tz = g(x, y) = f(3 cos(xy), y + e#") provided that f(3, 7) = 4, f1(3, 7) = 2, (3, 7) = 3. %3D Find g1 (0, 6). Find g2 (0, 6). Find the equation of the tangent plane to the surface z= f(3 cos(xy), y + e#Y) at the -int (0,6).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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) 18, i) 3, il) 18х + Зу -z %3D14
i) 18, i) 3, il) 18х- Зу - z%3D6
) 18, i) 9, ii) 18х + 9у + z %3 50
) 54, i) 3, ii) 54х - Зу - z %3D-40
i) -36, i) 9, il) -36х + 9у + z %3D - 22
i) 54, i) -6, il) 54х -бу - z%3D-22
) -18, i) -6, i) -18х -бу - z%3D 14
i) -36, i) 12, ii) -36х + 12y - z 3 14
Transcribed Image Text:) 18, i) 3, il) 18х + Зу -z %3D14 i) 18, i) 3, il) 18х- Зу - z%3D6 ) 18, i) 9, ii) 18х + 9у + z %3 50 ) 54, i) 3, ii) 54х - Зу - z %3D-40 i) -36, i) 9, il) -36х + 9у + z %3D - 22 i) 54, i) -6, il) 54х -бу - z%3D-22 ) -18, i) -6, i) -18х -бу - z%3D 14 i) -36, i) 12, ii) -36х + 12y - z 3 14
Let z = g(x, y) = f(3 cos(xy), y + e=Y) provided that f(3,7) = 4, f1(3, 7) = 2,
f2(3, 7) = 3.
i) Find g1 (0, 6).
ii) Find g2 (0, 6).
iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e™y) at the
point (0, 6).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + e=Y) provided that f(3,7) = 4, f1(3, 7) = 2, f2(3, 7) = 3. i) Find g1 (0, 6). ii) Find g2 (0, 6). iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e™y) at the point (0, 6).
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