Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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g(x,y,z)=x^2+y^2+(z-3)^2

a. Find the equation of the tangent plane to the level set g(x, y, z) = cat the point P(2,-1, 1)
in the level set, and find the value of c.
b. Find a unit vector u so that the directional derivative of g at point the P. denoted D,,ge.
is zero.
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Transcribed Image Text:a. Find the equation of the tangent plane to the level set g(x, y, z) = cat the point P(2,-1, 1) in the level set, and find the value of c. b. Find a unit vector u so that the directional derivative of g at point the P. denoted D,,ge. is zero.
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