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Let z = x + iy E C. Determine which of the following functions are ENTIRE and which are NOT ENTIRE. Also, determine f'(z) for those entire functions. (a) f(2) = 2³- (b) f(2) = 1H=? 1+|2|2 (c) f(2) = (x² – y²)+2i.xy (d) f(2) = (x² – y²) – 2ixy

Let z = x + iy E C. Determine which of the following functions are ENTIRE and which are NOT ENTIRE. Also, determine f'(z) for those entire functions. (a) f(2) = 2³- (b) f(2) = 1H=? 1+|2|2 (c) f(2) = (x² – y²)+2i.xy (d) f(2) = (x² – y²) – 2ixy

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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Let z = x + iy E C. Determine which of the following functions are ENTIRE and which are NOT ENTIRE. Also, determine f'(2) for those entire functions. (a) f(z) = 23 1 (b) f(2) : = HEP 1+|z[² (c) f(2) = (x² – y²) + 2ixy (d) f(2) = (x² – y²) – 2ixy
Transcribed Image Text:Let z = x + iy E C. Determine which of the following functions are ENTIRE and which are NOT ENTIRE. Also, determine f'(2) for those entire functions. (a) f(z) = 23 1 (b) f(2) : = HEP 1+|z[² (c) f(2) = (x² – y²) + 2ixy (d) f(2) = (x² – y²) – 2ixy
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