1. Let the universal set be the set S = {1,2,3,4,5,6,7,8,9,10} and let A= {1,2,3,4,5} , B = {2,4,6} and C = {3,6,9} Find: a. ANB= b. AUB = c. A-B= d. A° = e. P(C) = f. B×C=

Q: 1 Determine whether or not the three given points le on a ne A (1,1,2), B(-1,-9, 3), C (3,2,1) 2.…

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Q: 6. Given the universal set U ={x | x e 1, -10 sxS 10} A = {-2, -1, 0, 1, 2, 3 } B = {2, 3, 4, 5, 6,…

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Q: = (-4, –1,6) and v = (3, –2, 1) and let 0 be the angle between u and v. Then, Let u = OA. 0 = 0. O…

A: in this question, firstly calculate the dot product of vectors and find the angle using formula.

Q: Fourier series representation of the periodic below if c = 43 and d = 12. Then, find the 0024.png 0…

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Q: a. Vitali Theorem

A: a) Here, the Vitali Theorem has to be defined and it is also defined as a fundamental result in…

Q: 1. Determine the possible values of a, b and c, such that alb,ac and bif: a = [a, 5, 1], b = [-5, b,…

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Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: I. Solve the following linear differential equation. 1. dy/dx + y/x = x 2. dy/dx + (x+1)y =x

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Q: Let P be the set of points (x, y) in the coordinate plane such that 3x + y = -4, and 0 s x s 3.…

A: Given that, In the coordinate plane, P is the collection or set of all the points x, y which follow…

Q: Rhombus LM wth varticeE A-10, 21. KT-2, 0, 4, 20. and M-2,-4: %

A: I have transformed to half size.

Q: A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 200, n(B) = 160, and n(A N B)…

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Q: How many planes in the diagram contain point W? O 3 O 4 O 2 O 1 o search

A: Given query is to find number of plane at point W.

Q: O -L -5) O4-

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Q: Let A = (-2, 4)., and B = [0, 0). Choose sets that are infinite and uncountable. O B° \ A O Bº nQ O…

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Q: For P = {2, 4, 5, 8), Q = (2, 6, 11), and R = 14, 6, 8, 11), find P U (Q n R). T h e a n s w e r i s…

A: NOTE: Refresh your page if you can't see any equations. .

Q: a Let W ER a + b+ c = 0 Prove that W is a subspace of R Find a basis for W and state the dimension…

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Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: Let A = [3, 8], and B= (-00, 4). Choose sets that are infinite and uncountable. O P(ANN) O P(AnQ) O…

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Q: (b) Let={A i EN} be a family of sets with A₁ CA₂ CCA10 C... Prove that nA = A₁.

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Q: Let 4, B, and C be sets. Show that а) (А — В) — С сA-C. b) (А — С) n (С- В) 3D0.

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.