12. Given (i) : (ii) (z4)*(z2)³ where z2 = -1+ v3i and z4 = 3i. i Write the complex numbers given in polar form. ii Do the required calculations and give your answer in a + ib form.

Q: 3/2 – 3V2i in Express the complex number z = polar form r cis 0. Select the correct answer below: 5л…

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Q: 3- where a is a complex number 1³ + axy² + 1 + iv(r,y) dz 22 |z|=1

A: Let the function fz be analytic on and inside a positively oriented simple closed contour C and z is…

Q: Express the complex number z = 6 in polar form r cis 0.

A: given,          z=6

Q: -4/2 – 4V2i Express the complex number z = in polar formr cis 0.

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Q: For the complex numbers z=8(cos 70° + isin 70°) and w=5(cos 210° + isin 210°), find the following.…

A: We know, for multiplying two complex numbers in polar form, we just need to multiply the moduli and…

Q: 4. Evaluate and convert into polar form. √√2+ = = = 3 2i -√8-2²/1 3

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Q: Q4) a) Find the polar form and represent graphically the complex number 7-5j b) Express…

A: We have to find Polar Form of Complex Number 7-5j We have to express 3cos232°+jsin232° in…

Q: 7) Convert the complex number, 3-5i, nto polar form, Show your work.

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Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in…

A: Given:…

Q: Find the quotient z1/z2 of the complex numbers z1 = 12(cos 3π/4 + i sin3π/4) and z2 = 4(cos π/4 + i…

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Q: Convert the given complex numbers to the required equivalent form: 1. 62 + j25 into polar form Ans.…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: Let z be a complex number with |z = 11 and let z0 = 17 – 20i. What is |z – z0| + |z+ zo|??

A: Given:- Let z be complex number with |z| =11 and z0 =17 -20i  To find:- value of |z - z0 |2 +  |z…

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos π/5 + i sin π/5)and z2 = 4(cos π/10 + i…

A: Given:         z1 = 3(cos π/5 + i sin π/5)  and        z2 =  4(cos π/10 + i sin π/10)

Q: 1. Use Cauchy – Reimann Equations to identify if it is differentiable or not, if yes then…

A: We  are given : f(z)=z4 f(z)=u+iv and z=x+iy ⇒u+iv=x+iy4 ⇒u+iv=(x4+y4-6x2y2)+i(4x3y-4xy3)On…

Q: 3 What are the solutions to x³ = -2 – 2i in polar form?

A: The complex number is x3 = - 2 -2i

Q: If X = 3 - j2     and    Y = 3 + j2   convert your pair of complex numbers to polar form

A: For X=3-j2:

Q: The polar form of complex number

A: In this question, we have to write the polar form of the complex number

Q: 1 a. Showing all 9r2 = (1 + 3r cos 0)². b. Express 9r2 = (1 + 3r cos 0)² in rectangular coordinates.…

A: a. Consider the equation: r=13-3 cos θ

Q: 2. For the following complex numbers; perform the indicated operations. Expressresultsin rectangular…

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

Q: Find the quotient z1/z2 of the complex numbers z1 = 50(cos 4π/3 + i sin 4π/3) and z2 = 5(cos π/3 + i…

A: Find the quotient z1/z2 of the complex numbers .

Q: Express the complex number z =-8 in polar form r cis 0.

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Q: b) Prove complex numbers z1=3/2z-315° and z2=3+j3 are equal. c) For complex numbers z1= 10260° and…

A: Topic = Complex number  As per guidelines,  only three sub-parts of a question can be answered.…

Q: 137 COS 18 13T 4( cos +i sin ) and 37), express the result of z1 z2 in rectangular Given the complex…

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Q: 2. For the following complex numbers; perform the indicated operations. Expressresults in…

A: Given:…

Q: 2. Find the Cartesian (x+iy) form of this complex number 3π 3π Z=4(cos + 2 isin 377)

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Q: 2Q: Express the complex number z = -2√√4 +11i in polar form and also represent it graphically. Hence…

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Q: 1. Use Cauchy - Reimann Equations to identify if it is differentiable or not, if yes then…

A: As  many questions are given , I will solve only one : We have : f(z)=z4Let z=x+iy and…

Q: 1. 1. Define: u(x,y) is harmonic. Explain how this is relevant to complex variables.

A: Define u(x,y) is harmonic , complex variables

Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2 - i,z3 = -V3 – 3i and z4 = 4 + 4i 3.1 Represent the…

A: We have to solve given Questions

Q: 1. For the complex numbers: 21 = v2 – i, z2 = 1 – iv2. Find the polar and exponential form of the…

A: given: z1=2-i z2=1-i2 we have to find the polar form and exponential form of the complex number…

Q: Find the quotient z1/z2 of the complex numbers z1 = 3(cos 5π/18 + i sin 5π/ 18) and z2 = 10(cos π/16…

A: Given two complex numberz1 = 3cos5π18 + i sin5π18z2 = 10cosπ16 + i sinπ16

Q: hich of the following is equivalent to (3 +3i/3)"? (Hint: You may want to convert the complex number…

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Q: Find the powers of the complex number in polar form. Find z3 when z= 4 cis(65°).

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Q: 2Q: Express the complex number z=- = -2/4 +7i in polar form and also represent it graphically. Hence…

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Q: z = v3 - i, and let w = 6 (cos () + i sin COS | a.) Write z in polar form. b.) Find zw. Write your…

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Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1- j2) j 2- j3 5z 1+…

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Q: Express the complex number z = –1 – V3i in polar form r cis 0. Select the correct answer below:

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Q: Q3 Put the complex number Z = 18 + 26i in the "polar" form Z = rele where r, 0 ER and both r and 0…

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Q: Put the following complex number V3 + 4 1 -- 4 into polar form.

A: We have to find the polar form

Q: z = r(cos 0+isin 0).

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Q: 2.1 Given the complex number z=3-j. 2.1.1 Show z on an Argand diagram. 2.1.2 Rewrite z in polar…

A: As per guidelines we are supposed to solve the maximum first question at a time. kindly post another…

Q: Convert the complex number 4(cos(30°) + j sin(30°)) = Z from trigonometric form to rectangular form.…

A: The trigonometric form for a complex number is : z=r(cos θ+ jsin θ) . The rectangular form for a…

Q: Find all 10 complex solutions in polar form to z^10-8z^5+64=0.   Help me fast so that I will give…

A: Given an equation, z10-8z5+64=0. To determine the 10 complex solutions of the given equation. Let…

Q: = 2√√5 +11i in polar form and also represent it graphically 2Q. Express the complex number z = Hence…

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Q: Express the complex number z = 8 cis 300° in rectangular form a + bi. Select the correct answer…

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Q: Find the quotient z1/z2 of the complex numbers z1 = 5(cos 4π/3 + i sin 4π/3)z2 = 10 (cos π/3 + i sin…

A: Given,   z1=5(cos4π3+i sin4π3)  andz2=10(cosπ3+i sinπ3) To find quotient z1z2: We know that,…

Q: what is the phase in degrees (with respect to the +x axis) when dividing two complex numbers, Z1/Z2?…

A: We have to find the phase in degrees when dividing two complex numbers Z1/Z2 . Where ,…

Q: 2(2) A complex number z = v2(cos+i sin ), find In ( Z.Z' )

A: z = √2(cosπ/4 + i sinπ/4)  z = √2(1/√2 +i/√2 )  z = (1+i)  z* = 1-i