individual examination. Work Higher Mathematics VK96-4in

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Individual examination papers on the subject of "Higher Mathematics" (code VK96)

Task 1. Find the solution of the differential equation:

Task 2. A - the set of roots of the equation 3x2 - 12x - 15 = 0, - the set of roots of the equation x2 - 3x - 10 = 0, C - the set of roots of the equation x3 - 10x2 + 25x = 0.
1) Record of A, B, C, listing its elements.
2) List the properties of each set.
3) Come up and write down the set M:  A and M | M |> | B |.
4) Follow the A  B, A \\ C, A  B  C,  S.

Task 3. Fired 400 lottery tickets, 25 tickets and bring their owners a prize of 200 rubles, 500 rubles 20 tickets, 15 tickets for 1,000 rubles, the remaining tickets are lose-lose. Create the distribution law for the owner of the winning ticket. Find the expectation of the random variable. Based on the results specify output.