4. z, = 2+3i z, =3+2i z, =a+bi. a) Find the value of |2, + z|- b) Given that w =11 find in terms of a and b, giving your answer in the form x+ yi.

Q: . Expand and simplify the expression dada bile yd betwee (cos+isin)³ Express the answer in standard…

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Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: Use De Moivre's Theorem to find (-2-2√3 i)². Put your answer in standard form.

A: Step 1Complex number has two basic forms, one is rectangular form and other is polar…

Q: Write 1/ (3 + 4i ) in standard form a + bi; that is, find the reciprocal of 3 + 4i.

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Q: 2+i/3-i Write in a+bi form please

A: We have to find a+ib form of the

Q: -2i -3 + 8i

A: Answer is mentioned below

Q: Let= A+ iB. Calculate 1) the real and imaginary parts of (2-B)(A/C), real , imag =

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Q: Q1) Find modZ and ArgZ for the complex numbers given below: 1+i√2 1-i√2 2 2+i a) Z= b) Z= +2-i

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Q: Use the value of the discriminant, b² - 4ac, to determine the number and type of roots for x²-3x+7=0…

A: We have to use the value of the discriminant, b²-4ac, to determine the number and type of roots for…

Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

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Q: 5 √O r=1+3 cos(30) (-/-) r= - r = 5 sin V r = 0 sin(0) a. + T b. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬ a 5. 9 Q

A: Consider the polar equations 1.

Q: 1. Solve the following equations. a) (7+2/)+(4-3) b) (5-2/ (2-)(4+2) d) 2- 1+2 e) 21-3 2. Find x in…

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Q: Use the statement to answer the following question. (-5 + 2i) – (5 – bi) = -10 + 3i Which value for…

A: Given: -5+2i-5-bi=-10+3i

Q: 3) Find all the roots of the following equations z = √1-i 14 b) c) Z - i z = z = 964

A: a)

Q: If z₁ = 5-i, z₂ = 1-2¡ then evaluate 32₂ +22₁-5- z, 2z, -3z₂ +3-i

A: Use complex number concept

Q: When 3+4i / 2+i is expressed in the form a + bi, what is the value of a?

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Q: Find wa+bi = = where a and b are real numbers. 21+20i W ☐, W

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Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: If 2-a-5i/(1-bi) = 3 - 5i, find a and b

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Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

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