2. Decide whether each of the following sets are finite, denumerable or uncountable. Explain each of your answers. (a) {3m : m E Z} (b) {q € Q : q² E {1,2,3,4}} (c) QU (0,1) (d) Qn (0,1)

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: We know that, Total profit = Total revenue - Total cost

Q: Find the dual of the Boolean expression T+r.0+ ryz O T.(T+0). (T +y+ z) O r. (r.1). (T + y+ z) O…

A: The dual of Boolean expression is given as follows :

Q: |z|<|z+2|

A:

Q: Let P(x) = 2x² – 5x – 12 = (1 – 4)(2a +3). Which of the following is true? O A. For 1E[-2/7, 1),…

A:

Q: HW 2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 <Z< 2) c) p(-2 <Z < 1)

A: If Z~ N(0,1)   which means clearly it is standardized normal distribution table.

Q: Determine the area of the region bounded by two the curves f(x) = x² - 18x + 28 and g(x) = 9x + 14.

A:

Q: S and T are relations on the real numbers and are defined as follows: S = {(x, y)| x y} %3D What is…

A:

Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: Let A = B = C= {x|x is a real number). Let f : A → B and g : B → C be defined as follows: f(a) = 6a…

A:

Q: a. Let X = {2, 4, 6} and Y = {a, b, c, d'}. Define g : X→ Y by the following arrow diagram. X 2 4 bo…

A:

Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

A:

Q: (i) (z+ yx)(x+ yx)(xy+xZ)(z+y)

A:

Q: 1. Given: P={5, 10, 15} {xEQ| x is divisible by 4, 5 2y. Write whether it is a function or not a…

A:

Q: (3c) Let n E Z. Prove that if n is odd, then 4|(n² – 1)

A: here is the proof

Q: The accompanying data represent the ideal number of children for a random sample of 900 adults.…

A: Xprobability (p(X))0123456

Q: X2, ..., Xn, y1, y2, ..., yn, then z is equal to x (A) x + y (B)*+ỹ (C)*+ÿ n (D) x + y 2n

A:

Q: Find the constant C such that * x3 – 3x + 8 < C, where x e [0, 3] | 18 O 23 14 17 O 26

A: We have to find c

Q: Show that (AB)T and BTAT are equal.

A: Now,

Q: The value of x which satisfy 3x + 1| < - is : 5.

A:

Q: b) Find 4°f(x) if f(x) = (3x+1)(3x+4)(3x+7) ... (3x + 19) %3D

A: We will answer the first question only as we don't answer multiple question at a time. Please…

Q: Let B = -3 {CHEMED} 0 Find [x]s 3 3 and x = -8 23

A:

Q: (a) Let x1,.., Xn+2 € R". Show that there must exist some sets A and B such tha i. ANB=Ø, ii. AUB=…

A: Let x1,x2,....,xn+1∈ℝn We take n=5. then x1,x2,x3,x4,x5,x6,x7∈ℝn There exists two sets A and B,…

Q: O Finel the solution of r eccurrene relation +454 -39 ニ %3D

A:

Q: Suppose u = (-1, —1, −2), v = (−1, –4, −1) and w = (–4, 2, −5). Compute the following values: |||||…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…