Problem 1. Let A = {a,b,c}, B = {1,2,3}, and C = {2,3,4}. Find (1) AX (BUC) (2) (A x B) U (A x C) (3) Ax (BNC) (4) (A x B) n (A x C)

Q: (6) Compute ind2 (19) modulo 101.

A: We recall the definition of a primitive root.

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A: To Proof: For a fixed n>1 , all the solvable congruences x2 ≡ a ( mod n ) have the same number of…

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Q: can you do part b please.

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Q: Find the inverse Laplace transform for O tu (t) ○ tetu (t) O te¯tu (t) ○ etu (t) 1 (8+1)²

A: We have to find the inverse Laplace transform of the function.

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A: Since you have uploaded multiple questions according to our guidelines we have solved first question…

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Q: Decide whether each of the following sequences con- Problem 0.2 verges or diverges. If it is…

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Q: L 2 8st2 }

A: We have to find the inverse Laplace transformWe know that

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Q: and let B = {1,2,3,4}. Provide examples injective surjective injective but not surjective surjective…

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Q: Project: Modeling fish populations for Eco Fisheries, Inc. Eco Fisheries, Inc. operates a hugely…

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Q: Z₁' (t) = -6₁2 + 1.12₁ -0.822 Z₂²' (t) = -13.8 +2.12, -1.222 Z₁ (0) =11 Z₂₁₂ (0) = 4

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Q: ·0-0-0 6= Az = 6, where A = How many least-squares solutions does this system have? (A) 0 (D)…

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Q: Find the area of the region. y=1/2x^2, y=3x^2, x+y=4, x ≥ 0

A: Given that the curves:            To find the area of the region.

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Q: 14. Discuss the differentiability at x = 0 of the function 1 x sin -, x = 0, x 4.1. The Derivative…

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