Let z = g(x, y) = f(3 cos(ry), y + eV) provided that f(3, 5) = 7, fi(3, 5) = 2, f2(3, 5) = 5. i) Find g, (0, 4). ii) Find 92 (0, 4). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + ev) at the point (0, 4). Türkçe: f(3, 5) = 7, fi(3, 5) = 2, f2(3, 5) = 5 olmak üzere z = 9(x, y) = f(3 cos(ry), y + e*") olsun. i) 91 (0, 4) değerini bulunuz. ii) 92 (0, 4) değerini bulunuz. i) z = f(3 cos(ry), y + e") yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. O i) 20, ii) 5, ii) 20x + 5y - z = 13 O i) 20, ii) 5, iii) 20x - 5y - z = -1 O i) 20, ii) 15, ii) 20x + 15y + z = 53 O i) 60, ii) 5, iii) 60x - 5y - z = -47 O i) -40, i) 15, i) -40x + 15y + z = -27 i) 60, ii) -10, i) 60x -10y - z = -27 O i) -20, ii) -10, i) -20x -10y - z = 13 O i) -40, ii) 20, ii) -40x + 20y - z = 13
Let z = g(x, y) = f(3 cos(ry), y + eV) provided that f(3, 5) = 7, fi(3, 5) = 2, f2(3, 5) = 5. i) Find g, (0, 4). ii) Find 92 (0, 4). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + ev) at the point (0, 4). Türkçe: f(3, 5) = 7, fi(3, 5) = 2, f2(3, 5) = 5 olmak üzere z = 9(x, y) = f(3 cos(ry), y + e*") olsun. i) 91 (0, 4) değerini bulunuz. ii) 92 (0, 4) değerini bulunuz. i) z = f(3 cos(ry), y + e") yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. O i) 20, ii) 5, ii) 20x + 5y - z = 13 O i) 20, ii) 5, iii) 20x - 5y - z = -1 O i) 20, ii) 15, ii) 20x + 15y + z = 53 O i) 60, ii) 5, iii) 60x - 5y - z = -47 O i) -40, i) 15, i) -40x + 15y + z = -27 i) 60, ii) -10, i) 60x -10y - z = -27 O i) -20, ii) -10, i) -20x -10y - z = 13 O i) -40, ii) 20, ii) -40x + 20y - z = 13
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) :
i) Find g, (0, 4).
f(3 cos(ry), y + e") provided that f(3, 5) = 7, fi(3, 5) = 2, f2(3, 5) = 5.
%3D
%3D
ii) Find 92 (0, 4).
ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e") at the point (0, 4).
Türkçe: f(3, 5) = 7, fi(3, 5) = 2, f2(3, 5) = 5 olmak üzere z = 9(x, y) = f(3 cos(ry), y + e*") olsun.
i) g1 (0, 4) değerini bulunuz.
ii) 92 (0, 4) değerini bulunuz.
in) z = f(3 cos(ry), y + e") yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz.
%3D
O ) 20, ii) 5, ii) 20x + 5y - z = 13
O i) 20, ii) 5, ii) 20x - 5y - z = -1
O ) 20, ii) 15, ii) 20x + 15y + z = 53
O i) 60, ii) 5, ii) 60x - 5y - z = -47
O i) -40, i) 15, i) -40x + 15y + z = -27
i) 60, ii) -10, i) 60x -10y - z = -27
O i) -20, ii) -10, i) -20x -10y - z = 13
O i) -40, ii) 20, i) -40x + 20y - z = 13
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