a) Calculate these complex numbers and express the results in rectangular form. 322-20° + (6-j8)(4+j2) 20 i) -10+j24 ii) (35245° + 202-30°)/2

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number (-2 - 2i)5. Write answers…

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Q: Write the complex number in polar form with argument 0 between 0 ánd 27. 7/3- 7i

A: Given complex number z=73-i 7 We can represent complex number z=x+iy into polar co-ordinates rcos…

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: In an Argand diagram a set of points representing complex numbers z is defined by the equation |z-…

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Q: Find the fourth roots of the complex number 3i − 7 in exact principal argument form, and plot them…

A: We have the formula for rational root of complex number

Q: Find all the complex fourth roots in rectangular form  w= 49(cos 4pi/3 + i sin 4pi/3)

A: follow next step

Q: Find the roots of the complex number: 27√3 27 2 2 i

A: Given

Q: Write the product of complex numbers in the form a + bi. (3 + 3i)(2 + 4i) =    (6 − 2i)2 =…

A: I²=-1

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given: Let z=-1+i8  To Find: To change the given complex number into a+ib form using De Moivre’s…

Q: In an Argand diagram, O is the origin and the points P and Q represent the complex numbers z1 and z2…

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Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

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Q: B. Find the indicated powers of the given complex number. Express the result in polar form, then…

A: We have to find   -3 + 3i31  and express this result in polar and rectangular form.

Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

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Q: Find the midpoint of the line segment joining the points corresponding to the complex numbers in the…

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Q: Use DeMoivre’s theorem to find (–√3/2 +i/2)12. Express your answer in complex form.

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Q: Find the product of the complex numbers z1 = 1 + i and z2 = -1 + i. Leave answers in polar form.

A: z1=1+i  &  z2=-1+i

Q: Express the given complex number in polar and rectangular forms. 10.0 e 1.20j

A: We have to write polar and rectangular form of given complex number:

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

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Q: The complex number (−9+7i)/(9+5i) rewritten in Cartesian form is?

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Q: 12. Write the complex number -4 + 4i in polar and exponer

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Q: Find the quotient (2 - 3i)/(3 + 4i) , and express the result in the standard form of a complex…

A: We have given quotient 2-3i3+4i Then,…

Q: The magnitude of the complex number esin(teta)+jcos(teta) is

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Q: Given a complex number z = 4+ 5i, determine the real and imaginary part of z. %3D Real = Imaginary =

A: Solving the problem by finding the real and imaginary part.

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: 3+3i5 Consider, z=3+3i Now, z=32+32=32&θ=tan-1yx=tan-133=tan-11=π4 Now trigonometric form is,…

Q: find the square of the complex number 2 -2i and write the answer in a form a + bi where as a and b…

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Q: 2. Identify the conjugate of each complex number, then plot both complex numbers and their…

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Q: Find the roots of the given complex number 1. z^5 = 4i

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Q: Use de Moivre's formula to find the Cartesian form of the complex number (-1+iv3) *".

A: The given complex number is                                      -1+i3-7 De Moivre's formula:…

Q: Take the last four digits ABCD of your student identification number, and let z1 = A + Bi and z2 = C…

A: We will be taking the last 4 digits as ABCD. Let z1 = A + Bi and z2 = C + Di be the corresponding…

Q: Find the distance between the complex numbers in the complex p 1 + 7i - 1 + 5i

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Q: An engineer wants to determine the distance d of the two complex number in the complex coordinate…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the quotient z1/z2 of the complex numbers.Leave answers in polar form.Express the argument as…

A: Given, z1=2+2iz2=1+i

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: Find the indicated powers of the given complex number. Express the result in polar form, then…

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Q: divide the complex numbers and express your answer in form (a+bi) 3-4i/8+2i

A: The given complex number is 3-4i8+2i

Q: Write the complex number in polar form with argument 0 between 0 and 2m. -VZ+ V6i

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Q: Find three cube roots for the complex number. Leave your answers in trigonometric form. - 323 - 32i…

A: We know that a complex number x+iy can be expressed in polar form as reiθ, where r=x2+y2 and…

Q: 1. Write the complex number 2+ iv3 in the form of reie

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Q: Find the four fourth roots for the complex number: v2 + v2i

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Q: Find all the complex fourth roots in rectangular form of w=16(cos 5pi/6 + i sin 5pi/6)

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Q: If a = 2 + 10i, b = 4 – i, determine a²b³. Use all the roots of complex number b.

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Q: Express the given Cartesian complex numbers in polar form. A. 2+J3 b. -4 c. -6+J

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Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given complex number is: Let us consider, r cos θ=22r sin θ=-22 Then we get,…

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given complex number is: 22+22i25 Let us consider, r cos θ=22r sin θ=22 Then we get,…

Q: Convert the given complex number from rectangular to polar form. - 3/2 +3j/2 - 3-/2 + 3j/2 =(cos +…

A: We have to find

Q: Write the complex number in polar form with argument e between 0 and 2N. 6 + 6V3i

A: We have to find the polar form