. Convert the following Complex Numbers into Polar and Exponential Form V3 a) b) V3 – i

Q: Write the complex number 4 COS 7π 4 7π + i sin 4 in the form a + bi.

A: Complex numbers is given in form of a+bi.

Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 - 3j

A: Z=2+5j compare the complex number with z=a+bj a=2b=5 find the modulus r  r=a2+b2=22+52=4+25=29…

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: 1. Convert the following Complex Numbers into Polar and Exponential Form V3 + a) 2_ b) V3 – ü

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Q: Plot the point corresponding to, z =2(cos30ο +isin30ο ) in the complex plane, and write an…

A: z = 2(cos 30° + i sin 30°)

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: Express the following complex number in its polar form. i"(V3 - i10)(2 – 15)

A: The given problem is to evaluate and simplify the given complex expression and express in the form…

Q: Plot the following complex numbers z = 6 – 3i and w = 2 + 5i and find the midpoint of the line…

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Q: a) 2+2V31

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 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: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. а. 2 b.…

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Q: 1- Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 3j D= -2 + 6j 2- Find…

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Q: Represent the following complex numbers in polar notation; a) z=−4 b)z=−5+5i

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Q: Given two complex numbers z 3-3j, and w =1+7j, %3D which of the following options equals ?

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Q: How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. a. (-z) b.…

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

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Q: Use the help of the polar representations of complex numbers to express (V2 + i)? in the form of a +…

A: Given, i=-1 2+i2

Q: Precalculus hw help. 21 and 22. A, b and c. Thank you.

A: Hi there, at a time we can answer only one question. So I have answered first question.

Q: Represent the following complex numbers in polar notation;  a) z=−5+5i

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Q: 5+ V4 i = Z 5-6i

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Q: Convert the given complex number form z = 4+7i into polar form

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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: Express the following complex number in its polar form. 2+5i -4-7i .i'(V3 – i10)(2 – i5)

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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: 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: 9. Which of the following complex number is on the third quadrant? O z = 3 + Oi O z = 2i - 3 z = i -…

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Q: b) Convert the following complex numbers (rectangular form) to polar form i) z=5+ jl0 ii) z= 10- j21…

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

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Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized

Q: 3. How may the following complex numbers be obtained from z = x + iy geometrically? Sketch. b. (-z)…

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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: Represent the following complex numbers in polar coordinate Z= 2 + 5j Y= -3 - 3j D= -2 + 6j

A: Given: The complex numbers, Z=2+5j Y=-3-3j D=-2+6j To do: Represent the given complex numbers in…

Q: 6 Convert your original pair of complex numbers to polar form. D = 1-j2 A = 2+ j3

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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: Z1 = 2 + 4i Z2 = 5e2i %3D Z3 = 4 cis 40°

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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: 1. Express the following numbers in polar form and plot it in a complex form а. 3+4i b. -3+4i C.…

A: x=rcosθ, y=rsinθ, and r=√x2+y2. Then, z=r(cosθ+isinθ).

Q: Represent the following complex numbers in polar notation; i)  z=2+2√3i ii) z=−i

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Q: What is the polar form of the complex number z = 3i? Z.

A: Given that z = 3i and find that what is the polar form of this . Here i attached solution of this…

Q: a) -4 – 7i to polar form b) 2.5 cis- to Cartesian form 9

A: a) Given the complex number, z=-4-7i Then, r=z=42+72=65 Also, θ=tan-1yx=tan-1-7-4=60.255° Then, the…

Q: Write the following complex number in Polar form: 5+ V4i Z= 5-6i

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

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Q: Express the following complex number in polar form. i. -3 - j4

A: Given that z= -3-4j , z=x+iy is cartesian form  then polar form is z=r(cosθ+isinθ) , where  z=x2+y2…

Q: Derive the formula for the cos'(z), where z is a complex number.

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Q: If Z is complex number e? = e*(cos y + isin y) True O False

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Q: Express the following complex numbers in polar form: (3+ /3i) (-1-i)² 2 i) z=(3 -i) ii) iii) 1-iV3

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Q: Which of the following provides the rectangular form of a complex number? A z=a+ bi B z=r (cos theta…

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