(3) A = {r| x = 3d + 2, d e N}, B = {x € Z]z? +9 = 0}, C = {1,5}. Also assume the Universal set is N: Show the following: %3D (a) (Cn A)- B (b) (AUC) – B (c) P(P(C- B) A)

Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

Q: 3. Integer Representation (48)10 = D16 (67)8 = C D10 = C D16 (4F)16 = C D10

A: For  (48)10 Hence (48)10 = (110000)2 = (60)8 = (30)16

Q: The evaluation of SiS 3y e*ydxdy is

A: The solution is given as

Q: PLEASE SHOW STEPS  for only part (a) & (b)

A:

Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

A:

Q: Which of the following correctly states the interval that the function f(x) = 2x* - x² - 12x² %3D +x…

A: Given:     To determine: intervals in which f(x) is decreasing

Q: Graph the following linear equations using any 2 points. 1. у %3D 2х + 5 2. у %3D— Зх + 2

A: Given that y=2x+5  We have to draw the graph of this linear equation

Q: Simplify: (22 – 4)5 4.x + 4) /x + 2 (x2 a) O (x + 2)7/2 ( – 2) –7/2 b) O (r + 2)-5/2 (x – 2)4 c) O…

A: We have to simplify

Q: Let F = (2x, 3y, 7z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where…

A: the divergence (div) and curl of the vector field F = (2x, 3y, 7z), we can use the standard…

Q: What can you conclude regarding the numbers y and z if x z?

A: Given x<y, x>z

Q: If a = {3,1,2}, b = {-1,1,0}, and c = {0,0,-4}, show that a x (b x c) does not equal (a x b) x c.

A: Given :            a=(3,1,2) , b=(-1,1,0) , c=(0,0,4)

Q: if c(p,s,h) is the cost of buying p bags of chips, s sodas, and h hot dogs, use functional notation…

A: If c(p,s,h) is the cost of buying p bags of chips, s sodas, and h hot dogs.We use functional…

Q: Determine how AABC was translated. ...

A: We can use the graphical translation in order to solve the given problem.

Q: If P(A) =0.7, P(B) = 0.1 and A and B are mutually exclusive, find  P(A and B)

A: From the provided information, P (A) = 0.7, P (B) = 0.1

Q: Question 8: Let S be a given nonempty set and h: S → S a map. A point ro €S is called a fized point…

A:

Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

A:

Q: (a) Use PhaseLines to investigate the bifurcation diagram for the differential equation dy dt =ay -…

A:

Q: Evaluate each of the following for x = 5, 7, 9 and 2. ∑x2 ∑x2 – 5  ∑(x2−5) 2∑x2- 5  2(∑x2- 5) 2)

A: Given:   X = 5, 7, 9, and 2.

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

A:

Q: Find all (p, q, r) such that ((p + -4) evaluates to 1.

A:

Q: Choose the correct Sympy expression to cal Select one: a. diff(f, x, x) b. deriv(f,x) c. diff(f, x)…

A: 1).   To compute this definite integral, pass this argument >> Integrate ( f, (x, 0, π/3))…

Q: ind AxB for A = {1,2} and B = {r,s, t} %3D

A:

Q: C. Use the table to evaluate cach expression: 2 3 4 3 5 4 f(x) g(x) 4 2 3 3 a) f(g(0)) b) g(g(1)) c)…

A: Recall: f∘g(x)=f(g(x)) f±gx=f(x)±g(x) f.g(x) = f(x).g(x) Note : According to Bartleby guidelines,…

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: Question 16 Evaluate: (A +C 글지(Sx + 3) +C В C 2x D x++x ]+C

A:

Q: 4+4V5 V2 - V3

A: To simply the given expression by rationalize numerator and denominator by √2+√3

Q: Q closed over multiplication? (Y/N) 6. Is N closed over multiplication? (Y/N)

A:

Q: ition 1.3 3 4 う 3. 2 2. 2.

A: Use the table to evaluate each expression. a) f(g(1)) b) g(f(1)) c) f(f(1)) d) g(g(1)) e) (g • f)(3)…

Q: Evaluate: (x + 6)(x – 5) dæ + C

A: We will solve the problem

Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: b. Use the Second Derivative Test to find all local minima and local maxima for g(x).

A:

Q: Find the value of x. 15 18 25 5x-5

A: Topic: geometry

Q: Am = 7+ m Bm 2 min {5-m(-1)m+3, 7} R= {m EN: Bm = -4m}, V = {m EN: Bm = -8}, W = {m EN: Bm = 1}. max…

A: