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Let z = g(x, y) = f(3 cos(xy), y + ev) provided that f(3,6)= 7, f₁(3,6) = 2, f₂(3,6)= 5. i) Find g₁ (0,5). ii) Find 9₂ (0,5). iii) Find the equation of the tangent plane to the surface = f(3 cos(xy), y + e*") at the point (0,5).

Let z = g(x, y) = f(3 cos(xy), y + ev) provided that f(3,6)= 7, f₁(3,6) = 2, f₂(3,6)= 5. i) Find g₁ (0,5). ii) Find 9₂ (0,5). iii) Find the equation of the tangent plane to the surface = f(3 cos(xy), y + e*") at the point (0,5).

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 + ey) provided that f(3, 6) = 7, f₁(3, 6) = 2, f₂(3, 6) = 5. i) Find g₁ (0,5). ii) Find g₂ (0,5). iii) Find the equation of the tangent plane to the surface = f(3 cos(xy), y + ey) at the point (0,5). Türkçe: f(3,6)= 7, f₁(3,6)=2, f₂(3, 6) = 5 olmak üzere z = g(x, y) = f(3 cos(xy), y + ev) olsun. - i) 91 (0,5) değerini bulunuz. ii) 92 (0,5) değerini bulunuz. iii) z = f(3 cos(xy), y + eu) yüzeyine (0,5) noktasında teğet düzlemin denklemini bulunuz. Oi) 25, ii) 5, iii) 25x + 5y -z = 18 Oi) 25, ii) 5, iii) 25x - 5y-z = 4 Oi) 25, ii) 15, iii) 25x + 15y + z = 68 Oi) 75, ii) 5, iii) 75x - 5y-z = -57 Oi) -50, ii) 15, iii) -50x + 15y + z = -32 Oi) 75, ii) -10, iii) 75x-10y-z = -32 Oi) -25, ii) -10, iii) -25x-10y -z = 18 Oi) -50, ii) 20, iii) -50x+ 20y-z = 18
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + ey) provided that f(3, 6) = 7, f₁(3, 6) = 2, f₂(3, 6) = 5. i) Find g₁ (0,5). ii) Find g₂ (0,5). iii) Find the equation of the tangent plane to the surface = f(3 cos(xy), y + ey) at the point (0,5). Türkçe: f(3,6)= 7, f₁(3,6)=2, f₂(3, 6) = 5 olmak üzere z = g(x, y) = f(3 cos(xy), y + ev) olsun. - i) 91 (0,5) değerini bulunuz. ii) 92 (0,5) değerini bulunuz. iii) z = f(3 cos(xy), y + eu) yüzeyine (0,5) noktasında teğet düzlemin denklemini bulunuz. Oi) 25, ii) 5, iii) 25x + 5y -z = 18 Oi) 25, ii) 5, iii) 25x - 5y-z = 4 Oi) 25, ii) 15, iii) 25x + 15y + z = 68 Oi) 75, ii) 5, iii) 75x - 5y-z = -57 Oi) -50, ii) 15, iii) -50x + 15y + z = -32 Oi) 75, ii) -10, iii) 75x-10y-z = -32 Oi) -25, ii) -10, iii) -25x-10y -z = 18 Oi) -50, ii) 20, iii) -50x+ 20y-z = 18
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