6. Given z = 1+ 21, z2 = 4 - 31, z3 = -2 + 31, and z, = -5 - i, evaluate in rectangular (standard) and polar form: +2,

Q: in the complex numbe 3 + 4i, the absolute value is:

A: Given that complex numbe 3 to find the absolute value

Q: Describe completely the  Development and application of complex number in Engineering.

A:

Q: A motorboat is set to head north-east from the mainland to the near island, lying approximately 15…

A: Let  w→=wind velocityt→=tide velocityd→=displacementr→=resultant vectorm→=motorboat velocity vector…

Q: 8+71 4. Write the expression as a complex number in standard form. 3-44

A: Given    8+7i3-4i  we have to write this expression as a complex no. in standard form.

Q: What is the variables in this statement; the cube root of any negative real numbers is negative

A:

Q: For the complex number 3 + 6i the real part is and the imaginary part is

A: Given that Complex number = 3 +6i

Q: Solve 3x3 + 2x - 1 = 8x2 - 4 in the complex numbersystem.

A: The given equation is 3x3+2x-1=8x2-4. Solve this equation as follows.…

Q: Solve the following equation. Enter the real solutions and the complex solutions in the appropriate…

A:

Q: 4. Possible roots (degree): Number of real roots: Number of complex roots:

A: Open and ends in opposite direction- odd degree

Q: 2019 in + 3 E1028 2n +31028

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: (16—4i) — (12 — 3і) (3i + 7) + (34 – 6i) (-4+7i)+(8– 9i) (-1-i)-(-3– 4)

A:

Q: Are operations with complex numbers similar to operations with polynomials?

A: When a negative number is expressed inside the square root operation, the imaginary unit i=-1 is…

Q: Explain to a friend how you would add two complex numbers and how you would multiply two complex…

A: Here we will discuss the usual method of addition of complex number Let the two complex number are…

Q: 4. Simplify the expression so that the result is not complex and does not have negative. exponents…

A: The Expression is as follows

Q: 6 X-4 2 - 1

A:

Q: 3-6. -3 =

A:

Q: A complex number has : A real part and a complex part B real part and imaginary part C Imaginary…

A: All complex numbers can be written in the form a+ib where a : real part of the complex number b :…

Q: Discuss the algebraic and geometric similarities of the cube roots of any positive real number a.

A: Given:  that to distinguish between the algebraic and geometric…

Q: Essential Question How do you evaluate cube roots and square roots?

A: Asking: show all thr details step by step to finding cube root and square root.

Q: Problem 2 Solve for all possible values of the real numbers x and y in the following equations.…

A:

Q: Solve the equation: z* = 8 V3 + 8i and draw the solutions in the complex plane by using Mathematica.

A:

Q: B. What is meant by complex conjugate of a complex number? Using an example show how division of…

A: A conjugate of a complex number is another complex number which has the same real part as the…

Q: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

A:

Q: a

A:

Q: 5 X + ~|> 2 X 4x y

A: Given:       5x+4xy2x Apply fraction rule:  abc=a·cb     =5x+4xyx2

Q: if (1+2i) one x ² (3-2) x +9=0 of the find another root of a ? 0

A:

Q: 10/Find all ValuSofZ Suck thet E=-Z 20/Pronf that le"+

A: The given problem is to find the values of z for given complex equation and to the prove the given…