Let z = g(x, y) = f(3 cos(xy), y + e=") provided that f(3, 5) = 6, f1(3,5) = 2, f2(3, 5) = 6. 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).
Let z = g(x, y) = f(3 cos(xy), y + e=") provided that f(3, 5) = 6, f1(3,5) = 2, f2(3, 5) = 6. 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).
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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![i) 24, ii) 6, iii) 24x + 6y - z = 18
i) 24, ii) 6, iii) 24x - 6y - z = 6
i) 24, ii) 18, ii)24x + 18y + z = 66
i) 72, ii) 6, iii) 72x - 6y - z = -54
i) -48, ii) 18, iii -48x + 18y + z = -30
i) 72, ii) -12, iii)72x -12y - z = -30
i) -24, ii) -12, ii) -24x -12y - z = 18
i) -48, ii) 24, iii -48x + 24y - z = 18](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe78ec49e-c8be-4118-a072-6487e221d98d%2Fdae0eccb-eeee-4779-869c-0e9ccbb08818%2Fc2q8xa8_processed.png&w=3840&q=75)
Transcribed Image Text:i) 24, ii) 6, iii) 24x + 6y - z = 18
i) 24, ii) 6, iii) 24x - 6y - z = 6
i) 24, ii) 18, ii)24x + 18y + z = 66
i) 72, ii) 6, iii) 72x - 6y - z = -54
i) -48, ii) 18, iii -48x + 18y + z = -30
i) 72, ii) -12, iii)72x -12y - z = -30
i) -24, ii) -12, ii) -24x -12y - z = 18
i) -48, ii) 24, iii -48x + 24y - z = 18
![Let z = g(x, y) = f(3 cos(xy), y + e=") provided that f(3, 5) = 6, f1(3,5) = 2, f2(3, 5) = 6.
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe78ec49e-c8be-4118-a072-6487e221d98d%2Fdae0eccb-eeee-4779-869c-0e9ccbb08818%2Fet9qxw_processed.png&w=3840&q=75)
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + e=") provided that f(3, 5) = 6, f1(3,5) = 2, f2(3, 5) = 6.
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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