Let z = g(x, y) = f(3 cos(ry), y + ev) provided that f(3, 6) = 4, fi(3, 6) = 2, f2(3, 6) = 3. %3D i) Find g1 (0, 5). ii) Find 92 (0, 5). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e) at the point (0, 5).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let z = g(x, y) = f(3 cos(xy), y + ev) provided that
f(3, 6) = 4, fi(3,6) = 2, f2(3, 6) = 3.
%3D
%3D
i) Find g1 (0, 5).
ii) Find 92 (0, 5).
iii) Find the equation of the tangent plane to the surface
f(3 cos(ry), y + e*") at the point (0, 5).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + ev) provided that f(3, 6) = 4, fi(3,6) = 2, f2(3, 6) = 3. %3D %3D i) Find g1 (0, 5). ii) Find 92 (0, 5). iii) Find the equation of the tangent plane to the surface f(3 cos(ry), y + e*") at the point (0, 5).
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