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} 5) Find X-Y 6) Find XN (X- Y) 7) Find (XυY) υ Ζ Lind

Q: Find cot β if csc β= -(3 √5)/5 and sec β=-3/2 A) (√5)/2 B) (9 √5)/10 C) (5 √5)/2 D) (2 √5)/5

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Q: 1 [ u(vū+ vu) du = 0.

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Q: 6. Find UV (dot a) Ū · V = (2, 3, -

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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: a) Find ū - i b) Find w.u 1/2

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Q: 8. Determine the dot product of u = [7,-4.1] and v = [3.-2.2].

A: Dot product is also known as the scalar product.

Q: Let U = {1,2,3,4,5), A={1,2,5}, B = {1,4,5), and C= {1,2,3}. (a) Find A U (BUC). (b) Find (A U B) U…

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Q: Show that if an = 3n3-17n2 + 2n-6, then an = Θ(n3).

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Q: Find the value of y in the following y = 3* a) 1. x = -3, y = 2. x = -2, y = 3. x = -1, y = 4. x =…

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Q: 9. In triangle ABC, point E (5,1.5) is the circumcenter, point H (4.3, 2.3) is the incenter, and…

A: Solution:- The given triangle is  E(5,1.5) be the circumcenter of the circle. then, we have to find…

Q: Compute the Jacobian at the indicated point. G(r, t) = (r sin (t), r – cos (t)), (r, t) = ( 6,…

A: Jacobian of the function at a given point

Q: Find YI if YI =x - 5 and YV= x – 4 Y \I V Z.

A: We will find the solution in the following step

Q: y 2+ 1+ (A) (3,1) (B) (2,1) (C) (2,-1) (D) (1.5,0.5) (E) (1,0) 0 -1 P 2 3 Q(3,2) In the figure…

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Q: 2 a) Solve x y'= (2+ yx)·

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Q: 15) Find u x v for u = and v = .

A: Given vectors are, u = -7, 1, 12 = -7 i^ + j^ + 12 k^v = 2, 2, 3 = 2 i^ + 2 j^ + 2 k^

Q: Compute the Jacobian for the substitutions x = ρsinφcosϴ,  y = ρsinφsinϴ,  z = ρcosϴ.

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Q: Evaluate ([cos (x – y)sin(x+ y)dA, where R is the triangle with vertices (0,0), R (-1,7), and (7,7)…

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