ity. cos+ i sin ))³ the answer in the standard form of a complex number with the real part in the first answer box and the imaginary part in the second answer If the complex number has no real term, enter "0" in the first answer box. If the complex number has no imaginary term, enter "0" in the second ver box. Express your answer to two decimal points, if appropriate.

Q: Simplify the complex number i .45 as much as possible.

A: See solution below

Q: 7. Multiply the following two complex numbers: (4 - 5i)(-2 + 7i)

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Q: z is a complex number.

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Q: 1. Write each ordered pair (complex number) in the form: a + bi. a. (2, 6) b. (-7, -3) c. (5, -2) d.…

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

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Q: Express all answers in Rectangular Form. 1. (1 + j3)z² + (5 + j6)z + 7 – j6 = 0 2. 3z? – (5 – j4) z…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: 1. Z₁ = 1-5i 2. Z₂ = 3 + 2i Z2 3. Z3 = −7+i

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) -…

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Q: 5. i(1 – iv3)(V3+i)

A: Consider i1-i33+i = i1-i33+i= i13+1i+-i33+-i3i= i3+i-3i-3i2= i3+i-3i+3= i23-2i= 23i-2ii= 23i-2i2=…

Q: Express the given complex number in rectangular form (3cjs40) (4cjs80) Answer: a. –6 + 6/3j b 6 +…

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Q: Solve for the solution of the DE: y(4) – 8y"' + 24y" + 32y' + 16y = 0

A: The given differential equation is y(4)-8y'''+24y''+32y'+16y=0

Q: Convert to complex form z3 = 8

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Q: 1. Write the complex number 2 + iv3 in the form of rei0

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Q: a

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Q: Divide. 4+i -2+3i Enter your answer, in standard form for complex numbers, in the box. 4+i -2+3i ||

A: Given

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

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Q: For the given complex numbers: Zı = 4 - 2i and Z2 =-1 +3i, find: 2*Zı - Z2 Select one: a. 5- 5i O…

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