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Let z g(x, y) = f(3 cos(xy), y + e#v) provided that f(3,5) = 4, f1(3, 5) = 2, f2(3, 5) = 4. i) Find g, (0, 4). ii) Find g2 (0, 4). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e*v) at the point (0, 4).

Let z g(x, y) = f(3 cos(xy), y + e#v) provided that f(3,5) = 4, f1(3, 5) = 2, f2(3, 5) = 4. i) Find g, (0, 4). ii) Find g2 (0, 4). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e*v) at the point (0, 4).

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(xy), y + e=) provided that f(3,5) = 4, f1(3, 5) = 2, f2(3, 5) = 4. 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(xy), y + e™ ) at the point (0, 4). Türkçe: f(3, 5) = 4, f1(3,5) = 2, f2(3, 5) = 4 olmak üzere z = g(x, y) = f(3 cos(xy), y + e™v) olsun. i) 91 (0, 4) değerini bulunuz. ii) 92 (0, 4) değerini bulunuz. ii) z = f(3 cos(xy), y + e²v) yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. O i) 16, ii) 4, iii) 16x + 4y - z = 12 O i) 16, ii) 4, ii) 16x - 4y - z = 4 O i) 16, ii) 12, iii) 16x + 12y + z = 44 O i) 48, ii) 4, iii) 48x - 4y - z = -36 O i) -32, ii) 12, ii) -32x + 12y + z = -20 O i) 48, ii) -8, iii) 48x -8y - z = -20 O i) - 16, ii) -8, iii) -16x -8y - z = 12 O i) -32, ii) 16, ii) -32x + 16y - z = 12
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + e=) provided that f(3,5) = 4, f1(3, 5) = 2, f2(3, 5) = 4. 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(xy), y + e™ ) at the point (0, 4). Türkçe: f(3, 5) = 4, f1(3,5) = 2, f2(3, 5) = 4 olmak üzere z = g(x, y) = f(3 cos(xy), y + e™v) olsun. i) 91 (0, 4) değerini bulunuz. ii) 92 (0, 4) değerini bulunuz. ii) z = f(3 cos(xy), y + e²v) yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. O i) 16, ii) 4, iii) 16x + 4y - z = 12 O i) 16, ii) 4, ii) 16x - 4y - z = 4 O i) 16, ii) 12, iii) 16x + 12y + z = 44 O i) 48, ii) 4, iii) 48x - 4y - z = -36 O i) -32, ii) 12, ii) -32x + 12y + z = -20 O i) 48, ii) -8, iii) 48x -8y - z = -20 O i) - 16, ii) -8, iii) -16x -8y - z = 12 O i) -32, ii) 16, ii) -32x + 16y - z = 12
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