IDZ 6.4 - Option 18. Decisions Ryabushko AP

1. Solve the following tasks:
1.18 out of a paper circle cut sector and from the rest of the glued conical funnel. What should be cut angle sector, that the volume of the funnel was highest?

2. Carry out a full investigation of these functions and build their schedules.
2.18 y = xlnx

3. Carry out a full investigation of these functions and build their schedules.
3.18 y = 4x / (4 + x2)

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.18 y = (e2x + 1) / ex, [-1; 2]