1. Let joint PMF of X,Y is as follows X Y 1 2 What condition should a and ß satisfy? 1 1/6 1/3 2 1/9 a 3 1/18 B

Q: Write the following equation in index form V(div v)+u x (vxw)=p(c®b)a VX W

A:

Q: 1. If f(x) = *, then f(x + h) = %3D 2. If f(x) =, then f(x + h) = 3. If f(x) then f(x + h) = Vx+2'…

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

Q: 3. Compute the value of F.dr if F = -yi + xj and C is a semicircle from (-1,1) to (1,-1).

A:

Q: 1.4 Which of the following equations are linear? (iii) x = -7y + 3z (i) x + 5xy – 2z = 1 1 (v) VTx +…

A:

Q: Given f(x, y) = = fx (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = − x5 + 4x²y² − 6y6, find

A: The objective is to solve the above question.

Q: Consider the following data set Xị -2 1 3 Yi -1 1 And the model y = ao + a‚Sin(x) In the sense of…

A: Consider the given table. xi -2 1 3 yi 2 -1 1 Now, using the least square method. Calculate…

Q: For the function f(x,y,z) = 4 + 5xy¹ − 32³, find fx, fy, and f₂. fx=0

A: Given function, f(x,y,z) = 4+5xy4-3z5   To be found - fx, fy, fz

Q: 5. Given the function f(x, y) = 4y? -+ety find each of the following. SIMPLIFY A) f,(x, y) В) f,(x,…

A:

Q: 4. Let u = and v = and w = Compute (u x v) x w. %3D 3

A: u×v=ijk-211103=3i-j-6-1+k0-1=3i+7j-k now find u×v×w u×v×w=ijk37-1-111 =7+1i-j3-1+k3+7 =8i-2j+10k

Q: Cholesky's Method • Check if symmetric • A = AT 1 1 1 1 2 2 1 2 3 11 1 Given: AT = 1 2 2 1 2 3 A =…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 583 grams and a standard…

A: Mean = 583 Standard deviation = 35 Sample size = 18

Q: 3. The value of k in the variation models y = kx and y = is called the of

A: The value of k in the variation models y=kx and y=k/x  is called

Q: BLet f sohisfies the following data 3. 2. 2. Use Muller's mc th od to fnd a, st

A:

Q: Find f, and f and evaluate each at the given point. 2xy x, - V+ ay (1, 1) K, ) - Sx, ) - (1, 1) - 29…

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

Q: Let a = -4/0; and b = 1/0, in the linear function Z = a + bX. Which of the following statements is…

A:

Q: S. S. (x + 2y)dydx = 10, Jo a

A:

Q: 23. The Newton's divided difference f[x1, X2, X3] for the data 1 4 f (x) 2 4 16 3. 2.

A:

Q: 2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D

A: We have to find [G:H]

Q: if X = y = Z = 2-1 3 1 3 3 2 -2x 2 X Z 14 find x, y, and z

A:

Q: If z = y¹ - 4y³ + 4y² - 1, then the set of values of y for which z' equals 0 is A. {0, 1, 2} B.…

A:

Q: la y is not measurable. Wan

A: Given a statement

Q: A gas station earns $3.10 in revenue for each gallon of regular gas it sells, $3.40 for each gallon…

A: The mean daily revenue will be: Thus mean daily revenue will be $7490

Q: 5. Find the equation that gives the FT of x,(t) * x,(t) * x,(t) where x,(t) is the rectangular pulse…

A: It is given that

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0

Q: Consider X and Y with fx,r(x, y) in the table. Specify whether X and Y are independent. x = 1 x = 2…

A: Given that  Joint probability distribution function of X and Y is    x=1 x=2 y=3 0.20 0.40…

Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

A:

Q: Evaluate f(2Vx +=) dx 3 4 X2 ++ c 3 A. - 3. -x2 - x +c 3 4 С. -X2 - 3 D. + 2x5 + c 1/5 B.

A: Integrate normally

Q: 13. Find the intersection of [x, y, z]= [-8,-3,-5] + t[1,2,-1] and [x, y, z]= [1,9,4]+s[2,1,7].

A:

Q: 5. Let f(x, y)= P(X =x,Y = y), X = 2,3,4, Y = 1,2,3, 4 , where P is given by the table below: X = 2…

A:

Q: Let a = (13)(58) and ß = (2368) € Sg. Find aßa-¹.

A: In given problem we product the given permutations from left to right .  To find inverse of any…