Consider the following sets A = {x |x > 1}, B = {x E N|1< x < 3} and C = (-2, 2). %3D 1. Find: (а) Вnс (b)|B n C| (c) P(B n C) 2. Proof if the following statement is true: (A U B) nC = (A O C) u (B n c'}.

Q: 3. Evaluate || (3y+ 2x“) dA, where R = {(x, y) E R² : |x|+|y| < 1}. R.

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Q: (b) How can you use vectors to determine whether four points in 3-space lie in the same plane? 2.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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A: a) acbc = ab Taking the L.H.S of the above equation acbc Cancel the common terms, we get ⇒acbc ⇒ab…

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A: To find the multiplicity and the value for X.

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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: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

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Q: EN: Find a) zo value if P(Z > zo) = 0.7 b) P(-1.37 < T < 2.36) when v = 10 c) x² if P(x² < X² < 22)…

A: The question is about continuous prob. distributionIntroduction :Std. normal dist. : is a std.…

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A: We have to find the truth table for given statement.

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A: We will find answers to all the parts as following.

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A: We have to calculate  and .

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: ...=AxB|^2| JĀ X B|? al . B= 2ī + 27 – 2K 3Ā = -i- 35 -k JS là

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Q: Let w = f(x, y) with f E C² and x =h – kh, y = 4k. Which of the following statements are true?…

A: To find  Which of the given statement is true.

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

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A: Solution

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A: We have to prove b→×q→=b→·∇t→Tr-∇t→ for q→=∇×t→ b→×q→=b→×∇×t→          =b→×∑i^∂∂ti×t→…

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Q: 6 - En küçük kareler yönten katsayısı aşağıdakilerden O a) 0.776 O B) 0.556

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Q: 41. For ), find all values ofx and y such thatx,y)=0 simultaneously. and yr.y)=0 f(x, y)…

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A: We have to separate N2 from the equation

Q: Prove (A N (B U C) = Ā U (B U C) %3D

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Q: The joint pmf of X and Y are given in the table below: Y X 2 4 1 15 15 3 15 3 15 15

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Q: Additional Problem Prove the statement: 3X CZ such that Vx E X, 2 | x and 3 | x.

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Q: Given: P1: (A V B) ⇒ (C ^ D) P2: (DVE) ⇒F C: A⇒ F Prove that P1, P2 - C.

A: Given: P1: A∨B⇒C∧D; P2: D∨E⇒F; C: A⇒FTo prove: P1, P2⊢C