5.6 Please help me answer this engineering math problem. Exercise 6The surface S is given by the parametric equation r(u, v) = ui + vj + −k, 0 ≤ u ≤ 1, 0≤ v ≤ 2.2Find the explicit equation of the surface S. Plot the surface.

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Answered: The surface S is given by the…

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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5.6 Please help me answer this engineering math problem.

Exercise 6
The surface S is given by the parametric equation r(u, v) = ui + vj + −k, 0 ≤ u ≤ 1, 0≤ v ≤ 2.
2
Find the explicit equation of the surface S. Plot the surface.

Expert Solution

Step 1: Step 1

$G i v e n space r left parenthesis u comma v right parenthesis equals u i plus v j plus v over 2 k space comma space 0 less or equal than u less or equal than 1 comma space 0 less or equal than v less or equal than 2 S o space x equals u space space space space space space y equals v space space space space space space z equals v over 2 T h u s space 0 less or equal than x less or equal than 1 comma space 0 less or equal than y less or equal than 2 comma space 0 less or equal than z less or equal than 1.$