Let z = g(z, y) = f(3 cos(ry), y + e") provided that f(3, 7) = 4, fi(3, 7) = 2, f2(3, 7) = 3. i) Find g1 (0, 6). ii) Find 92 (0, 6). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry),y + etv) at the point (0, 6).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let z = g(x, y) = f(3 cos(ry), y + e) provided that
f(3,7) = 4, f1(3, 7) = 2, f2(3, 7) = 3.
%3D
i) Find g1 (0,6).
i) Find g2 (0, 6).
iii) Find the equation of the tangent plane to the surface
z = f(3 cos(ry), y + e") at the point (0, 6).
COS
Transcribed Image Text:Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3,7) = 4, f1(3, 7) = 2, f2(3, 7) = 3. %3D i) Find g1 (0,6). i) Find g2 (0, 6). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e") at the point (0, 6). COS
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