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).
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbbcdb0b-a4d2-4c8a-bf52-184bc7eb85e7%2F32cf7feb-1d1f-4fae-8cb8-ac23d180f440%2Fa5hjg4u_processed.jpeg&w=3840&q=75)
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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