Let z = g(x, y) = f(3 cos(ry), y + ey) provided that f(3, 6) = 6, f₁(3, 6) = 2, f₂(3,6)= 4. i) Find g₂ (0,5). ii) Find 9₂ (0,5). iii) Find the equation of the tangent plane to the surface z = f(3 cos(zy), y+e²") at the point (0,5). Türkçe: f(3,6)=6, f₁(3,6)= 2, f₂(3, 6) = 4 olmak üzere z = g(x, y) = f(3 cos(ry), y + ey) olsun. i) 9₁ (0,5) değerini bulunuz. ii) 92 (0,5) değerini bulunuz. iii) z = f(3 cos(xy), y + e) yüzeyine (0,5) noktasında teğet düzlemin denklemini bulunuz. Oi) 20, ii) 4, iii) 20x + 4y -z = 14 Oi) 20, ii) 4, iii) 20x - 4y - z = 2 Oi) 20, ii) 12, iii) 20x + 12y + z = 54 Oi) 60, ii) 4, iii) 60x - 4y -z = -46 Oi) -40, ii) 12, iii) -40x + 12y + z = -26 Oi) 60, ii) -8, iii) 60x -8y -z = -26 Oi) -20, ii) -8, iii) -20x -8y-z = 14 Oi-40. ii) 16. iii) -40x + 16v - Z=14

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
icon
Related questions
Question
Let z = g(x, y) = f(3 cos(ry), y + ev) provided that f(3, 6) = 6, f₁(3, 6) = 2,
f₂(3, 6) = 4.
i) Find g₁ (0,5).
ii) Find 9₂ (0,5).
iii) Find the equation of the tangent plane to the surface z = f(3 cos (ry), y + ey) at the
point (0,5).
Türkçe: f(3,6)=6, f₁(3,6)= 2, f2(3,6)= 4 olmak üzere
z = g(x, y) = f(3 cos(xy), y + ey) olsun.
i) 9₁ (0,5) değerini bulunuz.
ii) 92 (0,5) değerini bulunuz.
iii) z = f(3 cos(xy), y + ey) yüzeyine (0,5) noktasında teğet düzlemin denklemini
bulunuz.
Oi) 20, ii) 4, iii) 20x + 4y -z = 14
Oi) 20, ii) 4, iii) 20x - 4y -z = 2
Oi) 20, ii) 12, iii) 20x + 12y + z = 54
Oi) 60, ii) 4, iii) 60x - 4y -z = -46
Oi) -40, ii) 12, iii) -40x + 12y + z = -26
Oi) 60, ii) -8, iii) 60x -8y-z = -26
Oi) -20, ii) -8, iii) -20x -8y -z = 14
Oi) -40, ii) 16, iii) -40x + 16y-z = 14
Transcribed Image Text:Let z = g(x, y) = f(3 cos(ry), y + ev) provided that f(3, 6) = 6, f₁(3, 6) = 2, f₂(3, 6) = 4. i) Find g₁ (0,5). ii) Find 9₂ (0,5). iii) Find the equation of the tangent plane to the surface z = f(3 cos (ry), y + ey) at the point (0,5). Türkçe: f(3,6)=6, f₁(3,6)= 2, f2(3,6)= 4 olmak üzere z = g(x, y) = f(3 cos(xy), y + ey) olsun. i) 9₁ (0,5) değerini bulunuz. ii) 92 (0,5) değerini bulunuz. iii) z = f(3 cos(xy), y + ey) yüzeyine (0,5) noktasında teğet düzlemin denklemini bulunuz. Oi) 20, ii) 4, iii) 20x + 4y -z = 14 Oi) 20, ii) 4, iii) 20x - 4y -z = 2 Oi) 20, ii) 12, iii) 20x + 12y + z = 54 Oi) 60, ii) 4, iii) 60x - 4y -z = -46 Oi) -40, ii) 12, iii) -40x + 12y + z = -26 Oi) 60, ii) -8, iii) 60x -8y-z = -26 Oi) -20, ii) -8, iii) -20x -8y -z = 14 Oi) -40, ii) 16, iii) -40x + 16y-z = 14
Expert Solution
steps

Step by step

Solved in 6 steps with 75 images

Blurred answer