Let X = {1, 2, 3, 4} and Y = {u, v, w, s}, and define h: X → Y as follows:  h(1) = v, h(2) = s, h(3) = v, h(4) = v.  Let A = {v, s}, what is h-1(A)?       {v, s}     {1, 2, 3, 4}       {u, v, w, s}       {1, 2, 3}

Q: Let X {1,2, 3} and Y {3,4}. Define f : X → Y as follows: = f(2) = 3 and f(3) = 4. Draw an arrow…

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Q: (a) please find the value of A and B  (b) The support of (U,V), namely the values of u and v that…

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

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Q: 17. -4 Compute and compare u•v, u|2, Ivl2, and Ju +v2. Do not use the Pythagorean Theorem. Let u= -…

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Q: When I was considering what to do with my $10,000 lottery winnings, my broker suggested that I…

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Q: |u| = |v| show that (u + v) • (v - u) = 0 is logically equivalent to condition u⚫u=v•v

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Q: If v = (2, 2, 0) and w = (-1,4, 0) , what is v × w ? (10, 0, 0) о (), 0, 6) (0, 0, 10) о (10,0, 6) О…

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Q: Find u, v, and u + v. u = (0, 1, 1, -2), (a) ||ul| (b) ||v|| I (c) ||u + v v (2, 4, 0, 1)

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Q: Let j = 7 and U=span(ü), with ü = -6. Write j = ã1+ã2, where 1 in U and az in U-.

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Q: Let W(s,t) F(u(s, t), v(s, t)) where u(1,0)-4, u,(1,0) 3, u(1,0)- 5 v(1,0) 7, v.(1,0)=-3, v(1,0)--6…

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Q: Let X and Y have the following joint probability density function: fx,y(x,y) = 1 / (x² y²), for x>1,…

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Q: Let V R2, W1 = {(x,0) : x E R}, W2 = {(0, y) : y € R}, and W3 Prove that V =W1 W2 = Wı W2 = W2 W3.…

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Q: Given u = (0,1, -1,2) and v = (1,1,3,0) find ||u + v||

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Q: 2. Let g (x, y) = 2x² – y² . Compute 9(1, 2), g (2, 1), g (1, 1), g (–1, 1) and g (2, –1).

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Q: Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case,…

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Q: ● Let A = [0, 1) and B = [1,2] U [1,2], then (2 pts) Find sup (An B), sup (A), and sup B

A: Given that and Now, recall  the fact  the definition of Supremum.Let (1) (2) For any there exists  a…

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

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Q: Let u = (-7, 1, 5) and 7 = (5, 3, 4). —

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Q: Prove that u × 0 = 0 × u = 0.

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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: For which values of C is the set C linearly dependent? 3. C = -1, 2 C=-1,-2 C=1,-2 C= - 1, 1 O c=1,…

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Q: U is a neighborhood of x0 and U ⊂ V, The V is a neighborhood of x0. (2) If U1 ...., U2 are…

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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: Find ||u||, ||v||, and ||u + v||. (1, -2, 0, 2), v = (0, 3, 2, 1) u = (a) ||u|| (b) ||v|| (c) ||u +…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…