that Problem 3. Find the analytic function f(z) = u(x, y) + iv(x, y), given ƒ(2) ===-₁1-2d²-ƒ(0). yu(t) u(z) = √∞ (1 − x)² + y² c) v(x, y) = x + y - 3; dt, _ƒ(z) = — √ √° ₂ dt + i (C real).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 26E: Find derivatives of the functions defined as follows. y=4-5x+2
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Problem 3. Find the analytic function (z) = u(x, y) + iv(x, y), given
that
1
u(C)
de - 70).
1 fo u(t)
yu(t)
u(z) = -- - x)² + y*
dt,
f(2)
-dt + iC
(C real).
c) v(x, y) = x + y – 3;
Transcribed Image Text:Problem 3. Find the analytic function (z) = u(x, y) + iv(x, y), given that 1 u(C) de - 70). 1 fo u(t) yu(t) u(z) = -- - x)² + y* dt, f(2) -dt + iC (C real). c) v(x, y) = x + y – 3;
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