IDZ 6.4 - Option 9. Decisions Ryabushko AP

1. Solve the following tasks:
1.9 Beam 20 m long and has the shape of a truncated cone, a base diameter which is 2 m and 1 m. Requires knock beam from the beam with a square cross-section, the axis of which coincides with the axis of the log, and the volume would be greatest. What should be the size of the beam?

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

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

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.9 y = 4 - e-x2, [0; 1]