Let z = 2iand a = 1 –.For the first four subquestions (A to D), you need to have z". Remember that whenever you evaluate zº, at that time, work withthe principle value only. The last subquestion (E) is a problem dealing with single valued function.A. Which of the following is true?zª = exp ((1 – i) (In 2 + i 5))| zª = i exp (In 4) [cos (In 2 – ) – i sin (In 2 – )]exp ((1 — i) Log 2і)zª = exp (In 2 + 5) [cos (In 2 – 5) – i sin (In 2 – ;)]za - 5.9054+9.7505 iB. If z° = f (2)then evaluate Re (f (z)) + Im (f (z)) C. If zª = w then what is the value of Im (w) – Re (w)D. What is the value of |z"|?E. Suppose G (z) = e"where z = 2iThis G (z)is a single valued function. Now evaluate In (Re (G)– Im (Gyhich is denoting a Real logarithm.-

Name: Let z = 2iand a = 1 –.For the first four subquestions (A to D), you n
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Description: Let z = 2iand a = 1 –.For the first four subquestions (A to D), you need to have z". Remember that whenever you evaluate zº, at that time, work withthe principle value only. The last subquestion (E) is a problem dealing with single valued function.A

The given value is, z=2i, α=1-i A. We have to find the zα, zα=(2i)(1-i) ≈5.9054+9.7505 i B.…

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Let z = 2iand a = 1 –.For the first four subquestions (A to D), you need to have za. Remember that whenever you evaluate za, at that time, work with the principle value only. The last subquestion (E) is a problem dealing with single valued function. A. Which of the following is true? |2ª = exp ((1 – i) (In 2 + i )) |2ª = i exp (In 4) [cos (In 2 – ) – i sin (In 2 – 4)] - zª = exp ((1 – i) Log 2i) | zª = exp (In 2 + 5) [cos (In 2 – 5) – i sin (In 2 – 5)] za 5.9054+9.7505 i B. If z° = f (2)then evaluate Re (f (z)) + Im (f (z))

Let z = 2iand a = 1 –.For the first four subquestions (A to D), you need to have za. Remember that whenever you evaluate za, at that time, work with the principle value only. The last subquestion (E) is a problem dealing with single valued function. A. Which of the following is true? |2ª = exp ((1 – i) (In 2 + i )) |2ª = i exp (In 4) [cos (In 2 – ) – i sin (In 2 – 4)] - zª = exp ((1 – i) Log 2i) | zª = exp (In 2 + 5) [cos (In 2 – 5) – i sin (In 2 – 5)] za 5.9054+9.7505 i B. If z° = f (2)then evaluate Re (f (z)) + Im (f (z))

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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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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C. If zª = w then what is the value of Im (w) – Re (w)
D. What is the value of |z"|?
E. Suppose G (z) = e"where z = 2iThis G (z)is a single valued function. Now evaluate In (Re (G)– Im (Gyhich is denoting a Real logarithm.
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