IDZ 6.4 - Option 20. Decisions Ryabushko AP

1. Solve the following tasks:

1.20 Point B is located 60 km from the railway. The distance by rail from point A to point to the nearest point in C is 285 km. At what distance from the point C is necessary to build a station from which will pave the highway to step in to spend the least time on the movement between points A and B, if the speed of the railway is 52 km / h, and the speed of traffic on the highway - 20 km / h

2. Carry out a full investigation of these functions and build their schedules.
2.20 y = (x2-3x + 2) / (x + 1)

3. Carry out a full investigation of these functions and build their schedules.
3.20 y = ln (x2 - 2x + 6)

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.20 y = x3ex + 1, [-4; 0]