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-a-) Find the surface normal vector the sphere with radius √TT centered at (0,1,0) ie x² +(y-1)² + 2² = 11 at the Point P= (1, 2, 3), to

-a-) Find the surface normal vector the sphere with radius √TT centered at (0,1,0) ie x² +(y-1)² + 2² = 11 at the Point P= (1, 2, 3), to

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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a-) Find the surface the sphere with at b-) (0,1,0) ie normal ie x² radius √11' centered 2 x² + (y-7) ² + 2² = 11 at the Point P= (1, 2, 3), vector to ►For the function = x²y+yz at the point (1,2,−1), find its rate of change with distance in the direction a = i +2j+ 3k. At this same point, what is the greatest possible rate of change with distance and in which direction does it occur?
Transcribed Image Text:a-) Find the surface the sphere with at b-) (0,1,0) ie normal ie x² radius √11' centered 2 x² + (y-7) ² + 2² = 11 at the Point P= (1, 2, 3), vector to ►For the function = x²y+yz at the point (1,2,−1), find its rate of change with distance in the direction a = i +2j+ 3k. At this same point, what is the greatest possible rate of change with distance and in which direction does it occur?
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