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Let z = g(x, y) = f(3 cos(xy), y + e) provided that f(3,5) = 6, f1(3, 5) = 2, f2(3, 5) = 6. %3D i) Find g1 (0, 4). i) Find 92 (0, 4). iI) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e#Y) at the point (0, 4).

Let z = g(x, y) = f(3 cos(xy), y + e) provided that f(3,5) = 6, f1(3, 5) = 2, f2(3, 5) = 6. %3D i) Find g1 (0, 4). i) Find 92 (0, 4). iI) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e#Y) at the point (0, 4).

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(xy), y + e) provided that f(3,5) = 6, f1(3, 5) = 2, f2(3, 5) = 6. %3D 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(ry), y + e=") at the point (0, 4). Türkçe: f(3, 5) = 6, f1(3, 5) = 2, f2(3, 5) = 6 olmak üzere z = 9(x, y) = f(3 cos(ry), y + e#y) olsun. %3D %3D i) 91 (0, 4) değerini bulunuz. ii) g2 (0, 4) değerini bulunuz. III) 2 = f(3 cos(xy), y + e#v) yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. ) 24, i) 6, i) 24х + бу - z %3D 18 i) 24, ii) 6, iii) 24x - 6y - z = 6 i) 24, ii) 18, ii)24x + 18y + z = 66 ) 72, in) 6, il) 72х - бу-z 3D i) -48, ii) 18, iii -48x + 18y + z = -30 i) 72, ii) -12, iii)72x -12y - z = -30 i) -24, ii) -12, ii) -24x -12y - z = 18 i) -48, ii) 24, iii -48x + 24y - z = 18 = -54
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + e) provided that f(3,5) = 6, f1(3, 5) = 2, f2(3, 5) = 6. %3D 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(ry), y + e=") at the point (0, 4). Türkçe: f(3, 5) = 6, f1(3, 5) = 2, f2(3, 5) = 6 olmak üzere z = 9(x, y) = f(3 cos(ry), y + e#y) olsun. %3D %3D i) 91 (0, 4) değerini bulunuz. ii) g2 (0, 4) değerini bulunuz. III) 2 = f(3 cos(xy), y + e#v) yüzeyine (0, 4) noktasında teğet düzlemin denklemini bulunuz. ) 24, i) 6, i) 24х + бу - z %3D 18 i) 24, ii) 6, iii) 24x - 6y - z = 6 i) 24, ii) 18, ii)24x + 18y + z = 66 ) 72, in) 6, il) 72х - бу-z 3D i) -48, ii) 18, iii -48x + 18y + z = -30 i) 72, ii) -12, iii)72x -12y - z = -30 i) -24, ii) -12, ii) -24x -12y - z = 18 i) -48, ii) 24, iii -48x + 24y - z = 18 = -54
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