calculate (that would mean writing in a+bi form) i) (i+5) * (1+3i),       ii) ((2i)/(3+4i)) -i

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: Calculate (3 + i)*. Give your answer in a + bi form

A: Consider the complex number, Let,     z=3+i The polar form of the complex number z = a + ib is,…

Q: 7) What are the real and imaginary parts of (1+3i)exp(-ir/4)/(6+8i)?

A: The given complex number,        1+3iexp-iπ4/6+8i

Q: Find the principle root of 8/. (A) 8i = 3 +1 (C) V8i = 3 + 2/ (B) V8i = 23+1 (D) V8i = 2/3 +8i - %3D…

A:

Q: 12. Calculate and write the quotient in a + bi -1+2i form.

A: Given : Analysis 3−1+2i We have, 32i-1 Multiplying and dividing by 2i+1, 32i−1…

Q: IF A= 3i-2j find A.A *

A:

Q: ++8, Express the answer in rectangular form. (2+3i B. Evaluate the expression () - (). 1+2i

A:

Q: 5. Expressed in a + bi form, is equivalent to 3+1 1)- 2- 3)- i 4) 15- 5i -5i

A: Given : 53+i

Q: Express the product of 5iª(-7+ 9i8$) in a + bi form.

A:

Q: Use De Moivre's Theorem to evaluate [-6+ 2i]6

A: Any complex number z=x+iy can be represented as  z=r(cos θ+isin θ) , where r=x2+y2, θ=tan-1 yx.  De…

Q: Express the product of 9i5(2i³ - 3i16) in a + bi form.

A: 9i15(2i3-3i16) =(9i15)(2i3)-(9i15)(3i16) =18i15+3 -27i(15+16) =18i18 - 27i31 Now i=√(-1) i18=-1…

Q: Express 3-i/2+3i  in the form a + bi

A: Rationalise i^2=-1

Q: 3. Find the positive value of real parts of the possible values of z that satisfy the equation: zz +…

A:

Q: Find the rectangular form of 3/2 et* i.e. the a + bi form.

A:

Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: 4z1 – 5z2 (Rectangular Form) COMPLETE…

A: For the complex number, z=x+yi, the real part is x and the imaginary part is y. If two complex…

Q: Calculate (2 – 3i)". Give your answer in a + bi form

A:

Q: Express in a + bi form. 7+i 3 2i

A:

Q: What is the conjugate of - 3 + 4i?

A: Any number of the form a+ib where a and b are real numbers and i=-1 is called a complex number. The…

Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: 4z1 – 5z2 (Rectangular Form) COMPLETE…

A: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: 4z1 – 5z2 (Rectangular Form)

Q: a+bi 26 19) Expressed in form, 2-3i is equivalent to

A:

Q: Find the 2 square roots of 3 - 4j using De Moivre’s Theorem.

A: The given complex number isz=3-4jto find z12

Q: what Is the gimplest form of 5i (1-i) (2-i) (3-i) a. -10i -5/3 C. b. -8i d. -V½

A:

Q: Calculate (2 – i)°. Give your answer in a + bi form

A:

Q: 43 Explain in detail with at least two sentences how to represent the difference of z1 and z2…

A: Given data ÷ Z1=8 - i and Z2=-9 + 2i

Q: given z1=3-i sqrt 5 and Z2=3+i sqrt 5   find Z1/Z2.  simply into a+bi form

A: Given z1=3-i 5 and z2=3+i5

Q: Let z = -4 + 3i and zw = -7- 2i. By showing clear steps, find w in the form of a+bi.

A: Given  z=−4+3izw=−7−2i

Q: Simplify the expression to a + bi form: (1+ 7i) + (4 – 10i) -

A: The given expression is 1+7i+4-10i.

Q: Write the result in the form a + bi. 2-3i 8+i

A: We need to simplify the following. 2-3i8+i So,               2-3i8+iApply complex arithmetic rule:…

Q: Evaluate the complex integral 033.png 2+3i az 2p- bz? +c if a = 9.3, b = 3, and c = 12. Then, find…

A:

Q: Find the rectangular and Euler form (1+2i)² of -12+9i

A:

Q: ☺ Inpolar form, evaluate; 2(3+4i). 3(-344i)

A: .

Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

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: Solve the complex proportions 11/12 • 1 n+12 x+3 7 c+5 3 4 16 4 8 2/3

A: Authoring guidelines:…

Q: Calculate (4 – i)'. Give your answer in a + bi form

A: The formula of the binomial theorem for the expansion of a+bn is given by a+bn=∑k=0nnkan-kbk.

Q: Explain in detail with at least two sentences how to represent the sum of z1 and z2 geometrically,…

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Q: How do I calculate (-4 + 2i)5 and how do I do it in (a + bi) form??

A: Given,           -4+2i5

Q: Given that Z1 =1– 2i, z2 = -3+4i. Find and express it in a +bi Z2 form.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: calculate and write the quotient 4-i/3+2i in the a+bi form

A: Given,

Q: Find the quotient zi lza in standard form. 2= 3-3i, 22=1-i

A:

Q: Find the distance d between 21 1 = (-7- 6i) and %3D z2 = (-15 – 12i). %3D

A: z1=-7-6iz2=-15-12i We can say that the co-ordinates of two points are (-7,-6) & (-15,-12).…

Q: Evaluate and express in rectangular form: (1 + 2i) (4 - 6i^2) *

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Q: 9. Express (3 – 2i)² in a + bi form.

A:

Q: show work

A: The given expression is 2-1+2i

Q: 6. Express the roots of the equation x + 1 = 8(x- 3) in a+ bi form.

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Q: (5) Yz-3-4i, what is in standard form a+ ib?

A: