1. Given the following complex numbers: z = 2 - j, zz = -3 + j4, z3 = -5- j6, z4 = 2+ j3 Determine: (z - z2)(z3 + Z4) Z,(Z3 - 24) a. In rectangular form: z = x+ jy = Re(z) + jlm(z) (5 pts) b. In Polar form: z =r< 0 (5 pts) c. In Exponential form: z = ree (5 pts) For the answer for exponential form, just write the "r,0". Example: z = le/0.143, please write it as 1,0.143 in the google form. %3D (NO SPACES, as stated in the general directions)

Q: 4. -5 Vi + 1/3 5. - V8 - 2i/3 V3 - 10i 6. + 5i

A: Polar form of a complex number z=x+iy is  z=rcosθ+i sinθwherer=x2+y2andθ=tan-1yx

Q: 3. Express the following complex numbers in polar form. b) V3 – i а) —1+i

A: polar form  r (cos t + i sint) If x+iy is complex number then  r^2 = x^2+ y^2

Q: Vz + i/3 V3 - 10i 5. 6. -V8 – 21/3 -V3 + 5i

A: The given problem is to evaluate and simplify the given complex expression and graph the following…

Q: 21 in polar form. The angle is in degrees. 22 Find z1 = 10 cis (141) and z2 = 13 cis (99) cis Z1 22

A: solution

Q: Put the following complex number 1 3 3 3 into polar form. Choose the correct answer from the…

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Q: Write z1 and z2 in polar form, and then find the Z1 quotient if: Z2 z1 = (2/5+2i/5) z3 = (2+2i}

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Q: 1. If (x and jy) = 3 + j8, find x and y. x = 2.40 and y = 1.67

A: According to policy we are allowed to do one question. Image is attached with solution.

Q: 2. Given z (22 + m) + 4i and 2= -6 - (8 + n)i. Find w and write it in polar form

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Q: 1. Change to polar form, then evaluate: -x-1 х — у dydx V1-x² /x² + y² -1

A: Solution is given below..

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: Express the following Cartesian coordinates in polar coordinates in two ways. (2,-2√3) Select all…

A: Given query is to find polar coordinates.

Q: Consider the two complex numbers Z₁ = ein/4 and Z₂ = e²³π/4 Plot Z₁, Z2, Z₁, and z2 in the complex…

A: The two complex numbers are as follows:To Find:a) Plot  in the complex plane.b)  using polar form.c)…

Q: 2. Write the following complex numbers in polar form. (a) 2', (b) e-. 3. Prove the = e-" where z and…

A: Given that  2) a) 2i b) e-i 4) a) z5=1 b)5z2+2z+10=0

Q: Let z1 =1+jv3 and z2 = v2 - jv2 . Find the product of z1 22 in standard polar form. Answer: a.…

A: Product of two complex numbers

Q: 1. Given the following complex numbers: z1 = 2 – j, z2 = -3+ j4, z3 = -5 – j6, z4 = 2 + j3…

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Q: ASolve the equation 4x +20= 0 and write the resulting solution in the polar form, rZ0.

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Q: 7.1 + 늘mi -4 + 19i 8. 2 + 5i

A: The given problem is to represent the given complex expression in to polar form and also sketch the…

Q: Two complex numbers are given: Z1 = 5 253.13 , z2= 5 – j a) Find the rectangular form of z, and the…

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Q: 3. 2i, -2i 4. -5 Vz + i/3 5. V8 – 2i/3 V3 – 10i -V3 + 5i 6. -

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Q: Find the x² + y² − 3x − 6y + 14 = 0, - equation of the circle which cuts th x² + y² − x − 4y + 8 = 0…

A: The circle having center at the radical center of the three given circles and radius equal to the…

Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: 6+7i a. 8-i

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Q: A radar, using the polar coordinate system, detects that two airplanes are currently located at…

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Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: Convert the complex number, z=4cis(11/6⋅π) , from polar to rectangular form. (That is 11 over 6…

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Q: From the following rectangular complex number Z-4+3i, Z-2-3i and Z,--5+2i Find the poler form?

A: Given:     z1=4+3i      z2=2-3i      z3=-5+2i For a complex number z, expressed in Cartesian form as…

Q: 1. What is the polar form of (5-jl5) × (8+j6)?

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Q: The Euler representation of a complex number is: 2e(mi)/2 which corresponds to the following polar…

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