IDZ 6.4 - Option 26. Decisions Ryabushko AP

1. Solve the following tasks:
1.26 is required to make public a cylindrical tank capacity V. Cost of 1 m2 of the material from which made the bottom of the tank is P1 p., And the cost of 1 m2 of material coming on the walls of the tank, - P2. In any respect to the radius of the bottom of the tank height the material cost will be minimal?

2. Carry out a full investigation of these functions and build their schedules.
2.26 y = (e2x + 1) / ex

3. Carry out a full investigation of these functions and build their schedules.
3.26 y = (2x2 + 4x +2) / (2 - x)

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.26 y = x5 - 5x4 + 5x3 + 1, [-1; 2]