Let z = g(x, y) = f(3 cos(xy), y + e") provided that f(3, 4) = 7, f1(3, 4) = 2, f2(3, 4) = 3. i) Find g1 (0, 3). %3D %3D ii) Find 92 (0, 3). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=") at the point (0, 3). O i) 9, ii) 3, ii) 9x + 3y - z = 2 O i) 9, ii) 3, ii) 9x - 3y - z = -12 O i) 9, ii) 9, i 9x + 9y + z = 20 O i) 27, ii) 3, ii) 27x - 3y - z = -25 O i) -18, i) 9, iii) -18x + 9y + z = -16 O i) 27, ii) -6, iii) 27x -6y - z = -16 O i) -9, ii) -6, iii) -9x -6y - z = 2 O i) - 18, ii) 12, iii) -18x + 12y - z = 2
Let z = g(x, y) = f(3 cos(xy), y + e") provided that f(3, 4) = 7, f1(3, 4) = 2, f2(3, 4) = 3. i) Find g1 (0, 3). %3D %3D ii) Find 92 (0, 3). ii) Find the equation of the tangent plane to the surface z = f(3 cos(ry), y + e=") at the point (0, 3). O i) 9, ii) 3, ii) 9x + 3y - z = 2 O i) 9, ii) 3, ii) 9x - 3y - z = -12 O i) 9, ii) 9, i 9x + 9y + z = 20 O i) 27, ii) 3, ii) 27x - 3y - z = -25 O i) -18, i) 9, iii) -18x + 9y + z = -16 O i) 27, ii) -6, iii) 27x -6y - z = -16 O i) -9, ii) -6, iii) -9x -6y - z = 2 O i) - 18, ii) 12, iii) -18x + 12y - z = 2
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#v) provided that f(3,4) = 7, f1(3, 4) = 2, f2(3, 4) = 3.
i) Find g1 (0, 3).
ii) Find g2 (0, 3).
i) Find the equation of the tangent plane to the surface z = f(3 cos(xy), y + e²v) at the point (0, 3).
O i) 9, ii) 3, iii) 9x + 3y - z = 2
O i) 9, ii) 3, iii) 9x - 3y - z = -12
O i) 9, ii) 9, iii) 9x + 9y + z = 20
O i) 27, i) 3, ii) 27x - 3y - z = -25
O i) -18, ii) 9, iii) -18x + 9y + z = -16
O i) 27, ii) -6, iii) 27x -6y - z = -16
O i) -9, ii) -6, ii) -9x -6y - z = 2
O i) -18, ii) 12, iii) -18x + 12y - z = 2
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