State whether each of the following series converges absolutely, conditionally, or not at all. n E(-1)* , n+1 250. n+3 n=1

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Q: f (x, y) = 3x? + y + 4xy + 8 %3D af(z,y) when x = 2 and y = 1? dy What is the value of

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Q: uestion 4. Evaluate the value of the integral 2. COS cos (30) dr. 5- 4 cos(20) 2x

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Q: Determine whether each improper integral below converges or diverges. 1. S xe*dx -3x хе 1

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Q: b) Use the Ratio Test to determine if the series converges or diverges. n5" Z (2n + 3)ln (n + 1) n=1

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Q: 4444 is divided by a 1.19) find the remainder when 4444 * 2?=-1 (mod a).

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Q: 28. Show that if p and q are distinct primes, then p-1+qP-=1 (mod pq).

A: To prove: If pand q are distinct primes then, pq-1+qp-1≡1(mod pq).

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