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: Which of the following statements are true? O -250 > 125 O - 76 < 90 O 80/4 = 4 * 5

A: From given statement it is clear that

Q: what is the Euler number of the region Shown in the Figure blew?

A: To determine the Euler number of the region.

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: 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: Find the contrapositive of q⇒∼p

A: Find the contrapositive of q⇒∼p   .

Q: (Do solution short form)Prove that the only idempotent elements in an integral domain R with unity…

A:

Q: If a and b are any real numbers, is the statement a * b = b * aalways true? Why or why not?

A: Given that, a and b are any real numbers.   The objective is to decide whether the statement a×b=b×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: 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: 3. If AC = 26x-18 and BC = 23-2x, which expression represents AB? A B C

A:

Q: Fill in the meaning of each of the following symbols. P, q, r, s, t, etc. ➜>> N A Meaning: Meaning:…

A:

Q: Which of the following statements is TRUE O a. 14 € {x|x is an odd number} o b. 10 € {5,10,15, 20} O…

A:

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: 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: * 00 2N IFN=(1,2,3,4,..), C= {x |x = 2n- 1, n E N), D= (x |x = 2n, nE N), and ( = {x |x=2n +1, n=0…

A:

Q: Is PA (QV R) logically equivalent to (P^Q) v (PAR)? O yes no

A:

Q: Which of the following is a false statement?      A. −7 ≡ 3 (??? 5) B. 33 ≡ 5 (??? 7) C. 34 ≡ 4 (???…

A:

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

A: Answer: False.

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

A:

Q: p and q be the following statements. P:4x2=9 q: 1X1=1 What is the value of p V q? O False

A: p : 4×2=9q: 1×1=1 p∨q=?

Q: If then A-1 - # 用 A = 1 5 -4 -9 0 0 1 4 -2 0 0 1 0 3 1 , 田

A: By Gauss-Jordan elimination: Let A=IA…

Q: The logical expression: (p v q) ^¬(¬pa q) Is equivalent to: Select one: a. n9 b. p С. 9 d. True

A:

Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: If a * b = a + 2ab, is (a * b) * c = a * (b * c)? *       a. Yes b. No c. Maybe d. Cannot be…

A:

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.

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”.