W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. : 7, и( - 3, 2) — 6, o( — 3, 2) — 4, v.(- 3, 2) — 8, v:( — 3, 2) — — 9, 3, then find the following: If u( - 3, 2) — 5, и, ( — 3, 2) F(5, 4) 9, and F(5, 4) w.(3, 2) W3, 2) =

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find d. A-D e. A x B f. BxB g.…

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Q: 1. Find the value for a and the value for b such that au + bv = w if u=(-2,3), v= (1,–3), and…

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Q: If f(x1,..,x „,0) = g(6,0) h(x,..,x„), then ê® is Select one: a. sufficient b. efficient C.…

A: Introduction :-  We have to select most correct option for the given statement. Basically it is a…

Q: Q.2: Find u x v, where a: u = (1,–3,4) & v = (3,4, 7), ats b: и %3D (1,2,3) &v %3D (1,5, 2).

A: Given: a u=1, -3, 4 and v=3, 4, 7b u=1, 2, 3 and v=1, 5, 2 To Find: u×v=?

Q: 1२ '२ 12 factoo

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Q: d. Vx e R+, 3y e R+ such that xy = 1. Select one: O True O False

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Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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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 R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

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Q: Given z=f(x, y), z = x(u, v), y=y(u, v), with z(7,5) = 5 and y(7,5)=3, calculate z, (7,5) in terms…

A: The given function is z=fx, y, x=xu, v, y=yu, v. The given table is fx7, 5=2 fy7, 5=a xu7, 5=2…

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Given x = (-1, -2,-2), u = (0,1,4), v = (-1,1,2), and w = (3,1,2) in R', find a, b, and c such that…

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Q: = (-10,6, –4) be in R and a be in R. Then , 36 , Let x ат — ).

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Q: Let v (k,2k,1) and w (k,-1,-8). For which values of k are v andw orthogonal?

A: Calculation:Since it is given that v and w are orthogonal, v ∙ w = 0.

Q: H.W: Find f, fw, fx and fy if f(x, y) = x+ y+ xy yy>

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Q: Suppose ū = (0, -3, –2) and ū = (-1, –4, –5). Then: u + v= u – v= v – u= 5u= 2u – 4ū=

A: Givenu¯ =0,-3,-2v¯ =-1,-4,-5

Q: Consider the following. u = (-5, 5, 4) v = (0, 1, 6) Find u x v.

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Q: H.W: Find fr, fyand f if f(x,y, z) = x-Vy +z

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Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

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Q: = [4, 3, 0] v = [-2,0, –3] u = u x v = Ex: 5 Ex: 5 Ex: 5

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Q: If u = 2i + 5j; v = i - 2j; w = 3i - j, so u + v * w is:   -3   3   6 -6  9

A: Given that: u = 2i + 5jv = i - 2jw = 3i - j To find: u + vw

Q: Let v = (5, 1, 2) and w = (4, –3, 6). Find each of the following: v+ w, v– 3w, || v||, || v – w ||

A: Solution: The objective is to find the required values

Q: ..***a***** . Let x (m, 1,0,-2)", m > 0 and ||x||2 = V30, then Select one: a. 6 b. 7 с. 5 d. 4

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Q: c. (18,-11,9,8) d. (18,11,9,-8) 2. x = (-1, -2,-2), u = (0, 1, 4), v = (-1, 1, 2), and w = (3, 1,…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. Find all real numbers t for V = (20 t,4t - 4,5t², t²) are orthogonal. - which = (1,5t,-4t, t³)…

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Q: If X= { a, b, c, d } and Y = { f, b, d, g},      find. (i) X – Y           (ii) Y – X          (iii)…

A: The given sets are