Suppose that (S, 31) and (T, 32) are posets. Show that (S x T, 3) is a poset where (s, t) < (u, v) if and only if s 31 u and t 2 v. Show your work in details.

Q: Find g(u(х, у, г), в(х, у, г), и(х, у, 2)) if g(x, y, z) = z sin xy, u(x, y, z) = x²z", v(x, y, 2) =…

A: Given:  (1) gx, y, z=zsinxy (2) ux, y, z=x2z3 (3) vx,y,z=πxyz (4) wx,y,z=xyz To find : gux, y,z, vx,…

Q: 4.3.a Use Theorem 9.4 to show that Y is sufficient for p 4.3.b Find the MVUE for p

A:

Q: Let u = (1, 2, 3), v = (4, 4, –2), and w = (6, 5, -5). Find z, where 2u + v - w + 3z = 0.

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Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

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Q: 2. If (x, y) → (x +3, y- 7)maps TUVWTO T'U'v'w', what is the algebraic description that will map…

A: Note: Multiple questions posted simultaneously, answer to the first question is given. If there is a…

Q: If |u| = 5, |v| = 2, and u • v = 7 find |u + 3v|

A: Topic:- vector algebra

Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S = (0, 1), T = [1/2, 3/2]

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Provided u = (0,2, 7, 5) and v = (-7,3,7, –5), find w such that 6u+v-7w = 0. 15 1.7. 25 ,7, 7 45 25…

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Q: if w= fcu) and メ show that U ニ メャy? X Jw うx ニ0

A: We have given;

Q: Express the following as a linear combination of u = (2, 1, 3), v = (1, -1, 4) and w = (3, 2, 6).…

A:

Q: Compute I ds over the path C : ř(t) = (t², 2t, t²) from (0,0,0) to (4, 4, 4).

A: Given path is:

Q: find g(u(x,y,z), v(x,y,z), w(x,y,z)) if g(x,y,z)=zsinxy, u(x,y,z)=x2z3, v(x,y,z)=πxyz, and…

A: Given, g(x,y,z)=zsinxyu(x,y,z)=x2z3v(x,y,z)=πxyzw(x,y,z)=xyz     Find g(u(x,y,z),v(x,y,z),w(x,y,z)):

Q: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

A: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

Q: I Find for each of the following. keving your anwer in terms of the parameter . 2r, y- 2

A: We have to find dydx for the following...

Q: Let X₁, X₂,..., X be a r.s. from N(,0) and Y₁, Y₂...., be another independent r.s. from m…

A: Solution

Q: Given u(x, t) = t-²e¯, 2 , compute:

A: We can find the required answer as below.

Q: For u=⟨4,−2⟩ and v=⟨−5​,5⟩​,find u•v.

A:

Q: Let X~U (0,0), then P(X > X²) is

A: Given that X~U0,θ fx=1θ-0=1θ, 0≤X≤θ

Q: Q1. Compute xdx x'+10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: The given integral is, I=∫01xdxx3+10 Dividing the interval (0,1)  into 2 intervals (for 3 points)…

Q: If →               →       v = (x, y), || v || = 4, and →           w = (−2x, −2y), then →…

A:

Q: aw Q1/ Find aw and when p=1, q=4, if: W= xy+yz+zu+uv and x-pq, y = qtan-'p, z= In(q-3p), u = Vq +…

A:

Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

A:

Q: What is the normal line to the line that passes through (-8 , 0) and (-1, 3) 3x-7y = - 24 O (x/8) +…

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Q: Express the following as a linear combination of u = (3, 1, 5), v = (1, -1, 4) and w (5, 7, 6). (14,…

A: Answer

Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 3, -4). Find z, where 2u + v - w + 3z = 0. z =

A: Given :u=(1,2,3)v=(2,2,-1)w=(4,3,-4)

Q: If w=f(p, q, r), where p-z2-y², q=y²-22, and r = 22-2², show that 1 Ow x 8x + 1 8w у ду + 18w z Əz…

A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

Q: if T(x,y) = (x,0) then Null(T) = span{(0,1)} Select one: True False

A:

Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 6) and w = (1, 6, 7).…

A: The objective is to find (7, 10,7) as linear combination of u, v, w.

