
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:1. A function y = f(x,2) is defined by letting f(x, 2) = 1 – x² – (z – x)². Let S be the surface
defined by S = {{x, y, z) : y = f(x, 2)}. So S is a skewed paraboloid that opens downward.
Suppose (ro, yo, 2o) is a point lying on S. Give a formula for a normal vector n = n(xo, Yo, 2o)
which is normal (perpendicular) to S at (ro, Yo, žo). It not required that n be a unit vector,
but it should point upward (with y component positive).
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