In Exercises I through 8 use the parallelogram law to form the sum and difference of the given complex numbers and then verify the results by direct addition and subtraction. 1. u=2+3, v= 1– 2i. 5.=3+6i, v 4+2i.

Q: 3 lim Z→2 (Z-2)4 ∞

A: We have to find the limit.

Q: Find the complex conjugates for each number below. Please note that the line above the number is the…

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Q: Write the complex number (-1-i)0 in the form x+iy - 8 Ob. 16 -32 d. 32i

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: +=i Divide the complex numbers. Write the quotient as a complex number in standard form. 12-8i 63.…

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Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

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Q: Plot and label each complex number in the complex plane. 1) z = -5i 2) z = -2+i 3) z = 3- i

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Q: 3. Sketch the complex number -3 + 7i as a vector on the provided axes. Use your sketch to help you…

A: Here the given complex number  Now draw the graph on xy-axis as shown below

Q: Reduce the quantity below to a complex number a + ib where a, b ER: 1 + 2i 3 - 4i + 1- i 1 + 2i +(3…

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Q: 1. Write the complex number 2+ iv3 in the form of reio . (2 Marks)

A: Here we first find modulus and arg then convert this into polar form

Q: Which complex number is equivalent to (7– 9i) – (-1+3i) ? A 6 6i 6 12i 8 6i D D 8- 12i B C.

A: On solving, we get

Q: 1. Write the complex number 2 + iv3 in the form of rete

A: We have to solve given problem:

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

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Q: a

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Q: 1. Write the complex number i+= in the form of rele V3

A: The polar form of complex number  is    , where     and  and .

Q: If a = 2 + 10i, b = 4 – i, determine a²b³. Use all the roots of complex number b.

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Q: 7. Plot the complex number 3 - 6i

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