V(R) = v(R;) = ££♥(R;) =Ev(S;) = E b(s;)² > 0 R;ER SER R, εS S;ER S;ER

Q: (a) Si = {(x,y) | y divides x} (b) S2 = {(x, y) | x + y is odd} (c) S3 = {(x, y) | xy is odd}

A: List the properties of relations. Reflexive: a relation R on a set A is reflexive if a,a∈R for all…

Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: S = {(x, y, z) E R : 2 = x² + y°, 0 s 4}. Evaluate e* dS. ds.

A: To evaluate the surface integral over the surface S is given by the equation z=gx,y, use the…

Q: If f(x,y) = x In(2y³ – 5) + y e* , find ! of and ôx ây

A:

Q: 4. Suppose is a discrete rv with E(9X + 2) = 20 and E(X²) = 13. (a) Find E (X) (b) Find V (X)

A: a) We will use the formula E(aX+b)=aE(X)+b E(9X+2)=20E(9X)+E(2)=209E(X)+2=209E(X)=18E(X)=2   Answer:…

Q: 3. A RV is described by: x+y 0<x<2,0< y<2 S(x,y) ={ 8 [0, otherwise. Find VAR((X+Y)/2)

A:

Q: If f(x) = exp(-x).In(x), then , when x=1, df/dx is 1/e C 2/e O e nonexistent O

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: liid, find a for 日 If X、,メ。,X Xu are Complete s ff arat statistic for 0 if:-

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: If X is uniform in the interval [-3,3] compute X(i.e. E{X}) and o² (i.e.E{(X-X)²}).

A: Given that X ~ U[-3,3] to find mean and variance

Q: If y(s)=1/(s2-3s+2) , and y(t)=L-1(y(s)) , then y(1)=? (a) e2-e

A:

Q: S (x+5g+wz) dzoly de ax X-つ

A:

Q: OProve that (r=s)Er S is toutology?

A: The objective is to prove that r≡S≡r↔S is a tautology.

Q: Evaluate S S"(2y² + x)dædy

A:

Q: In a football match, X is a RV that represents the interarrival time between goals scored by team A…

A: Given thatX - interarrival time between goals scored by team AY - interarrival time between goals…

Q: 1: Let w = eVE, where x = 5s2 – 4,2, y = 3r?s?, and : = Find the value of when s = 1 and r = 2.

A:

Q: Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer.

A: Given: The below table is given, To find: Any value of t in the interval 0&lt;t&lt;8 at which…

Q: Suppose M max{e for x E [0, 00)}, then the value of M is %3D Answer:

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Given F(x, y, z) = (z, x, y) Solve for: а) divF b) curlF

A:

Q: R and r are defined by E(; - 1)(y, – I) VE(*; - 1)² E(Y SSR Sry S,, Syy R? TY r = SST' (1) Show R2 =…

A: Given : R2=SSRSSTr=∑xi-x¯yi-y¯∑xi-x¯2∑(yi-y¯)2r=SxySxxSyy

Q: k k Ans. F(s)= 12) s(1+ea) 0 a 2а За 4а

A: Need to find laplace of given function

Q: f(z) =z2 is discontinuous in C

A:

Q: (d) Are X1 and X2 independent? Justify. (e) Compute E(X1) and V(X1).

A:

Q: Q3: van fy = xy*-1 + x",In(x) f(x,y) = x +y* • if it was True false

A:

Q: If e'z = /3 -i.Then Im (z) is %3D O a. e2 b. 0 С. 1 d. -In(2)

A: eiz=3-i Now let z=x+iy. Then, ⇒eix+iy=3-i⇒eix+i2y=3-i⇒eix-y=3-i…

Q: The evaluation of S xy e*dxdy is 0.5 e 0.25 e- 0.5 O e-0.25 O

A:

Q: SAS K Y %23

A: Given figure, we have to state the congruence required to prove the congruence of triangles using…

Q: B = {(x,y xs2, -a sy s3, 0£21} SS, x*yz²dV 2 'B

A:

Q: 2 (4)F(s)= %3D s² (s +4)

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: Let x be a c.r.v., the E(x4) can be founded by xf(x) dx. O True False

A: Given problem Given that   Let x be a c.r.v., the E( x4 ) can be bounded by ∫-∞∞xf(x) dx   Ans)…

Q: If k> 0 such that k S x 8k dx = 7 then

A:

Q: M N * LN = MO SS SAS AAS AONL E AONM ALON E AMON ALNO S AMON

A:

Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: y'(x) = P(x) + Q(x) * y(x) + R(x) * y (x) P(x) = -e2** ricatti dif. Q(x) = 2 R(x) = e-2*x

A: The given Ricatti's differential equation is                    y'(x)=-e2x+2y(x)+e-2xy^2 ⋯⋯⋯⋯ (1)…

Q: two variables are independent, each with the pmf given in the accompanying table (so X,

A:

Q: {(x, y), 4.x2 + 9y² < 36} C R2 ected? pathwise connected? Justif

A: Connected and path connectedness

Q: E(x)=3, var(x)=10 z=4+0.4x Find var(z) and E(z)

A: Given : Ex = 3 varx = 10 z = 4 + 0.4×x varz = var4+0.4×x varz = var4+var0.4×x Variance of constant…

Q: GEOMETRICALLY WHAT ARE f(x, y) and f(x,y,z). CHOSE FROM OPTIONS BELOW.

A: Given data: The first function given is f(x,y). The second function given is f(x,y,z). The first…

Q: 6. Evaluate 1 x² + y² + x² dV, where E = { (®,g, z) |1< n? +g? +z? <4}.

A:

Q: Is it worthwhile economically to purchase the annual towing insurance at a cost of $50.00? a. Yes,…

A: X = Amount spending on towing Probability Does not need to be towed $ 0 0.75 Needs…

Q: 2. Let fx(X) va+I, Where x > b and a and b are positive parameters. Find E(X) and Var(X).

A: See the handwritten solution

Q: If y = Eo(k + 1)z*+3 then y' = .

A:

Q: If x and y are two quantities, then y is directly proportionalto x if there is a nonzero number k…

A: The statement: If x and y are two quantities, then y is directly proportional to x if there is a…

Q: [F(x, х, х, х) — х] (х— х) — b K5 x- e-d <{x- [Ks – 1] (e– d) S {* x (е- d) [Кз — 1]—Ь e- d | | 1…

A: Algebraic identity: Algebraic identity for the square of the difference of any two algebraic…

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: 3) Find the deri vative of cscC (x) (xf3)' X4

A:

Q: %3D in Fin d E(S an d Var(s)

A:

Q: of (d) If x = ;(s2 + 12) and y = s - 12, then at the point (s, t) = (1, 1), д is equal to 0 х.

A: Given : fx , y=x2y+sin(xy)+1   x=12s2+t2      ,   y=s-t2 To find : ∂f∂t at 1 , 1

Q: 1 Y(s) 5s2 then Y'(s) = ... 4一s

A: Given Y(s)=15s2-4sTo find Y'(x)

Q: f(L,K) + x [loo-PeL-Pak] max dQ

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.