Given A = {1, 2, 3, 4, 5} and R = { (x,y) ϵ R | x^2 = y^2, x,y ϵ A }, then what is R? (Note: ^ means exponent or "...raised to...") A. R = { (1,1), (1,5), (2,2), (3,3), (4,4), (5,1), (5,5)} B. R = { (1,2), (1,5), (2,1), (2,4), (4,2), (5,1)} C. R = {(1,1),(2,2),(3,3),(4,4),(5,5)} D. R = { }

Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: d. ( 15 %3D -3 y

A: in this question formulas used are- X^a/X^b = X^a-b 1/X^a = X^-a

Q: With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f +…

A: Given f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) The domain of f =…

Q: .If X&Y are independent R.V's,what are the values of Var(X₁+X₂)and Var(X₁-X₂)

A: Solution X1 and X2 are independent random variables then Cov(X1,X2)= Then Var(X1+X2)=Var(X1)+Var(X2)

Q: Compute each of the following. b. (3)* d. (-3). f. (1)** a. (- 10) - (" 10)° C. 50 147 e. g. 4+3 5-2…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

Q: If A- A = I, then (4-1) = %3D

A:

Q: Tapoint on the function, /(x), s(-8,9). state the corresponding point on its inverse (0).

A:

Q: a) Find ū - i b) Find w.u 1/2

A:

Q: Match these values of r with the accompanying​ scatterplots: 0.762, −0.994​, 1, −1​, −0.404.

A:

Q: If the right ray topo log y is considered for the real numbers then [1,5] is closed set O [4, c0) is…

A:

Q: A0) = 2, A2) = 5 and f(n) = 2 An - 1) +3 (n - 2) + fAn - 3) for all n> 3. Find f(4).

A: Solution:

Q: Let १ १G,१ी, (३,5) , (3 ), (4,2 ), ( 3 4) 5 %3D and 4. १,०) (2) (৬,), (,০), (3,) 3 %3D which of the…

A: The solution of the problem is given in the next step.

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: 12 Given: F : =â, determine F•â. 2

A: r→=xa^x+ya^y+za^zr=x2+y2+z2a^r=r→r

Q: (x– 3) - ? = ? 5. For x2 # 9, x' -9

A: Given Data: Expression: x-32x2-9 Condition: x2≠9

Q: Show dz 4 In= 는I미페 - for a<0. x <

A:

Q: 2. Show that 1 2 = (1 - )( - )(? y)

A:

Q: Evaluate (Csch(In 1.5) 10*+1 Usinh(Ino.5) 10x-1 A. 2.9764 В. 3.7265 C. 4.1508 D. 1.8751 Evaluate…

A:

Q: 4. -0-0-0-| - [¯-2], ✓= [3³], V W 1. u. u, v. u, and 2. w. w, xw, and x-w W. W 3. 1 W. W 1 u u u= W…

A:

Q: Ifa' = (-5,1,2) and b' (-1,–2,4)and, find a – 3b.

A:

Q: If a > 0 is constructible, then √a is also constructible.

A: Since α&gt;0 is constructible, then 1+α is constructible and 1+α2 is also constructible so far.…

Q: suppose that X~N (3, oʻ), AP (3<X<6) =0.4, then P(X20)= A.0.4 B.0.9 C.0.6 D.0.1

A: We have to find given probability.

Q: - (10 points) Show |a – b| < |a| + [b| Va,b eR.

A: We have to show that  a-b≤a+b      ∀a, b∈ℝ

Q: 3) ATB, f) BTA. ΤΑ.

A: We have used the basic multiplication rules of matrices.

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

A:

Q: ) g)=マーSr -2-Sr g(カー

A: solution

Q: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

A:

Q: 5. Show that if X~F.m, then X-1 ~Fm.,

A: The probability density function of a random variable X:It is given that the random variable X…

Q: Let S={(0,-1,1),(0,-2,-1),(1,1,2)}.

A: S?

Q: 7. Show that (a). (Z, +) # (Q, +). (b). (Q,+)# (Q\{0},.). (c). (R\{0},-) # (Q\{0},.). (d). (R\{0},-)…

A:

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =&lt;4,-3&gt; and v =&lt;-2,7&gt;