and then use the polar forms to perform the division. Leave your answer in polar form. 6+ 5j 3 – 4j

Q: 25. (3 + 4j) (5 – 12j)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: =7sin(2theta) How do I convert this into rectangular form

A: on solving this we get the

Q: A = 2i+3j+5k and B = 3i+6k, Determine the direct cosine of (AXB). %3D %3D

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Q: Select the correct answer. Convert V3 + t to polar form. O A 2cis 2cis OC. 2cis о в. 57 7x O D.…

A: We will use the basic properties of complex numbers to represent it into polar form.

Q: Write  z1 and z2  in polar form. z1 = −sqrt2i,  z2 = −3 − 3sqrt3i z1  =        z2  =…

A: Given: z1=-2iAnd, z2=-3-33i The objective is to find the product i.e., z1z2. Also, to find the…

Q: Use the given complex numbers z and w to find and simplify the following. • z + w       • zw…

A: Dear student, since you have posted multiple sub parts, as per our policy we will answer first three…

Q: Write the following complex number in Polar form: 5+ V4 i Z = 5-6i

A: At first, we will remove the i from the denominator. Then we can write polar form as z = r(cosθ +…

Q: Write the following complex number in Polar form: 5+ V4 i z = 5-6і

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Q: Write z₁ and 2₂ in polar form. Z₁ = -40, Z₂ = √√3+1 Z1 = Z2 = Find the product z₁z2 and the…

A: The given complex numbers,   z1=-40, z2=3+i

Q: Find in polar form: 22 21 = 21cis(135°) 22 = 3cis(75°)

A: Division of complex numbers in polar form: If z1=r1 cisθ1 and z2=r2 cisθ2 then z1z2=r1r2cisθ1-θ2.

Q: Write the following numbers in the polar form re", 0 < 0 < 27: (a) 5 , 0 = r = (b) 8 + 8i r = (c) -8…

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Q: Given the complex numbers z, = 2 + j0.51, zz = -0.4- j0.8, and z3 = 3+j3 find; |21Z2 (Z – 23) +…

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Q: Write the following numbers in the polar form re®, 0 < 0 < 2n: 1 (а) 3 r = (b) 5 + 5i r = 0 (c)…

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Q: If z1 = 13 – 10i and z2 = -15 + 9i, determine the following: (2) (z1 + z2) (Rectangular Form)…

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Q: Find the three cube roots of the following complex number. Write the results in both polar and…

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Q: write z1 and z2 in polar form: Z1=(square root of 2)-((sqaure root of 2)i) Z2=1-i The find the…

A: We will find Z1and Z2 in polar form and all the required product as following.

Q: Divide. 12v2cis () : 3V3cis (플) Drag a value into each box to correctly express the quotient in…

A: Use the formula below to solve this question.

Q: Evaluate the cube root of z = 27 cis (240 degrees) . Then raise them to the cube.

A: According to the given information, it is required to evaluate the cube root of the given function.

Q: Find zw and -. Write each answer in polar form and in exponential form. z = 2-2 i W = V3 - i Th

A:

Q: Add the numbers below. Express the result in polar form. 1.53 /73.33° + 1.13/204.81°

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Q: ne following: The polar form of a complex number z=a+ bi is given by z=r(cos0+ isino), where ris the…

A: This is the question of complex numbers.

Q: Write the following numbers in the polar form re", 0 < 0 < 2r: 1 (a) 3 , 0 = (b) 9 + 9i (c) 3 – 3i =

A: Complex number(a+bi) into polar form  reiθ,   For polar form,     a=r cosθ, b=r sinθ    ⇒r=a2+b2 and…

Q: c) Evaluate in polar form AN(6) 62-4

A:

Q: Find the value of z and w in the following simultaneous equations 3z + 6 = -iw 2z – 4 = w + 2i Also…

A: 3z + 6 = -iw 2z - 4 = w + 2i

Q: Evaluate the quotient, and write the result in the form a + bi.

A: Our Aim is to evaluate the expression below:--3+5i15i-(i)

Q: Divide and write the answer in the form a + 3 – 7i 2 + 5i bi.

A: To write the given expression in the form (a+bi).

Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: Given that z=3+j66+j42+j1j2+7+j10 express it In rectangular form and polar form

Q: 2) 1=13 and fano=

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Q: Find and draw the geometric location of |z – 4i|+|z+ 4i| = 10

A: The equation z-α+z-β=d represent locus of : Ellipse when  α-β&lt;d and length of major axis is d ,…

Q: Bo Im liz) - Re (2) A. -2-2i B. 2+ i C. il1-13 i)5 +i)

A:

Q: Let z₁ = √3+ i and 2₂ = 1 + √√3i. (a) Write z₁ and 2₂ in polar form. (b) Find 2₁22 and 22/2₁.…

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Q: Perform the indicated operation (1 + i)(2 + 2i) and write the result in the standard form a + bi.

A: The given expression is (1 + i)(2 + 2i).

Q: Consider the complex numbers 6v6 11 + V2 3 11 and + 5 W = - = 2 v2 Write in the form reto |wz|

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Q: Write -4 -3i in polar form A) 5 38.87° B) 5 <216.87° 51 323.13° D 51 <143.13°

A: The given problem is to convert the given complex expression in rectangular form to polar form.…

Q: Find the following product, and write the result in rectangular form using exact values. (4 cis…

A:

Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: To express: The complex number in rectangular and polar form. Given: The complex number is…

Q: 14. Find the cosine of ZS 74 24 70 R.

A: Cosine of an angle is defined as the ratio of adjacent side of the Angle to the hypotenuse of the…

Q: 4. The complex numbers u and v are as follows: u = 3cis(1.234) and v = 2cis(2.415). Write the…

A:

Q: 2. Write each complex number in polar form with an argument 0 between 0 and 2n. Do not multiply it…

A: Explained below...

Q: What is the conjugate of - i? 7 o-- 7 4 7 4 Submit Answer

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Q: m the indicated oper 12) (4 + 9i) - (-3 + i)

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Q: Find (1 + i)8 using DeMoivre’s Theorem. Write the answer in rectangular form,a + bi.

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Q: Write the following numbers in the polar form re", 0 < 0 < 27: 1 (a) 3 r = 0 = (b) 6 + 6i r = 0 =…

A:

Q: given z1=8-8i, z2=-5+5i find z1z2 and write the product in polar form

A: Given: The complex number z1=8-8i and z2=-5+5i, To find: The product z1z2 and its polar form.

Q: Write the following numbers in the polar form re", 0 <0 < 2m: (a) 3 (b) 3 + 3i (c) - 2+ 21

A: We have to find the polar form .

Q: Find all complex values of e? isinhz. v. %D

A: Given: Complex value of ez=isinhz

Q: Write z1 and z2 in polar form. Z1 = -/2i, z2 = -4 – 4/3i Z1 = 22 = Z1 and 1. (Express your answers…

A: z1=-2i=z1=0+-2ir1=02+-22=2θ1=tan-1-20=tan-1∞=π2Arg z1=-π2z1=r1eiArgz1=2eiπ2

Q: Fox any Check if Izı+zzl*=" (2, +22) ( Zt +2¢)is true: two Complex numbers Zi and Z2, Simplify 27t…

A: Let z1 and z2 are two complex numbers where let z1= x+iy and z2 = a+ib ∴ z1+z2=x+iy + a+ib⇒ z1+z2 =…