 2x + y = 2+ v2
c 2x – z = 2 – 2/2
d 2x + z = 2+ 2/2
e 2y – z = 0
f 2y+z= 4/2
Transcribed Image Text:Consider the surface S parameterized by r(u, v) = (u, 2 cos(v), 4 sin(v)), 0 < u< 2,0 < v < 2n. 1. Identify surface S. [ Select ] Select] ellipsoid 2. Find the tangent p paraboloid 2,2/2). ( Selec cone cylinder a 2x – y = 2 – 1 sphere b 2x + y = 2+ v2 c 2x – z = 2 – 2/2 d 2x + z = 2+ 2/2 e 2y – z = 0 f 2y+z= 4/2
Consider the surface S parameterized by
r(u, v) = (u, 2 cos(v), 4 sin(v)), 0 < u < 2,0 < v < 2n.
1. Identify surface S. [ Select]
2. Find the tangent plane to S at the point (1, v2,2/2). (Select ]
a 2x – y = 2 – v2
b 2x + y = 2 + v2
c 2x – z = 2 – 2/2
d 2x + z = 2+ 2/2
e 2y – z = 0
f 2y+ z = 4/2
Transcribed Image Text:Consider the surface S parameterized by r(u, v) = (u, 2 cos(v), 4 sin(v)), 0 < u < 2,0 < v < 2n. 1. Identify surface S. [ Select] 2. Find the tangent plane to S at the point (1, v2,2/2). (Select ] a 2x – y = 2 – v2 b 2x + y = 2 + v2 c 2x – z = 2 – 2/2 d 2x + z = 2+ 2/2 e 2y – z = 0 f 2y+ z = 4/2
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