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Verify the following functions f(z) are analytic for all z = x+iy. Use the Cauchy-Riemann conditions (Hint: find a way to express these functions as f(z) = u(x, y) + iv(x, y)). (a) f(2)=e* (b) f(2)=sin(z)

Verify the following functions f(z) are analytic for all z = x+iy. Use the Cauchy-Riemann conditions (Hint: find a way to express these functions as f(z) = u(x, y) + iv(x, y)). (a) f(2)=e* (b) f(2)=sin(z)

Calculus For The Life Sciences
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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 4CR
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Verify the following functions f(z) are analytic for all z = x+iy. Use the Cauchy-Riemann conditions (Hint: find a way to express these functions as f(z) = u(x, y) + iv(x, y)). (a) f(2)=e* (b) f(2)=sin(z)
Transcribed Image Text:Verify the following functions f(z) are analytic for all z = x+iy. Use the Cauchy-Riemann conditions (Hint: find a way to express these functions as f(z) = u(x, y) + iv(x, y)). (a) f(2)=e* (b) f(2)=sin(z)
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