IDZ 6.4 - Option 11. Decisions Ryabushko AP

1. Solve the following tasks:
1.11 tinplate strip width a, which has a rectangular shape to be bent in the form of an open circular cylindrical chute so that its cross section was shaped segment. What should be the central angle φ, based on the arc of the segment that has the highest capacity of the gutter?

2. Carry out a full investigation of these functions and build their schedules.
2.11 y = x2 - 2lnx

3. Carry out a full investigation of these functions and build their schedules.
3.11 y = x2e1 / x

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.11 y = xex, [-2; 0]