Q.The surface S: 2 = x2 – y? has a mapping X(u, v) : R2 a. X(u, v) = (u +v)e1 + (u – v)e2 + 2uvez b. X (u, v) = (u – v)ei + (u + v)e2 + 4uvez c. X(u, v) = (u+ v)e1 + (u – v)e2 + 4uvez. d. X (u, v) = (u + v)e1 + (u – v)ez2 – 2uvez - S represents S -- - e. None of these.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 8E
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Q.The surface S: z = x2 – y? has
a mapping X(u, v) : R²
a. X(u, v) = (u + v)e1 + (u – v)e2 +2uvez
b. X (u, v) = (u – v)ei + (u + v)ez + 4uvez
c. X(u,v) = (u + v)e1 + (u – v)ez + 4uvez.
d. X (u, v) = (u + v)e1 + (u – v)ez – 2uvez
e. None of these.
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S represents S
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a
b
O c
d
O e
Transcribed Image Text:Q.The surface S: z = x2 – y? has a mapping X(u, v) : R² a. X(u, v) = (u + v)e1 + (u – v)e2 +2uvez b. X (u, v) = (u – v)ei + (u + v)ez + 4uvez c. X(u,v) = (u + v)e1 + (u – v)ez + 4uvez. d. X (u, v) = (u + v)e1 + (u – v)ez – 2uvez e. None of these. | S represents S | - a b O c d O e
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