The complex number a) ¹2√2 cis b) ¹/2 cis π 24 25π 24 c) (1 + i)6 d) All the above 2i 1+i 16 is equivalent to

Q: 2. Express the product of (3 - 2i) and (1 + 5i) divided by the product of (5 + 2i) and (-4 - i) in a…

A: Given expression is 3-2i 1+5i5+2i -4-i. Simplify the above expression as follows.

Q: properly labeled Argand diagram w, w, -w, -w, iw, i²w, i³w, i'w and z-2. b) Describe in words the…

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Q: 11. Write the quotient of the complex numbers in the standard form z=x+ iy. 3+i 1-2i

A: If you like the solution then please give it a thumbs up.... The Answer is:           Standard form…

Q: Express e a) 0-e²i b) 0+e²i c) e² - ei c) e² +e²i in a +ib form.

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Q: Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i 1.)26.2 2.)-1 3.)-26.2…

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Q: 4. What is the simplification of the following comple expression (i = -1) 4+3i 1– 3i 13 9. 1 3 A) 10…

A: 4+3i1-3imultiply and divide by…

Q: What is the complex conjugate of the root æ 3i? O a = -3i

A: if a+ ib is the complex then its conjugate root is a-ib

Q: Apply the parallelogram law to get the sum and difference of the following complex numbers. For…

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Q: Use de Moivre’s formula to find the Cartesian form of the complex number  (-2 + 2√3i)7

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Q: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

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Q: 5. Represent the following numbers in the complex plane and express them in Cartesian: a. 23 b. C.…

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