Higher Mathematics VK96 t = 0 4

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Uploaded: 20.12.2012
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Task 1.
Explore the convergence of the improper integral:
Task 2.
For the manufacture of products A and B factory consumes as raw steel and non-ferrous metals, available in limited quantities. These products are manufactured with the help of lathes and milling machines. Determine the production plan in which maximum profit is reached. Input data are given in the table below:

Type of resource in resources, the application rates for one product
A B
Steel (kg) 570 10 70
Non-ferrous metals (kg) 420 20 50
Lathes (machine-hour) 5600 300 400
Milling machines (machine-hour) 3400 200 100
Profit (conv. Units). 8 March

1. Provide a mathematical model of the problem.
2. Define her look.
3. Solve this problem in any way known to you.
4. Give the full verbal response.
Task 3.

There are 12 units sold in the same packaging. It is known that 5 of these items of one type. Randomly selected 3 units of goods.
1. Write down a complete system of events of this test. How many elementary events account for each event?
2. Find the probabilities of all possible events of this test.
3. Check the calculation of the total probability formula.
4. Locate the following two ways probability events "among the selected three packages, at least one of them was 1 grade product."
5. Make the law of distribution of units sold in the 1st grade sample of 3 units. Write it down in a table of distribution. What is the most likely outcome of such a sample?

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