You are given the complex number w = 4-4V3i.Which statement(s) is/are correct? The square of w is 64e3. w = -4+ 4V3i. In Euler's form, w = 8e 3. w = 8 (cos () +isin (4)). 4e i is a cube root of w.

Q: Find the square roots of the complex number z= 16 (cos 60° + i sin 60°). There may be more than one…

A:

Q: Find the real numbers x and y. 1. X- iy = -2+ 3i Given that Z1 =1-2i & z = 4 + 5i find 2. Z, +z, 3.…

A: We know that  i2  = -1

Q: III. Find all cube roots of each complex number. 5. 8 cis 60°

A: We have to find cube roots of complex number 8 cis 60°.

Q: O simplify as a+bi : (2i-13. * 2-i

A: Since you have not mentioned the question number. I am allowed to do only one question . To convert…

Q: Find the quotient of the complex numbers. Leave your answer in polar form. 22 2₁ =6 cos+isin 8…

A: Kindly see attached photo for your guidance.

Q: 2.1 Find the value of x and y from the given complex equation (-2+ i)x + 2y =1+ 3i. 2.2 Write the…

A:

Q: Find the three cube roots of the following complex number. Write the results in both polar and…

A:

Q: i0₁ If z₁ = r₁e and Z₂ = r₂e O Choose the correct answer below. O O 1 i(0₁ + 0₂) 11 0₁ i A 1…

A:

Q: 21. z² + (3 – 2i)z + (2 + i) = 0

A:

Q: For the complex number z = 3 – 4i, solve for z2 – 12z + 52.

A:

Q: 13. Find the complex number.

A: Given real part=4 Imaginary part=-7i

Q: ind the roots of complex numbers 1. z3 = 2 – 3i

A:

Q: If z= 1 - 2i

A:

Q: In Exercises 9 through 14 find the roots of the given complex number. 9. (1+iv3)A, 12. (-1-i). 13.…

A:

Q: For the complex numbers • w = 5+ -11 i • z = 13 - 3 i Find the argument of w – z, and enter your…

A:

Q: Write the complex number in rectangular form. z = 8 cos +i sin 6 V3 1 OA. i + 4 4 B. 4/3 +4 i O C.…

A:

Q: 5. V-5· V-20 6. (6+j7) – 10 cjs 30° + 10e/0.752 + 5Z–25° 7. (3+j4) + 5 cjs 45° + 5 2-45° = 6-jx +r Z…

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

Q: determined. Simplify the below complex number. √7+24i= x - iy The values for x and y are given by O…

A:

Q: Write the standard form of the complex number. (Round numerical values to four decimal places.)…

A:

Q: II. Solve for the reciprocal of the following complex numbers. 1 а.-j16 8+j2 C.-2-j16

A:

Q: polar form

A:

Q: Find the first cube root of the complex number z = 512 Cis(180°) of the form a + bi Ob.4v3-4i Od.4 +…

A: Given z=512Cis(180°) Formula: nth roots of complex number z=a+ib are given by zk=r1ncosθ+360°kn+i…

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

A:

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

A: