1. Write the complex number i+= in the form of rele V3

Q: Find all the cube roots of the complex number -i.

A:

Q: Find the value of b if the complex number is 6 + 4j = 0

A:

Q: write the standard form of the complex number 7/4(cos(3pi/4)+isin(3pi/4))

A: Here cos3π4=cosπ-π4                =-cosπ4                =-12 sin3π4=sinπ-π4               =sinπ4…

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

A: I²=-1

Q: z2 + (3 – 2i)z + (2 + i) = 0

A: Here, we need to solve the following complex number equation.                 z2+(3-2i)z+(2+i)=0 Let…

Q: 13 8 cos 37 + i sin 8 |10 + i sin 16 Cos 16

A:

Q: 3.) 21 + Zz - 2з

A: Please find attachment for the details solution

Q: Find the roots of the given complex number 1. z^3 = 2 – 3i

A:

Q: 2.) (z2)®

A:

Q: 1. Find the following products of complex numbers a. (2 + 3i)(4 – 2i) c. (-1 – 2i)(2 + i) b. (2 –…

A:

Q: 30. The complex number 1 + V3i can be expressed in exponential form as 2e A в 2e- is 2e- 2e D

A: In the given question we have to expressed the complex number z in the exponential form…

Q: In(2) The complex number e is equivalent to a) ji b) (1+j} c) 1+ j d) 1- j

A: According to the problem, we have

Q: Given two complex numbers z = 1+j, and w = 2 – 4j, which of the following options equals 2? w

A: We know that

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: In the complex number system, which of the following is equivalent to (3 – 4i) + (-2+ 5i) O 1+ 9i O…

A:

Q: 15. Write the complex number in rectangular form. 5 cis 330°

A:

Q: Find the real and imaginary parts of the complex number.

A: Given: The expression 3+-4 . The given expression can be converted into the form a+ib as,…

Q: Solve the following complex numbers: Z1 = 5+3i ; Z2 = 4+5i ; Z3 = 3-i %3D

A: Givenz1=5+3i ; z2=4+5i ; z3=3-i

Q: Find the value of the following complex numbers using Euler formula? three) (choose 1) [5 -i (5)0.55…

A:

Q: A complex number is given as 2 + j2. The argument that results from taking the 5th power of it is…

A: Introduction: The complicated numbers are represented through a Cartesian aircraft referred to as…

Q: Given two complex numbers z = 3 – 3j and w = 1 + 7j which of the following options equals

A:

Q: 13. The complex number c + di is equal to (2 – 3i)². What is the value of c?

A:

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

A:

Q: If 5 and 2 are complex numbers, then prove: (a) l-k|| (b) (c) +s|s|+|=|

A: I have solution for (a), and (b) a ..

Q: Write the complex number in standard form. 11m z = 9 cis 6. Z =

A: Topic - complex numbers Cis x = cos x+ i sinx

Q: If we write the following complex number in standard form (V3+ v13i)(V3 - V13i) = a + bi then

A:

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

A: The given complex number is, 1+i12. The objective is to change the given complex number to the form…

Q: Express the given complex number in rectangular form (a + ib). 1. cos + i sin cOs + i sin

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: What is the algebraic form of the complex number 13 e^1.176i

A:

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: 1. Write the complex number i+2 in the form of rei® .

A:

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?;…

A:

Q: Which of the following complex number is represented in the Argand diagram shown? -1 -1 1 2 --1- --2…

A: If we have a complex number a+ib Here a is the real part of the complex number and b is the…

Q: Put the complex number of (1+2i)/(2+i) in the form if a +bi, where a and b are real numbers

A: The given complex number is 1+2i2+i.

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: If a and b are complex numbers, prove that |a+b|<\a|+\b| .

A:

Q: Find the imaginary component if the complex number a + bi is raised to m if a = 7, b = 7, and m = 6.

A:

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

A: We have to solve given problem:

Q: 1. Write the complex number 2 + iv3 in the form of rei0

A:

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

A:

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

A:

Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

Q: Find the argument of the complex number 3 + 17i 4 4. 47

A: Given complex number is- 3+17i We need to find argument of the given complex number. For any complex…

Q: 3. Símplify to a complex number: 3 + 6i 3i

A: Given, complex number = 3+6i3i   We have to simplify the complex number

Q: 2. Write the given complex numbers in the form a + bi. 3 (a) 를 + 을-2유 (b) 2,0 + + 5i 5- 12i (c) 2-4i…

A:

Q: 1. Write the complex number i +2 in the form of rele

A:

Q: The argument of the complex * number (1+i)^4 is

A:

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

Q: 5) The complex number c+ di is equal to (2+i). What is the value of c?

A: