I Quotients Evaluate the quotient, and write the result in the form a + bi. 37. 38. 1+i 2 - 3i 39. 5 - i 40. 3 + 4i 1- 2i 10i 41. 1- 2i 42. (2 - 3i)

Q: Write the quotient in the form a + bi. 5+3i/i

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Q: Find the real numbers x and y. 1. X- iy = -2+ 3i Given that Z1 =1-2i & z = 4 + 5i find 2. Z, +z, 3.…

A: We know that  i2  = -1

Q: 37-46 Quotients Evaluate the quotient, and write the result in the form a + bi. 1 38. 1 + i 37. 5 -…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post another…

Q: a+ b)(1+i) Show that where a, b are reals. Hence, %3D (a – bi) (a + bi) a2 + b2 1 find the value of…

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Q: 1+ 3i Evaluate the expression and write the result in the form a + bi. 5i

A: Given expression1+3i5iWe know thati2=-1

Q: Given z=3+2i and w=-4i find the simplified a+bi form of the following a. w - z = b. z/w=

A: z=3+2i and w=-4iTo find:a. w - z b. zw

Q: w +1 (a) If z = -5 – 3i and w = -3 + 2i, find Show all work. Final answer in algebraic z + 3+ i…

A: (a) Answer is -i i.e  0+(-1)i .

Q: Evaluate the quotient, and write the result in the form a + bi. (Simplify your answer completely.)…

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Q: 1- 3i Write31 in the form a + bi. -1+i

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Q: Disicle (Simplify the quotient) write emswer in Standarel form, q+bi, 5ti Iti

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Q: - 3 + 2i Evaluate the expression and write the result in the form a + bi. 2i

A: The given expression is -3+2i2i

Q: Express (-3 - 8i) (-7 + 2i) + († - 3i) in simplest a + bi form 35 points Your answer

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Q: 1- 3i in the form a + bi. Write -1+i

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Q: (1 − i)6   Use de Moivre's Theorem to find the following. Write your answer in standard form.

A: Use de Moivre's Theorem to find the following. Write your answer in standard form.

Q: 6. Using Cauchy's Formula to evaluate 1 dz 2ri Je (4z – 1)(2 – 4)' 2ni being careful about factors…

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Q: Find the product and write the result in standard form. i(5 + 8i)(5-8i) i(5 + 8i){5 - 8i) = (Type an…

A: Please refer the attached image for complete solution.

Q: - 4 Find the distance between u = - 6 and z= - 1 2 9. The distance between u and z is (Type an exact…

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Q: Find the argument of z: = 15 (√3-3i)'s (-1-i)¹⁰ -?

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Q: 64. The complete cardioid r = 2 - 2 sin 0

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Q: Zz = - 10 + 5i and Z2 = 16 - 8i, determine the following: Z,Z2 in rectangular form OMPLETE THE…

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Q: 3) Complex number properties A. Is the following true: |7,72| = |z|||Z2| ? B. Show if ei| = lei#].…

A: consider complex numbers z1 and z2 as z1=r1cosθ1+isinθ1⇒z1=r1 , argz1=θ1z2=r2cosθ2+isinθ2⇒z2=r2 ,…

Q: -3+ 2i valuate the expression 6i and write the result in the form a + bi.

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Q: uv 2. If u = 2- 3i , v = 4+ i and w 2i , evaluate and write the result in the form a + bi %3D

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Q: 1 Quotients Evaluate the quotient, and write the result in the form a + bi. 4 + 6i -3 + 5i 44. 43.…

A: Solution 43: Given that 4+6i3i

Q: Add and simplify. (-5+5i) + (8 + 3i) (-5+5i) + (8 + 3i) = || %3D (Simplify your answer. Type your…

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Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

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Q: Quèstion 2 Write z -5- iz + 3i in a + bi form (x +y- 5)+i(3 –x +y) (x+y- 5) + i(3 – x - y)…

A: z = x + i y

Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

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Q: Subtract and simplify. (2 - i) – (3 + 8i) (2 - i) – (3 + 8i) = (Simplify your answer. Type your…

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Q: Real and imaginary parts Let Re(z) denote the real part of zand Im(z) the imaginary part. Show that…

A: z1+z2≤z1+z2

Q: 1 (a + b)(1 + i) Show that where a, b are reals. Hence, (a – bi) (a + bi) a2 + b2 1 find the value…

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Q: Multiply. (7 + 8i)(6 – 5i) (7 + 8i)(6 – 5i) = (Simplify your answer. Type your answer in the form a…

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Q: Express answer in the form a​ +bi​   ​(2+4i​)^2

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Q: 3 – 3i Evaluate the expression 2i and write the result in the form a + bi.

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Q: Q1: a) Find the 10th power of 3- 2i using De Moiré's theorem and write the answer in the form a +…

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Q: 1. A right- circular cylinder is to be inscribed in a sphere of radius 8 inches. Find the radius and…

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Q: 37–46 ■ Quotients Evaluate the quotient, and write the resultin the form a  bi.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Complex Analysis: Find z such that |cos z|^2 +|sin z|^2 =4.

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Q: I Products Evaluate the product, and write the result in the form a + bi. 27. 4(-1 + 2i) 28. -2(3 –…

A: 27- Given- 4-1+2i To find- The above product and write the result in the form of a+bi.

Q: Divide and express the result in standard form. 9. 5- i (Simplify your answer. Type your answer in…

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Q: Directions: Transform the following equations into standard form. 5. 4x + 3 = x2

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Q: 5. -21 =x + 10x a. Standard form: b. Coefficients: a = c. Discriminant: d. Nature of roots: b= C= e.…

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Q: Evaluate the quotient, and write the result in the form  a + bi.  (Simplify your answer…

A: Given the complex number  To Evaluate the quotient, and write the result in the form a + bi.

Q: B. Trigonometric and Hyperbolic Function of Complex Number. Evaluate the following. Express your…

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Q: Find the quotient 2i/22 in standard form Convert to trig onometric form and find the guotient to…

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Q: 1+ 4i Evaluate the expression 2i and write the result in the form a + bi.

A: Given that: 1+4i2i

Q: 1-Find all solutions of the equation and express them in the form  a + bi.  (Enter your answers as…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Real and Comples: Part! If z = a + bi, find the following quantities in tenns of a and b. (a) Re(z2…

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Q: Quèstion 6 Write z - 5- iz + 3i in a + bi form (x+y-5) + i(3-x +y) (x+y + 5)+ i(3 - x- y) (r- y- 5)+…

A: To write z'-5-iz+3i in the form of a+bi.

Q: ( (5 + j3) + ( 6e 10430'

A: Given: (1)   [ ( 5+j3 ) + ( 6ej12 ) ] 10<30°    (2). ln [ ( 5+j3 ) + ( 6ej12 ) ] - 10<30°