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Let z = g(x, y) = f(3 cos(cy), y + ey) provided that f(3,5) = 8, fi(3,5) = 2, f2(3, 5) = 3. i) Find g1 (0, 4). ii) Find g, (0, 4). iii) Find the equation of the tangent plane to the surface 2 = f(3 cos(ry),y + e#) at the point (0, 4).

Let z = g(x, y) = f(3 cos(cy), y + ey) provided that f(3,5) = 8, fi(3,5) = 2, f2(3, 5) = 3. i) Find g1 (0, 4). ii) Find g, (0, 4). iii) Find the equation of the tangent plane to the surface 2 = f(3 cos(ry),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(cy), y + ey) provided that f(3, 5) = 8, fi(3, 5) = 2, f2(3, 5) = 3. i) Find g1 (0, 4). ii) Find g2 (0, 4). i) Find the equation of the tangent plane to the surface f(3 cos(ay), y + e) at the point (0, 4).
Transcribed Image Text:Let z = g(x, y) = f(3 cos(cy), y + ey) provided that f(3, 5) = 8, fi(3, 5) = 2, f2(3, 5) = 3. i) Find g1 (0, 4). ii) Find g2 (0, 4). i) Find the equation of the tangent plane to the surface f(3 cos(ay), y + e) at the point (0, 4).
O i) 12, ii) 3, iii) 12x + 3y - z = 4 O i) 12, ii) 3, iii) 12x - 3y - z = -12 O ) 12, ii) 9, iii) 12x + 9y + z = 28 O i) 36, ii) 3, iii) 36x - 3y - z = -32 O i) -24, ii) 9, ii) -24x + 9y + z = -20 O i) 36, ii) -6, iii) 36x -6y - z = -20 O i) -12, ii) -6, iii) -12x -6y - z = 4 O i) -24, ii) 12, iii) -24x + 12y - z = 4
Transcribed Image Text:O i) 12, ii) 3, iii) 12x + 3y - z = 4 O i) 12, ii) 3, iii) 12x - 3y - z = -12 O ) 12, ii) 9, iii) 12x + 9y + z = 28 O i) 36, ii) 3, iii) 36x - 3y - z = -32 O i) -24, ii) 9, ii) -24x + 9y + z = -20 O i) 36, ii) -6, iii) 36x -6y - z = -20 O i) -12, ii) -6, iii) -12x -6y - z = 4 O i) -24, ii) 12, iii) -24x + 12y - z = 4
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