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1. Solve the following tasks:
1.14 The person you need to get from point A located on one side of the river, to point B at the other shore. Knowing that the speed of movement along the shore in k times the speed of the water, to determine the angle at which a person must cross the river to reach the point B in the shortest possible time. The width of the river h, the distance between points A and B (along the coast) is a.
2. Carry out a full investigation of these functions and build their schedules.
2.14 y = (x - 2) 2 / (x + 1)
3. Carry out a full investigation of these functions and build their schedules.
3.14 y = lnx / x
4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.14 y = x / (9 - x2), [-2; 2]
1.14 The person you need to get from point A located on one side of the river, to point B at the other shore. Knowing that the speed of movement along the shore in k times the speed of the water, to determine the angle at which a person must cross the river to reach the point B in the shortest possible time. The width of the river h, the distance between points A and B (along the coast) is a.
2. Carry out a full investigation of these functions and build their schedules.
2.14 y = (x - 2) 2 / (x + 1)
3. Carry out a full investigation of these functions and build their schedules.
3.14 y = lnx / x
4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.14 y = x / (9 - x2), [-2; 2]
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- Added to the site 08.07.2025
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Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.
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