E = 2 + 4 + 6 + · · · + 98 P = 1 + 3 + 5 + · · · + 99 Without computing the sums, determine which is greater, E or P, and by how much.

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Q: 2- Manually calculate the following. a. 9100 (mod 11) b. 13241 (mod 35)

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Q: If y(x) is a solution of (1-2-2xy +42y = 0, find the value of y'(1).

A: It is given that yx is a solution of 1-x2y''-2xy'+42y=0. The objective is to evaluate y'1.

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Q: Evaluate a. b. x³+4x-In(x C. x³ +1 x+2 dx x³ + x² + 4x + 7 ln(x + 2) + C + 2) + C d. 2223²2|m x3 2…

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Q: do

A: Here we use Conditional Law and Distributive laws.

Q: 27. Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10). Find a)…

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