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10. Find all numbers z such that (a) (z + 1)¹ = (1 - i)z¹; (b) e² = −1 - √√3i; (c) sin(z) = 4i; (d) cos(z4) = 0

10. Find all numbers z such that (a) (z + 1)¹ = (1 - i)z¹; (b) e² = −1 - √√3i; (c) sin(z) = 4i; (d) cos(z4) = 0

Advanced Engineering Mathematics
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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10. Find all numbers z such that (a) (z+1)4 = (1 - i)z4; (b) e² = -1 - -√3i; (c) sin(z) = 4i; (d) cos(24) = 0
Transcribed Image Text:10. Find all numbers z such that (a) (z+1)4 = (1 - i)z4; (b) e² = -1 - -√3i; (c) sin(z) = 4i; (d) cos(24) = 0
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