For the complex numbers • w = 5+ -11 i • z = 13 - 3 i Find the argument of w – z, and enter your answer in radians, accurate to 4 decimal places. Make sure your answer is between -n and T

Q: Determine the argument and the modulus of the given complex (-2-4i)(5i) number: (3+8i)

A:

Q: Express each ratio as a single cor (a) (23.5 + j8.55)/(4.53 – j211) (6) (21.2– j21.2)/(3.54 – 3.54)…

A: Given : (a)  2.35-j8.554.53-j2.11 (b)  21.2-j21.23.54-j3.54 (c)  -7.07-j7.074.92-j.868 Here

Q: 1. Solve the following complex roots and plot the solutions if

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

Q: For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their…

A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

A:

Q: Select one: O a = 1+iv2 and æ = 1 – iv2 O a = -1 - iv/2 and a = -1+i O not in the list O r = -V2 and…

A:

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

A:

Q: Write the complex number -V3 + i in trigonometric (or polar form) with 0 < 0 < 2n.

A: Using z= r(cos theta +i sin theta)

Q: What is the argument of the complex number given by z = (1+ iv3)(1 + i)(cos(0) + isin(0)) Select…

A: We have to find argument.

Q: Consider the two complex numbers 21 = -8-6i and z2 = -6 - 2i. Find 21-22 = (give you answer in the…

A:

Q: Use the trigonometric form of a complex number to show that z-n = 1/zn , where n is a positive…

A: To prove the given identity

Q: Express the following complex numbers in the form re : i. 3 + Ti ii. 25 - 1/Tti iii. (i+ 1)T

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

A:

Q: Express the following complex number in the form x + iy (1 - i)(2 i) (3 - i)

A:

Q: Write the following complex numbers in exponential form: z = r exp (10) z = 9+8i, w=-4-10 i, u=4-5i

A:

Q: Evaluate and simplify sec(3 – j5) · csc(2 + j4) cot(5 – j2) |

A:

Q: The conjugate of complex number z satisfy: Oz+z=1 Oz-z=0 Oz-z=2ilmz | Oz+z=2Rez

A: let's consider a complex number , z=Re(z)+i Img(z)  i.e z=x+iy

Q: Plot the complex number z = 3 and find its absolute value.

A: Consider the given: z=3It can be written as:z=3+0iComparing z=x+iy,here,x=3,y=0

Q: Find the real component if the

A: Given,             a+bi Here,         a=9,  b=10, and n=7.

Q: Find a complex number for which Arg(z bar) does not equal -Arg(z).

A: For all non zero complex number we have Arg(z bar) = - Arg (z)  as if z = x+iy  which imples z¯ = x…

Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

A: Given that z1=7-4i and z2=2+5i