Represent by drawing (Argand) The Complex numbers

Q: Express each of the folowing complex numbers in the form x + yi: (3 - 4)5 (4 + 37)

A:

Q: Divide complex numbers: 3- 2i 2-

A:

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

A: Demoivers theorem

Q: Write the Complex num ber 603 in the Simplest form

A:

Q: 7 Perform the indicated operation & simplify. Express the answer in the form a + bi. (3 + 2i) (3 +…

A: 1)(3+2i)(3-2i) 2)(6+4i)/(-3-i)

Q: Express Ine sum, dipperence , produict and quotient of the following Compley numbers 2,= -2ji 2マ:11…

A: To solve for complex number

Q: What are Complex Numbers?

A:

Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

Q: How do you find the nth root of complex numbers and provide an example?

A: To find the nth root of a complex number first convert it into a trigonometric form. z=r [cos θ +i…

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: Briefly describe De Moivre's theorem and also describe a complex number

A: De Moivre's theorem:- It is defined as that cos θ+isin θn=cos nθ+isin nθ where  i=-1 And this is use…

Q: ) --1+しa 2 =

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Identify the real part, imaginary part and magnitude of the complex number ecos(theta)+jsin(theta)

A:

Q: 13 (b) Write the complex number (-+0 * in the simplest form

A: here we will find simplest form of complex no.

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

A: We have to solve given problem:

Q: principal values

A: We will use the definition of cos hyperbolic function of complex numbers to find the result. cosh…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.