Let z = g(x, y) = f(3 cos(ry), y + e²") provided that f(3,5) = 7, f1(3,5) = 2, f2(3, 5) = 5. i) Find g1 (0, 4). i) Find 92(0, 4). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e") at the point (0, 4).

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(xy), y + e#") provided that f(3,5) = 7, f1(3, 5) = 2, f2(3, 5) = 5.
i) Find g1 (0, 4).
ii) Find g2 (0, 4).
iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=Y) at the point (0, 4).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + e#") provided that f(3,5) = 7, f1(3, 5) = 2, f2(3, 5) = 5. i) Find g1 (0, 4). ii) Find g2 (0, 4). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=Y) at the point (0, 4).
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