Reshebnik Ryabushko. Solved IDZ 6.4, Option 14
Replenishment date: 12.08.2020
Content: 14v-IDZ6.4.rar (73.44 KB)
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Description
1. Solve the following tasks
1.14 A person needs to get from point A, located on one side of the river, to point B on the other bank. Knowing that the speed of movement along the bank is k times greater than the speed of movement along the water, determine at what angle a person must cross the river in order to reach point B in the shortest time. The width of the river is h, the distance between points A and B (along the bank) is equal to a.
2. Conduct a complete study of the specified functions and build their graphs.
2.14 y = (x - 2) 2 / (x + 1)
3. Conduct a complete study of the specified functions and build their graphs.
3.14 y = lnx / x
4. Find the smallest and largest values of the function y = f (x) on the segment [a; b]
4.14 y = x / (9 - x2), [–2; 2]
1.14 A person needs to get from point A, located on one side of the river, to point B on the other bank. Knowing that the speed of movement along the bank is k times greater than the speed of movement along the water, determine at what angle a person must cross the river in order to reach point B in the shortest time. The width of the river is h, the distance between points A and B (along the bank) is equal to a.
2. Conduct a complete study of the specified functions and build their graphs.
2.14 y = (x - 2) 2 / (x + 1)
3. Conduct a complete study of the specified functions and build their graphs.
3.14 y = lnx / x
4. Find the smallest and largest values of the function y = f (x) on the segment [a; b]
4.14 y = x / (9 - x2), [–2; 2]
Additional Information
The solution is executed in Microsoft Word 2003. The document with the IDZ solution is archived in the WinRar program.