Let z = g(x, y) = f(3 cos(xy), y + e#Y) provided that f(3, 5) = 7, f1(3, 5) = 2, f2(3, 5) = 3. 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™Y) at the point (0, 4). Türkçe: f(3,5) = 7, f1(3, 5) = 2, f2(3,5) = 3 olmak üzere z = g(x, y) = f(3 cos(cy), y + e™y) olsun. i) g1 (0, 4) değerini bulunuz. ii) 92 (0, 4) değerini bulunuz. iii) z : f(3 cos(xy), y + e"y) yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. O i) 12, ii) 3, iii) 12x + 3y - z = 5 O i) 12, ii) 3, iii) 12x - 3y - z = -9 O i) 12, ii) 9, iii) 12x + 9y + z = 29 О) 36, i) 3, ii) 36х - Зу -z %3 -31 O i) -24, ii) 9, iii) -24x + 9y + Z = -19 О) 36, i) -6, ii) 36х -бу - z %3D - 19 о) -12, i) -6, i) -12x -бу - z%3 5 O i) -24, ii) 12, iii) -24x + 12y - z = 5

Let z = g(x, y) = f(3 cos(xy), y + e#Y) provided that f(3, 5) = 7, f1(3, 5) = 2, f2(3, 5) = 3. 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™Y) at the point (0, 4). Türkçe: f(3,5) = 7, f1(3, 5) = 2, f2(3,5) = 3 olmak üzere z = g(x, y) = f(3 cos(cy), y + e™y) olsun. i) g1 (0, 4) değerini bulunuz. ii) 92 (0, 4) değerini bulunuz. iii) z : f(3 cos(xy), y + e"y) yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. O i) 12, ii) 3, iii) 12x + 3y - z = 5 O i) 12, ii) 3, iii) 12x - 3y - z = -9 O i) 12, ii) 9, iii) 12x + 9y + z = 29 О) 36, i) 3, ii) 36х - Зу -z %3 -31 O i) -24, ii) 9, iii) -24x + 9y + Z = -19 О) 36, i) -6, ii) 36х -бу - z %3D - 19 о) -12, i) -6, i) -12x -бу - z%3 5 O i) -24, ii) 12, iii) -24x + 12y - z = 5

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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Question

Let z = g(x, y) = f(3 cos(xy), y + e#Y) provided that f(3, 5) = 7, f1(3, 5) = 2,
f2(3, 5) = 3.
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™Y) at the
point (0, 4).
Türkçe: f(3,5) = 7, f1(3, 5) = 2, f2(3,5) = 3 olmak üzere
z = g(x, y) = f(3 cos(cy), y + e™y) olsun.
i) g1 (0, 4) değerini bulunuz.
ii) 92 (0, 4) değerini bulunuz.
iii) z :
f(3 cos(xy), y + e"y) yüzeyine (0, 4) noktasında teğet düzlemin denklemini
bulunuz.
O i) 12, ii) 3, iii) 12x + 3y - z = 5
O i) 12, ii) 3, iii) 12x - 3y - z = -9
O i) 12, ii) 9, iii) 12x + 9y + z = 29
О) 36, i) 3, ii) 36х - Зу -z %3 -31
O i) -24, ii) 9, iii) -24x + 9y + Z = -19
О) 36, i) -6, ii) 36х -бу - z %3D - 19
О i) -12, if) -6, il) -12х -бу - z %3D 5
O i) -24, ii) 12, iii) -24x + 12y - z = 5

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