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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let S be the surface in R³ that is the image of the function F: R² R³ given by F(u, v) =
(u², v²,u+v). Let R be the surface in R³ given by 2x² + y² +2²= 7. Observe that the surfaces
both contain the point (1, 1,2). Find the parametric equation of the line that is tangent to both
surfaces at that point."
Transcribed Image Text:→>>
Let S be the surface in R³ that is the image of the function F: R² R³ given by F(u, v) =
(u², v²,u+v). Let R be the surface in R³ given by 2x² + y² +2²= 7. Observe that the surfaces
both contain the point (1, 1,2). Find the parametric equation of the line that is tangent to both
surfaces at that point.
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