1. Assume that x, y ER and z = x + iy E C and answer the followings: Find the linear transform which converts inside the circle has a radius 2 and center is (0,-2) to Im{z} > -2. а- b- Find the linear transform which converts outside the circle has a radius 1 and center is (1,0) to Im{z} > 3. z+b form .Find b,c and d, if w=0 for z=1+i, w=3i for z=4 C- Consider the linear transform w = cz+d and w=-i for z=-2.

Q: What is the value in simplest form of the following expression? V1 +v1+3+ v1+3+5+ /1…

A: 1+1+3+1+3+5+1+3+5+7+......+1+3+5+...+99

Q: The number of positive divisors of 5000 is 7(5000) = Oa. 15 b. 20 O. 12 Od. 16 Oe. None

A:

Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

A: Given: The equation x∘y=x2+y2 in the N natural numbers set

Q: Use the associative property to express : 1 10 +. 5. 3 10 3. 1 2 10 3 (금+루) O. 10 7. 3 10 1 7. 3

A: Associative property  of addition . (A+B)+C =  A+(B+C)

Q: For "x is in A minus B" give an equivalent statement that uses "x is in A"  and "x is in B"

A:

Q: 9

A: As we know that (-1)^2 = 1 (ab)^2= a^2b^2

Q: 1.) Let 024 A = 655 10-3 052 B = 534 -2 4 -2 52 C = -24 (10) -4 1 D = 50 2-1

A:

Q: Evaluate the expression 2(3t) and (2*3)t when... i) t=1 ii) t=2 iii) t=0.5 Bonus) t=-1

A: Given: 2(3t)(2*3)twhen:(i)  t=1(ii)  t=2(iii)  t=0.5(iv)  t=−1

Q: 3 4x +9x-5 2x 1 Which expression is equivalent to

A:

Q: Evaluate the following expressions given x = 3 and y = 6 : 28х — 6у а. 0.00 8 b. x3 + 6x + 19 = 0.00…

A: To evaluate the below expression at x = 3 and y = 6. 28x−6y8 x3+6x+19 6x3×5y8y −5x2+12x+15y

Q: Which of these choices is equivalent to the expression: O B. P O D.

A: Complex number: We know, i2=-185=2*42+1

Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

A:

Q: Does 2|0? O Yes, because 0 = 0· 0. O Yes, because 2 = 0 · 0. O Yes, because 0 = 2 · 0. O No, because…

A: We have to check

Q: a. write the converse of: "if apples are oranges, then 1+3=5."

A: The converse of "if p, then q" is "if q, then p." Here,  p: Apples are oranges q: 1+3=5

Q: 2 + 7? ? 2 − 5? + ? 2 − 4? ? 2 − 5

A: We need to simply some given question.

Q: Given A = [2 4] and B = [3; 2], which one of ?the following expressions is illegal A. *BO A+B'A+B' O…

A:

Q: Which expression shows the number of possibilities for 1st, 2nd, and 3rd in a soccer league of 18…

A: We have to find no. Of permutations possible.

Q: Use inductive reasonig to predict the next number in each of the following list. a. 5, 10, 15, 20,…

A: part(a) 5, 10, 15, 20, 25 ? solution definition of inductive reasoning inductive reasoning is the…

Q: L. Si S 12rzdydzdz=?

A:

Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

A:

Q: Using the information in the table below, find the occupancy rate for the years 2021 to 2024 using…

A: Given α=0.3. Let At represent the actual values of the occupancy rate and Ft represent the forecast…

Q: Suppose P(E) = 0.74, P(F) = 0.4, and P(E´∩F) = 0.49. Find P(E´∪F). Note the complement symbols.…

A:

Q: Which of the following have meaning (or are meaningful)? c(a - 5) |2|+12|

A:

Q: V2+Tt is an integer number * O True O False

A: Answer: False.

Q: Let A: (4 -5 -3) and 8+ (-65) A= B- 2 2 8 Evaluate each of the following expressions, if possible.…

A: This a question on matrix summation and multiplication. The question is elaborated in the solution

Q: Find the following expression, if not defined, give the reason why. a.) 14B – 3B

A:

Q: What does y=____

A:

Q: Select ALL expression that are equal to 8 - 12 - ( 6 + 4 )

A: we will use BODMAS rule to solve the question.

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: Let A = 1 1 1`1 1 1 1], B= CD c=H₁ 1 1 Which of the following expressions is NOT defined?

A: we need to find which of the given expressions is not defined.

Q: X5 x3 +4 +4 dx

A: WE can find the integration as below.

Q: If X∼U{1,2,…,20}, what is Var(3X−7)?

A: As per the question we are given an uniform distribution of the discrete random variable X, which…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.