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Let z = g(x, y) = f(3 cos(ry), y + e") provided that f(3, 4) = 6, fi(3, 4) = 2, f2(3, 4) = 4. %3D %3D i) Find g1 (0, 3). i) Find 92 (0, 3). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e) at the point (0, 3). Türkçe: f(3, 4) = 6, fi(3, 4) = 2, f2(3, 4) = 4 olmak üzere z = 9(x, y) = f(3 cos(ry), y + e") olsun. i) g1 (0, 3) değerini bulunuz. ii) 92 (0, 3) değerini bulunuz. iii) z = f(3 cos(ry), y + e") yüzeyine (0,3) noktasında teğet düzlemin denklemini bulunuz. O i) 12, ii) 4, iii) 12x + 4y - z = 6 O i) 12, ii) 4, iii) 12x - 4y - z = -6 O i) 12, ii) 12, ii) 12x + 12y + z = 30 O i) 36, ii) 4, iii) 36x - 4y - z = -30 O i) -24, ii) 12, iii) -24x + 12y + z = -18 i) 36, ii) -8, iii) 36x -8y - z = -18 O i) -12, ii) -8, iii) - 12x -8y - z = 6 O i) -24, ii) 16, iii) -24x + 16y - z = 6

Let z = g(x, y) = f(3 cos(ry), y + e") provided that f(3, 4) = 6, fi(3, 4) = 2, f2(3, 4) = 4. %3D %3D i) Find g1 (0, 3). i) Find 92 (0, 3). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e) at the point (0, 3). Türkçe: f(3, 4) = 6, fi(3, 4) = 2, f2(3, 4) = 4 olmak üzere z = 9(x, y) = f(3 cos(ry), y + e") olsun. i) g1 (0, 3) değerini bulunuz. ii) 92 (0, 3) değerini bulunuz. iii) z = f(3 cos(ry), y + e") yüzeyine (0,3) noktasında teğet düzlemin denklemini bulunuz. O i) 12, ii) 4, iii) 12x + 4y - z = 6 O i) 12, ii) 4, iii) 12x - 4y - z = -6 O i) 12, ii) 12, ii) 12x + 12y + z = 30 O i) 36, ii) 4, iii) 36x - 4y - z = -30 O i) -24, ii) 12, iii) -24x + 12y + z = -18 i) 36, ii) -8, iii) 36x -8y - z = -18 O i) -12, ii) -8, iii) - 12x -8y - z = 6 O i) -24, ii) 16, iii) -24x + 16y - z = 6

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(ry), y + ev) provided that f(3, 4) = 6, f1(3, 4) = 2, f2(3, 4) = 4. |3D %3D i) Find g1 (0, 3). i) Find g2 (0, 3). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e") at the point (0, 3). Türkçe: f(3, 4) = 6, f1(3, 4) = 2, f2(3, 4) = 4 olmak üzere z = g(x, y) = f(3 cos(ry), y + ez") olsun. %3D %3D i) 91 (0, 3) değerini bulunuz. ii) 92 (0, 3) değerini bulunuz. iii) z = f(3 cos(xy), y + e#y) yüzeyine (0, 3) noktasında teğet düzlemin denklemini bulunuz. O i) 12, ii) 4, iii) 12x + 4y - z = 6 O i) 12, ii) 4, ii) 12x - 4y - z = -6 O i) 12, ii) 12, ii) 12x + 12y + z = 30 O i) 36, ii) 4, iii) 36x - 4y - z = -30 i) -24, ii) 12, ii) -24x + 12y + z = -18 O i) 36, ii) -8, ii) 36x -8y - z = -18 O i) -12, ii) -8, ii) -12x -8y - z = 6 O i) -24, ii) 16, ii) -24x + 16y - z = 6
Transcribed Image Text:Let z = g(x, y) = f(3 cos(ry), y + ev) provided that f(3, 4) = 6, f1(3, 4) = 2, f2(3, 4) = 4. |3D %3D i) Find g1 (0, 3). i) Find g2 (0, 3). iii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e") at the point (0, 3). Türkçe: f(3, 4) = 6, f1(3, 4) = 2, f2(3, 4) = 4 olmak üzere z = g(x, y) = f(3 cos(ry), y + ez") olsun. %3D %3D i) 91 (0, 3) değerini bulunuz. ii) 92 (0, 3) değerini bulunuz. iii) z = f(3 cos(xy), y + e#y) yüzeyine (0, 3) noktasında teğet düzlemin denklemini bulunuz. O i) 12, ii) 4, iii) 12x + 4y - z = 6 O i) 12, ii) 4, ii) 12x - 4y - z = -6 O i) 12, ii) 12, ii) 12x + 12y + z = 30 O i) 36, ii) 4, iii) 36x - 4y - z = -30 i) -24, ii) 12, ii) -24x + 12y + z = -18 O i) 36, ii) -8, ii) 36x -8y - z = -18 O i) -12, ii) -8, ii) -12x -8y - z = 6 O i) -24, ii) 16, ii) -24x + 16y - z = 6
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