Let A = {x, y, z} and B = {w, x, y}. %3D a. List the elements of (A). b. Find p(A) n p(B).

Q: a²f af af and əx' əy :f(x, y) = (x+ y)(2x + y)² Compute se дхду

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Q: Find the covariance of Y,, Y, and Cy.y.

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Q: art J K

A: j) the mode of the data is 11.5 and it is repeated 15 times in the data

Q: Let X represent the outcome when a balanced die is tossed. If g(X) = 3X²+4, Find: a) Ag(X) 2 b)…

A: Given that: X represents the outcome when balanced die is tossed g(X)=3X2+4

Q: Use Gramer's Rule to Find K,y and Z -y-2Z = -8 + 32 = 2 %3D 7X +y+Z = o

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Write a simplified formula for the composite (S oT)(x, y) when S(x, y) = (4x, 2y) and T(x,y)= (x+1,…

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Q: If zy = In(ry) – ", then = A) -z B) I+ C) 1-7 D) E) -e zy-2:ze O A В O E

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Q: Evaluate O xy dx + x°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3)

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Q: e Consider the Jollowing fundion. 2= 50x+4, Find the values of d2. az, uwhen oe = 2 and y: 3.

A: Consider the function: z=5x+yx+2y To apply quotient rule of derivatives differentiate the given…

Q: Evaluate f (xz + yz²) dV for the box B: 0 ≤ x ≤ 2, 2 ≤ y ≤ 4, 0 ≤ z ≤ 2. (Use symbolic notation and…

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Q: Let W = {a + bX + cX² + dX³; a – b = 0, c = 4b,}. Then the dimension of W is %3D 4.

A: We will find the dimension of W

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = x - √(y2 + z2)

A: Given function is, f(x,y,z)=x-y2+z2

Q: (b) Let X = {A E Mat2(R) : A is upper triangular} and let Y = {A € Mat2(R) : A is lower triangular}.…

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Q: In Exercises 3 and 4, find the values of x and y. 3. AXYZ = ARST

A: Given,            △XYZ≅△RST            XZ≅YZ            RT≅ST

Q: Let X1,., X, N(µ, o²). Find iid the bias of i = X3 +X + X, if u

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Maximize P = xyz with × +y = 9 and z +y = 9, and x, y, and z > 0. а. Р3 105 О а. O b. P=9 Oc. P =…

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Q: Hewin If Z =R Cxxy]:and u=x-yg V=x²-y 그를 + show that

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Q: Find the covariance between x and y

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Q: Given: m %3D

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate p xy*dx + a*dy, where C is the rectangle with vertices (0,0), (2,0), (2,3), and (0,3)

A: *Concept:- Use Green's theorem.

Q: Let D, E ⊂ C be starshaped w.r.t the same z∗ ∈ D ∩ E. Show that D ∪ E, D ∩ E are starshaped

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Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: In D4, find all elements X such that a. X3 = V; b. X3 = R90 c. X³ = Ro; d. X? = R; е. X — Н.

A: Given group

Q: A shop sells 3 brands of textile: B,, B,, and B, of yarn, each of which is a blend of Orange (0),…

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Q: y' + y = y²

A: Given: Now,           y' +y=y2⇒dyy2-y=dtIntegrating both sides we get,⇒y=11-et+c1

Q: The covariance of X and Y is > 0, which of the following statement is a correct one? a. As X…

A: We have given the following statement about covariance.

Q: dw Find and using the chain rule. ди 3 w(x, y, z) = x = u² + v², y = u² + v², z = 2uv. %3D x² + y? +…

A: The solution is given as

Q: Find the covariance of Y,, Y, and Cyy.

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = e-xyz

A: Given fx,y,z=e-xyz Partial derivative means differentiating with respect to one variable keeoing…

Q: g(x, y, z)

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Q: Evaluate O xy dx + x°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3).

A: The solution is given by using greens theorem as follows

Q: Evaluate p xy da + a dy, where C is the rectangle with vertices (0,0), (3,0), (3,6), and (0,6).

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Q: The RCBD additive model is given by: A. i = n +3+T+eu B. = Hi +3+eu C. Y = Hi+n D. Yi =1+3, + Te +…

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

Q: A = p + prt for r ( banking)

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Q: Find a countermodel for the wff Vx3y p(x, y) →x p(x, x). Find a model for the wff Vx (p(x) → q(x)) ^…

A: A) Given: ∀x∃y p(x,y)→∃x p(x,x)The counter model for this function is ∃x∀y p(x,y)→∀x p(x,x)

Q: (C, + C2 x) e3x sno əbowou us ODE eneol y + 8y + 16y = 0 a. (C, + C2) e4x b. (C, + C2 x) e* c. (C, +…

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Q: The joint pmf of X and Y are given in the table below: Y X 4 2 15 1 15 15 15 15 2 3

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Q: J to m

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. аєL; VxeL xb,ха,bx€L 5. ає L; VxєL xb,ах,bx€L 5. ає L; Wx€L xb,xbaєL

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Q: The joint pmf of X and Y is given in the following table. y P(x.v) 1 0.02 0.06 0.03 2 0.07 0.15 0.20…

A: Solution

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 27 15 6 15 1 15 3 15 3 15

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Q: (a) What is the support of Y? (b) Find P(Y = 2).

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Q: Use resolution to show ∀x∀y[p(x,y) → ¬p(y,x)] models ∀x¬p(x,x)

A: Please look into the next step for detailed answer

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = xy + yz + xz

A: Given: fx,y,z=xy+yz+xz

Q: (E,E2 – k)z(k, l) = 0, - (E1 – kE,')z(k, l) = 0. -

A: The given operator form is: E1E2-kzk,l=0             (1)

Q: Let C: |z – i| = 3 and I = $. dz. Then e 6z z2

A: By using Cauchy integral's formula for nth derivative.

Q: 9 Find if y = 7x by using the Chain Rule with y as a composite of the following. dx a. y = 7u° and…

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Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 15 6 15 1 15 3 2 15 3 15

A: Here we have to find the variance V(Y) from the given joint distribution table

Q: Given A E R3X3, 1 = |1|,02= 1 , V3 = 0, w2 = -2 1 2 -4 Av1 = 01, Av2 = w2, Au3 = 03. %3D %3D %3D

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Q: QI/ If F = xi+yj+zk find the divF.

A: By see this solution