Compute the plane tangent to the graphs at the indicated points using the given functions. (Let z be the dependent variable. If an answer does not exist, enter DNE.) (a) (0, 0) (1) f(x, у) %3D ху (i) fх, у) - ежу (iii) f(x, y) = x cos(x) cos(y) (iv) (x, y) = (x2 + y2) log(x2 + y2) (b) (0, 1) () fx, у) - ху (ii) f(x, y) = exy (iii) f(x, y) = x cos(x) cos(y) (iv) f(x, y) = (x2 + y?) log(x2 + y?) (с) (0, л) (1) Пх, у) %3D ху () fх, у) - е жу (iii) f(x, y) = x cos(x) cos(y) (iv) f(x, y) = (x2 + y2) log(x2 + y2) (d) (1, 0) (i) f(x, y) = xy (ii) f(x, y) = exy (iii) f(x, y) = x cos(x) cos(y) (iv) f(x, y) = (x2 + y?) log(x² + y²)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Compute the plane tangent to the graphs at the indicated points using the given functions. (Let z be the dependent variable. If an answer does not exist, enter DNE.)
(a) (0, 0)
(1)
f(x, у) %3D ху
(i) fх, у) - ежу
(iii) f(x, y) = x cos(x) cos(y)
(iv) (x, y) = (x2 + y2) log(x2 + y2)
(b) (0, 1)
() fx, у) - ху
(ii) f(x, y) = exy
(iii) f(x, y) = x cos(x) cos(y)
(iv) f(x, y) = (x2 + y?) log(x2 + y?)
Transcribed Image Text:Compute the plane tangent to the graphs at the indicated points using the given functions. (Let z be the dependent variable. If an answer does not exist, enter DNE.) (a) (0, 0) (1) f(x, у) %3D ху (i) fх, у) - ежу (iii) f(x, y) = x cos(x) cos(y) (iv) (x, y) = (x2 + y2) log(x2 + y2) (b) (0, 1) () fx, у) - ху (ii) f(x, y) = exy (iii) f(x, y) = x cos(x) cos(y) (iv) f(x, y) = (x2 + y?) log(x2 + y?)
(с) (0, л)
(1) Пх, у) %3D ху
() fх, у) - е жу
(iii) f(x, y) = x cos(x) cos(y)
(iv) f(x, y) = (x2 + y2) log(x2 + y2)
(d) (1, 0)
(i) f(x, y) = xy
(ii) f(x, y) = exy
(iii) f(x, y) = x cos(x) cos(y)
(iv) f(x, y) = (x2 + y?) log(x² + y²)
Transcribed Image Text:(с) (0, л) (1) Пх, у) %3D ху () fх, у) - е жу (iii) f(x, y) = x cos(x) cos(y) (iv) f(x, y) = (x2 + y2) log(x2 + y2) (d) (1, 0) (i) f(x, y) = xy (ii) f(x, y) = exy (iii) f(x, y) = x cos(x) cos(y) (iv) f(x, y) = (x2 + y?) log(x² + y²)
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