2. Let A = {x € N: 3 ≤ x ≤ 13}, B = {x € N : x is even}, and C = {x€N: x is odd}. (a) Find An B.

Q: (3) Let X € D4 such that X ‡ R270- Find all Y € D4 such that XY2 = R90. Explain your reasoning.

A: Given:  X, and Y are the elements of the dihedral group D4 such that X≠R270 and XY2=R90. To Find :…

Q: 2. Show that (2) (¹)+(2-1). Can you provide = an interpretation of this equality?

A:

Q: 13. Let U be the set of real numbers, A = {x |x is a solution of x - 1 = 0}, and B ={-1, 4}.…

A: Let's find.

Q: d) P(-1< Z <1.8)

A: d) P(-1&lt; Z &lt;1.8)

Q: Show that if x > 0, then 1 + 1x − x² ≤ √1+x≤ 1 + ½ x. -

A:

Q: 22. lim √x + 6 x 3 x + 2

A: To find :-

Q: |x+7/2| ≥ 9

A: Given,

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: 12. Find x and m < A. Show ALL work to find x first. THEN find m< A. (7x-26) (5x-27) A (10x- 23)

A:

Q: 22. lim √x + 6 x 3 x + 2

A:

Q: 2. h(x) = x² 4, evaluate at x = 4, 8, 11 and %3D %3D

A: The function is h(x)=x2-4

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: Determine whether "Vr E R, 3y ER (x² + y)(ly|+1) < 4" is true or not.

A:

Q: Evaluate. x + x2 lim X-+00 1 – 2 x2 Input the solution in decimal form.

A:

Q: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: 4. Let h(r) = 5 x 6 20 x²3x18 Find all values of N for which h(N) = 3.

A:

Q: Suppose P(A) = 0.4 and P(B) and B, show that 0.1 ≤ P(An B) ≤ 0.4. = 0.7. With no other assumptions…

A: We have given thatP(A) = 0.4P(B) = 0.7We have to show that0.1 ≤ P(AB) ≤ 0.4

Q: 10. Σ = {(1,3), (-∞, 2), (0, ∞0), (-∞,4)}

A: This is the question from the topology.

Q: Let a ER and set fa: R→R: xx+1|-2|2x|+ a. S(a)= {r ER: fa(x)=0}. (So, S(a) is a set). P= {a € R:…

A: Given information fa : ℝ→ℝ  : x→x+1 -22-x +a Sa =  x∈ℝ : fax =0  P =  a∈R : Sa = ϕ Qa =  x∈ℝ : fax…

Q: |x + 1| ≥ 3

A: Given,

Q: Suppose that a friend tells you that if any number M > 0 were to be speci- fied, one would always be…

A: The friend tells that if any number M&gt;0 is specified, it always can be able to find a…

Q: Show that (a + b)x = ax + bx for all a, b E F and all x € F¹.

A:

Q: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

A: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: b. {r|x € N and 7 <x< 14}

A: Given,  x|x∈ℕ and 7≤x≤14

Q: If 0<x<4 then a < 6x + 2<b   a= b=

A: In this question, we need to find the values of a and b.

Q: C. Evaluale f(?-1) if F()= 3. if 251

A:

Q: |u|> c is true for all real numbers if c _ 0.

A: |u|&gt;c is true for all real numbers if c ____ 0.

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

A:

Q: If f(0) = acos(be) +1, where a > 0 and b>0, then a true statement is Select one: a. -a +1≤0 ≤a+1 b.…

A: , where  and .To Do:Determine the true statement.

Q: 4. Find a number 8 >0 such that if Ix-10] < & then |(2x + 3)-23|< 0.25.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If X-B(x; 10, 0.25), which of the following is P(2<Xs4), approximately? Lütfen birini seçin: a.…

A: From the provided information, Number of trials (n) = 10 Probability of success (p) = 0.25 The…