V3 (b) Write the complex number (-+603 in the simplest form 2 (c) Let C be the arc of the circle Izl - 2 from z - 2 to -2 Then find the

Q: (-2i)+(4-3i) Write your answer as a complex number in standard form.

A: Given that : (-2i) + (4-3i) and we write this as a complex number in standard form.   We know that…

Q: Let z be the solution to z2 16 with - Im(z) > 0, and let w be the solution to w? 64 with Im(w) > 0.…

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Q: (b) d = 3i + 2k b = 4i + 4j – 2k C = i – 2j + 3k, d = 2i – j+ 5k Compute (d x č). (ā – b)

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Q: (1 + i) 201.

A: Now…

Q: 4. Find all solutions in the complex numbers to the following equations. (a) z5 = z. (b) 24 = iz².

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Q: (b) Given z is the conjugate of a complex number z such that z=6+8i Find the complex number z whose…

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Q: present given complex number in polar form also find its (1+21) ¹2 (-2-√5i)"

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Q: 1. Describe and sketch each of the following sets of complex numbers: (a) 1|2z -8 0

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Q: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: Plot the complex number z4 = (√3/2+1/2i)^20 in the Argand diagram.

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Q: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: Find the Real and Imaginary Part of 1+sqrt(3i) and plot it in the complex plane

A: Complex number of form z = x+yi Where, x is real part and y is imaginary part

Q: Q3) Find complex root of the z³ = -27, k = 0,1

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Q: 1. Describe and sketch each of the following sets of complex numbers: (a) 1 0 (d) |z −1²+ |2 + i|² <…

A: 1. (d) To describe and sketch the set z-12+z+i2&lt;2

Q: 3. What are the roots of - 5x2 36 =0 1. (3i, -3i,-2, 2} 2. (-2i, 2i,-3, 3} 3. (9,-4} 4. {-9,9,-4i,…

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Q: 5. (a) Let z = (a + ai)(b+ bv3i) where a and b are positive real numbers. Without using a…

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Q: Find all complex numbers w such that w ² = -1

A: Given that The nth root of the complex number  is

Q: [1E q20] Question is attached, Thanks ?  PLEASE ONLY DO PART D) THANKS

A: What is the condition under which |z+w|=|z-w|?

Q: Identify the graph of 3x2 - 2√3xy + y2 + 2x + 2√3y = 0.

A: The given curve is 3x2 - 2√3xy + y2 + 2x + 2√3y = 0. using any graphing calculator, sketch the graph…

Q: Find the imaginary part of 23t where z = x+ iy (the denominator is the conjugate

A: The conjugate of z will be x-iy

Q: What is the image of the line x = c; c > 0 in the function f(z) = ? ("z" complex number) Z

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Q: Express the result in trigonometry and rectangular form (1 + 2i)4 44. (1 – 2i)?

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Q: a

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Q: Find all complex numbers z satisfying the equation 2|=|* + =' -5+iV3 =0.

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Q: what is a Complex Conjugates? where the Complex Conjugates came from? how it came in pair?

A: Complex conjugates: If there is a complex number, then its complex conjugate is defined as the…

Q: Complex Numbers. Find, in the form x + iy, showing details, 11. (2 + 3i)2 12. (1 – i)10 14. Vi 13.…

A: The conjugate of the complex number, z=x+yi is z=x-yi. The complex number, z=x+yi can also be…