Let p : R → C be the map defined by p(x, y) = z, where z =x+ iy, Let f: C- c be the function f(z) = z: and F = o' fp. Which of the following are correct? %3D %3D (a) The linear transformation T(x, y) = y. represents the derivative of F at (x, y). х у The linear transformation T(x, y)=2 (b) represents the derivative of F at (c) (d) (х, у). The linear transformation T(z) = 2z represents the derivative of f at z e C. The linear transformation T(z) = 2z represents the derivative of f only at 0.
Let p : R → C be the map defined by p(x, y) = z, where z =x+ iy, Let f: C- c be the function f(z) = z: and F = o' fp. Which of the following are correct? %3D %3D (a) The linear transformation T(x, y) = y. represents the derivative of F at (x, y). х у The linear transformation T(x, y)=2 (b) represents the derivative of F at (c) (d) (х, у). The linear transformation T(z) = 2z represents the derivative of f at z e C. The linear transformation T(z) = 2z represents the derivative of f only at 0.
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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Transcribed Image Text:Let o : R? → C be the map defined by p(x, y) = z, where z=x+ iy, Let f:C→ C be
the function f(z) =z": and F = o' fp. Which of the following are correct?
%3D
%3D
(a)
The linear transformation T(x,y)%3D
y
represents the derivative of F at
(x, y).
(b)
The linear transformation T(x,y)= 2
represents the derivative of F at
(c)
(d)
(х, у).
The linear transformation T(z) = 2z represents the derivative of f at z e C.
The linear transformation T(z) = 2z represents the derivative of f only at 0.
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