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Consider the surface given by the parametric vector function (image)   1. The graph of r (u, v) is the same graph of the surface z2 = x2 − y2   2. The surface is smooth in all its points.   which is correct, incorrect or both

Consider the surface given by the parametric vector function (image)   1. The graph of r (u, v) is the same graph of the surface z2 = x2 − y2   2. The surface is smooth in all its points.   which is correct, incorrect or both

Advanced Engineering Mathematics
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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Consider the surface given by the parametric vector function (image)
 
1. The graph of r (u, v) is the same graph of the surface z2 = x2 − y2
 
2. The surface is smooth in all its points.
 
which is correct, incorrect or both
 
 
 
 
 
 
 
r(u, v) = sen(u)cos(v)i + sen(u)sen(v)j+ sen²(u)cos(v)k con 0 < u < 10 y 0 < u < 10.
Transcribed Image Text:r(u, v) = sen(u)cos(v)i + sen(u)sen(v)j+ sen²(u)cos(v)k con 0 < u < 10 y 0 < u < 10.
Expert Solution
Step 1

Given : a surface given by the parametric vector function

ru, v=sinucosvi→+sinusinvj→+sin2ucosvk→  on  0≤u≤10 , 0≤v≤10 

To check which of the statements are correct, incorrect or both :

1. The graph of ru, v is the same graph of the surface z2=x2-y2.

2. The surface is smooth in all its points.

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