Let z = g(x, y) = f(3 cos(xy), y + e=v) provided that f(3,4) = 5, f1(3,4) = 2, f2(3, 4) = 5. i) Find g1 (0, 3). ii) Find g2 (0, 3). iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=Y) at the point (0, 3). Türkçe: f(3, 4) = 5, f1(3, 4) = 2, f2(3, 4) = 5 olmak üzere z = g(x, y) = f(3 cos(xy), y + e=") olsun. i) g1 (0, 3) değerini bulunuz. ii) g2 (0, 3) değerini bulunuz. f(3 cos(xy), y + e#y) yüzeyine (0, 3) noktasında teğet düzlemin denklemini bulunuz. O i) 15, ii) 5, i) 15x + 5y - z = 10 O i) 15, ii) 5, iii) 15x - 5y - z = 0 O i) 15, ii) 15, iii) 15x + 15y + z = 40 O i ) 45, ii) 5, iii) 45x - 5y - z = -35 O i) -30, ii) 15, iii) -30x + 15y + z = -20 O i) 45, ii) -10, iii) 45x -10y - z = -20 O i) -15, ii) -10, iii) -15x -10y - z = 10 O i) -30, ii) 20, iii) -30x + 20y - z = 10
Let z = g(x, y) = f(3 cos(xy), y + e=v) provided that f(3,4) = 5, f1(3,4) = 2, f2(3, 4) = 5. i) Find g1 (0, 3). ii) Find g2 (0, 3). iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=Y) at the point (0, 3). Türkçe: f(3, 4) = 5, f1(3, 4) = 2, f2(3, 4) = 5 olmak üzere z = g(x, y) = f(3 cos(xy), y + e=") olsun. i) g1 (0, 3) değerini bulunuz. ii) g2 (0, 3) değerini bulunuz. f(3 cos(xy), y + e#y) yüzeyine (0, 3) noktasında teğet düzlemin denklemini bulunuz. O i) 15, ii) 5, i) 15x + 5y - z = 10 O i) 15, ii) 5, iii) 15x - 5y - z = 0 O i) 15, ii) 15, iii) 15x + 15y + z = 40 O i ) 45, ii) 5, iii) 45x - 5y - z = -35 O i) -30, ii) 15, iii) -30x + 15y + z = -20 O i) 45, ii) -10, iii) 45x -10y - z = -20 O i) -15, ii) -10, iii) -15x -10y - z = 10 O i) -30, ii) 20, iii) -30x + 20y - z = 10
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:Kalan süre 1:11:41
Let z = g(x, y) = f(3 cos(xy), y + e™Y) provided that f(3, 4) = 5, f1(3, 4) = 2,
f2(3, 4) = 5.
i) Find g1 (0, 3).
ii) Find g2 (0, 3).
iii) Find the equation of the tangent plane to the surface z =
point (0, 3).
f(3 cos(xy), y + e=Y) at the
Türkçe: f(3, 4) = 5, f1(3, 4) = 2, f2(3, 4) = 5 olmak üzere
z = g(x, y) = f(3 cos(xy), y + e"Y) olsun.
%3D
6.
i) 91 (0, 3) değerini bulunuz.
ii) g2 (0, 3) değerini bulunuz.
iii) z = f(3 cos(xy), y + e#Y) yüzeyine (0, 3) noktasında teğet düzlemin denklemini
bulunuz.
O i) 15, ii) 5, iii) 15x + 5y - z = 10
о) 15, i) 5, iї) 15х - 5у - z %3D0
о ) 15, i) 15, iil) 15х + 15у + z%3D40
O ) 45, ii) 5, iii) 45x - 5y - z = -35
O i) -30, ii) 15, iii) -30x + 15y + z = -20
О i) 45, i) -10, iil) 45х -10y -z%3D-20
O i) -15, ii) -10, iii) -15x -10y - z = 10
O i) -30, ii) 20, iii) -30x + 20y - z = 10
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