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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#Y) at the point (0,4)

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#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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O i) 20, ii) 5, iii) 20x + 5y - z = 13 O i) 20, ii) 5, iii) 20x - 5y - z = -1 O i) 20, ii) 15, iii) 20x + 15y + z = 53 O i) 60, ii) 5, iii) 60x - 5y - z = -47 O i) -40, ii) 15, iii) -40x + 15y + z = -27 O i) 60, ii) -10, iii) 60x -10y - z = -27 O i) -20, ii) -10, iii) -20x -10y - z = 13 O i) -40, ii) 20, iii) -40x + 20y - z = 13
Transcribed Image Text:O i) 20, ii) 5, iii) 20x + 5y - z = 13 O i) 20, ii) 5, iii) 20x - 5y - z = -1 O i) 20, ii) 15, iii) 20x + 15y + z = 53 O i) 60, ii) 5, iii) 60x - 5y - z = -47 O i) -40, ii) 15, iii) -40x + 15y + z = -27 O i) 60, ii) -10, iii) 60x -10y - z = -27 O i) -20, ii) -10, iii) -20x -10y - z = 13 O i) -40, ii) 20, iii) -40x + 20y - z = 13
Let z = g(x, y) = f(3 cos(xy), y + e#Y) provided that f(3, 5) = 7, f1(3,5) = 2, f2(3, 5) = 5. i) Find g1 (0, 4). ii) Find g2 (0, 4). ii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + eª³) at the point (0, 4).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(xy), y + e#Y) provided that f(3, 5) = 7, f1(3,5) = 2, f2(3, 5) = 5. i) Find g1 (0, 4). ii) Find g2 (0, 4). ii) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + eª³) at the point (0, 4).
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