Let X = {x, y, z} and B={{x,y}, {x, y, z}} and C({x,y})= {x}. Which of the following are consistent with WARP? X. C({x, y, z})= {y} b/C({x, y, z})= {x} ✅ C({x, y, z})= {x} XC({r,y,z})={z, }

Q: 1. Let A = {a, b, c}, B = {1,2,3}, C = {x, y, z, w}, D = {4,5, 6}. Let the functions f : A → B, g :…

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Q: 11 6 linear combinations of x, y, and z, or show that it cannot be done. Let x = 120 and z = TTTT If…

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Q: (x + y + z) dA. 3,

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Q: 25. Show that |v|u + Ju|v and |v|u – |u| v are orthogonal.

A: Two vectors are orthogonal if their dot product is zero. If the dot product of two vectors is zero,…

Q: What is the Jacobian of a and y with respect to u and v if = u? + 2v and y = u?v? %3D O 2u - 4u²v O…

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Q: Evaluate e fry²dæ + x³dy, where C' is the rectangle with vertices (0,0), (4,0), (4,2), and (0,2)

A: We apply the green's theorem to solve the given problem.

Q: b = Find whether {a, b} linearly independent or not. 5. Let a are

A: Given a = 20 , b = 07

Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

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Q: Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} α1. Find…

A: Since you have given two different questions therefore we will solve the first for you. IF you want…

Q: Lengths of all sides of the triangl Both types (vector and parametr Both types (vector and parametr

A: Here, in the question, we have to pick three non-collinear points A, B & C ( A(2, -1, 2), B(-3,…

Q: 10. Given two vectors u = [2,4] and v = [6,2]. determine the projection of u on v.

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Q: _3. Let x be a convex combination of {y1, . . , yk }. Assume in turn that each y; is a convex…

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Q: 5. If r = (r, (x, y, z) and ro = (xo, Yo, 20), describe precisely the set of all points (r, y, z)…

A: We plug the given values in the given equation and simplify

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Q: If |ū| = 4, |v|=5, |ū-v=6, determine |ū+ v.

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Q: Compute the Jacobian G(u, v) = (6ue", 3+3e"). (Use symbolic notation and fractions where needed.)…

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Q: 5. Find aw a. ду дw b. ду at the point (w, x, y, z) = (4, 2, 1, –1) if w = x²y² + yz – z3 and x² +…

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Q: Find x, y, z, and w. X II y II Z = W = y (x 5) (2x - -1 [** (*+5] - [(²9) + -] = z 8 8y (9 y) -8…

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

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Q: 2. Let U = {a + bx + cx2 + d³ e P3 (R) | a- 6+d3D0}, and let W = {a + bx + ca? + dx³ e P3(R)| a + 2c…

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Q: 3) Let U={ 1, 2, 3, 4,5}, X= { 1,3,5}, Y= { 1,2,3}, and Z= 3,4,5} a. Find X U YU Z. b. Find X N Y c.…

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Q: 2. Let A = {a, b, c}, B = {x, y, z}, C = {r, s,t}. Let f : A → B and g : B → C be defined by: f =…

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