Let z = g(x, y) = f(3 cos(xy), y+ e#y) provided that f(3,6) = 6, f1(3, 6) = 2, f2(3, 6) = 5. i) Find g1 (0, 5). i) Find g2 (0, 5). ii) Find the equation of the tangent plane to the surface z= f(3 cos(xy), y + e=³) at the point (0, 5). Türkçe: f(3, 6) = 6, f1(3,6) = 2, f2(3, 6) = 5 olmak üzere z = g(x, y) = f(3 cos(cy), y + e²y) olsun. i) 91 (0, 5) değerini bulunuz. i) 92 (0, 5) değerini bulunuz. iii) z= f(3 cos(xy), y + e²y) yüzeyine (0, 5) noktasında teğet düzlemin denklemini bulunuz. O i) 25, ii) 5, iii) 25x + 5y - z = 19 о) 25, i) 5, i) 25х - 5y -z %3D 7 O i) 25, ii) 15, iii) 25x + 15y + z = 69 O ) 75, ii) 5, iii) 75x - 5y - z = -56 O i) -50, ii) 15, iii) -50x + 15y + z = -31 O i) 75, ii) -10, iii) 75x -10y - z = -31 о) -25, in) -10, if) -25x -10y -z%3D19 O i) -50, ii) 20, iii) -50x + 20y - z = 19
Let z = g(x, y) = f(3 cos(xy), y+ e#y) provided that f(3,6) = 6, f1(3, 6) = 2, f2(3, 6) = 5. i) Find g1 (0, 5). i) Find g2 (0, 5). ii) Find the equation of the tangent plane to the surface z= f(3 cos(xy), y + e=³) at the point (0, 5). Türkçe: f(3, 6) = 6, f1(3,6) = 2, f2(3, 6) = 5 olmak üzere z = g(x, y) = f(3 cos(cy), y + e²y) olsun. i) 91 (0, 5) değerini bulunuz. i) 92 (0, 5) değerini bulunuz. iii) z= f(3 cos(xy), y + e²y) yüzeyine (0, 5) noktasında teğet düzlemin denklemini bulunuz. O i) 25, ii) 5, iii) 25x + 5y - z = 19 о) 25, i) 5, i) 25х - 5y -z %3D 7 O i) 25, ii) 15, iii) 25x + 15y + z = 69 O ) 75, ii) 5, iii) 75x - 5y - z = -56 O i) -50, ii) 15, iii) -50x + 15y + z = -31 O i) 75, ii) -10, iii) 75x -10y - z = -31 о) -25, in) -10, if) -25x -10y -z%3D19 O i) -50, ii) 20, iii) -50x + 20y - z = 19
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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Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y+ e™Y) provided that f(3, 6) = 6, f1(3, 6) = 2, f2(3, 6) = 5.
i) Find g1 (0, 5).
ii) Find g2 (0, 5).
ii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e™y) at the point (0, 5).
Türkçe: f(3, 6) = 6, f1(3, 6) = 2, f2(3, 6) = 5 olmak üzere z = g(x, y) = f(3 cos(xy), y + e=y) olsun.
i) 91 (0, 5) değerini bulunuz.
ii) g2 (0, 5) değerini bulunuz.
iii) z =
f(3 cos(ry), y + e™y) yüzeyine (0, 5) noktasında teğet düzlemin denklemini bulunuz.
о) 25, i) 5, iil) 25x + 5y - z%3 19
O i) 25, ii) 5, iii) 25x - 5y - z = 7
O i) 25, ii) 15, iii) 25x + 15y + z = 69
O i) 75, ii) 5, iii) 75x - 5y - z = -56
i) -50, ii) 15, ii) -50x + 15y + z = -31
O ) 75, ii) -10, iii) 75x -10y - z = -31
о) -25, in) -10, if) -25x -10y -z%3D19
O ) -50, ii) 20, iii) -50x + 20y - z = 19
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