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Let z = g(z, y) = f(3 cos(ry), y + e=") provided that f(3, 5) = 5, fi(3, 5) = 2. f2(3, 5) = 5. i) Find g1 (0, 4). ii) Find 92 (0, 4). iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=") at the point (0, 4).

Let z = g(z, y) = f(3 cos(ry), y + e=") provided that f(3, 5) = 5, fi(3, 5) = 2. f2(3, 5) = 5. i) Find g1 (0, 4). ii) Find 92 (0, 4). iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=") 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) = 5, f1(3, 5) = 2. f2(3, 5) = 5. i) Find g1 (0, 4). i) Find 92 (0, 4). iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=") at the point (0, 4). i) 20, ii) 5, ii) 20x + 5y - z = 15 i) 20, ii) 5, iii) 20x - 5y - z = 5 i) 20, ii) 15, ii) 20x + 15y + z = 55 O i) 60, ii) 5, ii 60x - 5y - z = -45 O i) -40, ii) 15, ii) -40x + 15y + z = -25 O i) 60, ii) -10, i) 60x -10y - z = -25 i) -20, ii) -10, ii)-20x -10y - z = 15 i) -40, ii) 20, ii) -40x + 20y - z = 15
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + e#») provided that f(3, 5) = 5, f1(3, 5) = 2. f2(3, 5) = 5. i) Find g1 (0, 4). i) Find 92 (0, 4). iii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e=") at the point (0, 4). i) 20, ii) 5, ii) 20x + 5y - z = 15 i) 20, ii) 5, iii) 20x - 5y - z = 5 i) 20, ii) 15, ii) 20x + 15y + z = 55 O i) 60, ii) 5, ii 60x - 5y - z = -45 O i) -40, ii) 15, ii) -40x + 15y + z = -25 O i) 60, ii) -10, i) 60x -10y - z = -25 i) -20, ii) -10, ii)-20x -10y - z = 15 i) -40, ii) 20, ii) -40x + 20y - z = 15
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