Let v f(x,y) and w f(x, y). Choose a correct formula %3! to determine where J is a Jacobian. dv aw ax ду ax ax av dv av aw ax ax ay %3D av av

Q: Let u = Al 2 [R and v= find a and b such that au + bv [:] 3

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Q: 1. df Find the formula for dx f(x) = %3D +X. 8. 16 O A. 8 1 B. O B. 8 7. O C. x- X-5 O D. 8x- 7/2

A: First of all find inverse of f(x) and then differentiate it.

Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: c) Find u (v x w) if u = [0,0, p], v = [0, q, 0] and w = [r,0,0]. %3D

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Q: Let u = (5,-5, -7) and 7 = (-6, 1, 2). Compute the following: úxv= v X ū= úxu 3 (u xv) = ū × (30) =…

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Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Find the covariance between x and y

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

A: u = (1, 2, 3)3u = (3×1, 3×2 , 3×3)3u = (3, 6, 9)v = (2, 2, -1)w = (4,0,-4)

Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: Calculate Jazyz if Ax,y,2) = 5x³ + 7x²y³ + 2y³ + 2z³. O A frzy: = 5x2 - 7xy O B. frzy2 = O C. None…

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Q: Let z=x+iy  Let w=a+ib

A: To prove the equality of the two given angles

Q: If x and y are both less then 0 and xy

A: Given, x and y are less than 0. Then xy = ?

Q: Express E: livenr coumbination of Ÿ; = and V as a

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Q: Show that (AB)T and BTAT are equal.

A: Now,

Q: Compute the Jacobian G(u, v) = (9ue", 2 + 3e“). (Use symbolic notation and fractions where needed.)…

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Q: If u = [3, - 1] and v = [1,4],compute and draw u + v.

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Q: how that ℝ3 = span( 1 1 2 1 2 1 0 3 -1

A: We want to show that  any vector can be written as linear combination of the three  given vectors…

Q: Find M My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations. x…

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Q: II Which of the following operators are linear? > LU = Ux + xUy > (ii) LU = Ux + U² y

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Q: Let y = = 5 + 4 ՂԱ - and ux³ - 2x. =

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