a) Compute the equation of the tangent plane to the level surface 9(x, y, 2) = x’y + 2y°z – 3z°x = 3 Don't rou 1were unle

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) Compute the equation of the tangent plane to the level surface
g(x, y, z) = x'y + 2y°z – 3z*x = 3
Don't round answers unless
at the point (1,0, – 1).
b) Consider z = z(x, y) as a function of x and y, so z(1,0) = -1. Use
the approximation of the surface by its tangent plane to approximate
21 = z(0.99, 0.02).
c) Use your approximation of z1 from part b to evaluate g(0.99, 0.02, zı)
to five decimal places. Your answer should be close to 3. Is it?
the instructions request approximations, or as part of checking your
own work.
Transcribed Image Text:a) Compute the equation of the tangent plane to the level surface g(x, y, z) = x'y + 2y°z – 3z*x = 3 Don't round answers unless at the point (1,0, – 1). b) Consider z = z(x, y) as a function of x and y, so z(1,0) = -1. Use the approximation of the surface by its tangent plane to approximate 21 = z(0.99, 0.02). c) Use your approximation of z1 from part b to evaluate g(0.99, 0.02, zı) to five decimal places. Your answer should be close to 3. Is it? the instructions request approximations, or as part of checking your own work.
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