Q: Let S={(x,y)∈N×N|(2−x)(2−y)<2(4−x−y)}.Prove that S=TS=T, where T={(1,1),(1,2),(2,1),(1,3),(3,1)}

A:

Q: Find image of a and preimage of b T(v1, v2, v3) = (4v2 – v1, 4v1 + 5v2) v = (2, -3, -1) , w =…

A: Given, T(v1, v2 , v3 ) = (4v2 – v1 , 4v1 + 5v2) v = (2, -3, -1) , w = (3, 9)

Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 5) and w = (4, 3, 8).…

A:

Q: Q1. Compute xdx x' +10 using trapezoidal and Simpson's 1/3 rules with the number of points 3 and 5.

A: we have  I=∫01x dxx3+10dx  n=3h=b-an=1-03=13…

Q: 3. Show that X = (x|Ax=b, x ≥ 0} is convex. following ure which no

A: As per our guidelines we are supposed to answer only one question.

Q: Let f(x, y) = In(x²y³), where r = s? + t? and y = 2s + 3t. Which of the following is a correct…

A:

Q: Find the Duf of S(x,y,z) = 3xvy+4xz² from Po(2,1,1) to P(4,7,2) %3D

A:

Q: Subst ), we nave > Zn-h 1 kn+1 h=1 = ) kin-1 Vn | 2 EWn-p 1 = Vn-1. kn p=1 Vn+1 Wn - H Hence, we see…

A: given equation (5) wn+1-μ∑p=01wn-p=∑h=12zn-hzn-ε  and  zn+1-ε∑h=01zn-h=∑p=12wn-pwn-μ also equation…

Q: 2.) Use the chain cule to find dz and d ond guen the fllowng: Yoy must show in work that your the…

A: We have to find partial derivatives.  Concept:

Q: If x = v'u and y = 2uv, show that JJ' - 1, where J is the jacobian of u,v with respect to x and y…

A: We have find the jacobian

Q: If f(x, y, z)=√x²y² z², then fxyz (x, y, z) = 2xyz √x² 1² z² Select one: True O False

A: Given: if fx,y,z=x2y2z2 then fxyzx,y,z=2xyzx2y2z2 We have to state if the given statement is true or…

Q: et f(x, у, z) %3 ху + z', Р %3D (3, 9, 1

A:

Q: Let V =(1,2,3,4),V=(0,2,t,3) and w=(!,!,,1) 1. Find t so that u t v and w are to each other. or…

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Q: Assume that z = ƒ(w), w = g(x, y), x = 2r^3 - s2, and y = re^s. If g x(2, 1) = -3, g y(2, 1) = 2,…

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Q: If f (æ, y, 2) = x²y – 3yz + 2æz* , then f (2, 1, –1) is 2 O 5

A: If f(x,y,z) =x2y-3yz+2xz3, then f(2,1,-1) is

Q: If A (x, y, z) = (5y – az) i + (3z + bx) j + (cy – 4x) k is conservative, what are the values of a,…

A:

Q: Let u = (1, 2, 3), v = (2, 2, –1), and w = (4, 3, -4). Find z, where 2u + v – w + 3z = 0. Z =

A:

Q: bet T be the relctiom an Axa olfined oy (Xı4) T(Ziwl iff xy=ZLW. Axa oifined oy Dine that T is an…

A:

Q: Let W(s, t) = F(u(s, t), v(s, t)) Assume u(1, 0) = 2, us(1, 0) = −2, ut(1, 0) = 6 v(1, 0) = 3, vs(1,…

A: To find Ws and Wt

Q: Suppose z = f(x,y) where x = Puv and y=u+tv². Given that z,(4,3) = 4 and z,(4,3) = – 1. Compute z,…

A: Explanation of the answer is as follows

Q: EF C and 0 are subsets of Y, then %3D

A: Solution for 6: Given C and D are the subset of Y. We have to show f-1(C)-f-(D)=f-1(C-D)