Given the complex numbers z1 = 5 (cos(139°) + i sin(139°)) and z2 = 2 (cos(-94°) + i sin(-94°)), find the product z1 · Z2. Select the correct answer below: O 5V2 – 5V2i - 0 -꽃+ i 2 2 O 5V2 + 5V2i

Q: Express the complex number -8i in the form R(cos(0) + i sin(0)) = Re0 where R > 0 and 0<o< 2n. NOTE:…

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Q: Write the following complex numbers in the trigonometric form r(cos0+isin 0) with 0 (exact) in…

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Q: Write the following complex numbers in the trigonometric form r(cos0+isin 0) with 0 (exact) in [0°,…

A: 1(a). The given complex number is: z1=12-12i

Q: use the parallelogram law to form the sum and difference of the given complex numbers and then…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Find the magnitude of the resulting complex number, 6 (cos 120°+i sin 120°) x 4(cos 30° +i sin 30°)

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Q: tan¬1(z3) O 1.6293 - 0.3856i O 1.7644 - 0.6938i O 1.3390 + 0.4024i O 1.2969 + 0.5153i

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Q: For the given complex numbers: Z1 = 4 - 2i and Z2 = -1 +3i, find: Z1 - 2 22 Select one: a. 6 - 8i b.…

A: Given thatZ1=4-2iZ2=-1+3i2Z2=-2+6i

Q: In(In z1) O -0.5198 - 0.7636i O 1.4979 - 0.4636i O 1.5680 - 0.8205i 0.4498 - 0.3002i O O O

A: Let z=x+iy be a complex number. The polar form of the complex number is z=reiθ, where r=x2+y2 and…

Q: (z2)8 O 6561 + i -8432 + 5376i O -352 + 936i O -1992 + 2456i O O O

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Q: For the complex numbers w = 81cos 40° + i sin 40°2 and z = 21cos 10° + i sin 10°2, find each of the…

A: (a) part Consider the given complex numbers w=81cos 40°+i sin 40°z=21cos 10°+i sin 10° Since, the…

Q: Z1+Z2 Z3 O -2- 6i O -1-i O 1-3i O 2- 6i

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Q: Given the two complex numbers: z1 = 6(cos π/2 + i sin π/2) and z2= 3/2(cos π/4 + i sin π/4) Find the…

A: we have to find

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: For the complex numbers w = 7 + -6 i • z = 4 - 5 i Enter the absolute value of 2w 3z in the space…

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Q: Find the complex conjugates for each of the following numbers: a. -18: %3D b. 1li %3D c. 14 + 33i…

A: Topic - complex conjugate . In comlex conjugate of complex number ,sign of complex part (i part) is…

Q: 1. Find the following products of complex numbers a. (2 + 3i)(4 – 2i) c. (-1 – 2i)(2 + i) b. (2 –…

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Q: Solve the following complex numbers: z1 = 5+3i ; 22 = 4+5i ; 23 = 3-i a. The product of Z1 z2 b. The…

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Q: Given the complex numbers Z1 12 cis 203° ar 4 cis 53°, find the quotient . Z1 z2 = Z2 Select the…

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Q: 6(cos120deg +i sin120deg) x 4(cos30deg +i sin30deg)

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

A: It can be calculated as given below:_

Q: 6i

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Q: Find all cube roots of the complex number. Leave answers in trigonometric form. - 125 i O A. 5 cis…

A: First, we convert it to the polar form

Q: Find the product in the complex plane 1/4(cos Pi/6 +i sin pi/6) + 8 (cos pi/6 + i sin pi/6)

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Q: 4. What is the rectangular form of the complex number 7.2e(7a/13)i? c. 7.15 – 0.87i a. -0.87 + 7.15i…

A: Note: As per bartleby guidelines for more than one questions asked, only one question is to be…

Q: Given the complex numbers z = 9+7 i and w = -9 – 9 i, calculate: i) 3 z = ii) w2 iii) 3 z – 2 w =…

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Q: For the given complex numbers: Z1 = 3- 2i and Za = -1 +3i, find: 2"21 - 22 Select one: O a.7-6i O…

A: To find The value of 2z1-z2

Q: Given the following complex numbers, find: x = 4 + 5i y = 6 - 3i z = 4 + 4i a. the product of x*…

A: Let's find.

Q: Write the following complex number in Cartesian, Polar and Exponential form. VZ+ V6i -1+ v3i

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Q: Solve the following complex numbers: Z1 = 5+3i; Z2 = 4+5i ; Z3 = 3-i 1. The product of Z1*Z2 2. The…

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Q: Express the following complex numbers in the form of re". a) z=-1-3i b) p=| 4(cos - i sin ") 3 3 c)…

A: Using exponential form.   As per our guidelines we are supposed to answer?️ only first 3 question.…

Q: Convert the Complex number 10V3- 10i to trigonometric form: r(cos(0) + i- sin(0)).

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Q: (3.0642+2.5712i)(-2.0806+4.5465i)

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Q: Let the left complex number be z1 and the right complex number be z2. +i sin- 43 - 4i 8 cos a) Write…

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Q: Simplify the complex number z = j(-1+ j) and plot the result on your Argand diagram. Then, find the…

A: Given :           z = j(-1 + j)        To simplify z and to plot the result on Argand diagram.…

Q: Apply the parallelogram law to get the sum and difference of the following complex numbers. For…

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Q: What is the result of multiplication of complex numbers -V3 + i and (cos + i sin ) ? A)1(cos 뚫 +isin…

A: We have to multiply the given complex numbers . The solution is following

Q: Given the complex numbers 5 (cos(92°) + i sin(92°)) and 2 (cos(-92°) + i sin(-92°)), find the…

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Q: Find the product of the complex numbers z1 = 6(cos 40° + i sin 40°) and z2 = 5(cos 20° + i sin 20°).…

A: Given  z1 =6cos 40° + i sin 40° z2 =5cos 20° + i sin 20°

Q: Given the complex numbers z1 = 20 (cos(52°) + i sin(52°)) and z2 = 5 (cos(39°)+i sin(39°)), find the…

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Q: What is the result of multiplication of complex numbers -V3 + i and (cos + i sin .)? 57

A: Given complex numbers are -3+i, 18cos5π3+isin5π3

Q: Find the magnitude of the resulting complex number, 6 (cos 120° +i sin 120°) x 4 (cos 30° + i sin…

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Q: Find the square roots of the complex number 16i (hint: there will be two) (hint 2: convert to…

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Q: 4. Multiply and Divide the following complex numbers, give your answers in rectangular form z = 12…

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Q: VzI (k=1) O 4.3525 - 1.0275i O -4.3525 + 1.0275i O 2.0582 - 0.4859i -2.0582 + 0.4859i

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Q: For the given complex numbers: Zı = 4 - 2i and Z2 =-1 +3i, find: 2*Zı - Z2 Select one: a. 5- 5i O…

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Q: Consider the following. Square roots of 16(cos 90° + i sin 90°) (a) Use the formula zk = V Vi( cos 0…

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Q: Express the complex number equation below into exponential form. 2i (3 + i) (1 + iv3) = -8 2e# )…

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Q: Write the following complex number in Cartesian, Polar and Exponential form. V2 + V6i -1+ V3i

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

Q: Find the quotient and write the result in standard complex form: 4. (cos 250° + i sin 250°) 7. (cos…

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