IDZ 6.4 - Option 14. Decisions Ryabushko AP

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]