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Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3. i) Find g1 (0, 5). ii) Find g2 (0, 5). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + ez") at the point (0, 5). !!

Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3. i) Find g1 (0, 5). ii) Find g2 (0, 5). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + ez") at the point (0, 5). !!

Advanced Engineering Mathematics
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, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3. i) Find g1 (0, 5). ii) Find g2 (0, 5). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=") at the point (0, 5).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(ry), y + e) provided that f(3, 6) = 7, fi(3, 6) = 2, f2(3,6) = 3. i) Find g1 (0, 5). ii) Find g2 (0, 5). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=") at the point (0, 5).
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