IDZ 6.4 - Option 30. Decisions Ryabushko AP

1. Solve the following tasks:
1.30 Out of round logs whose diameter d, required to cut a beam of rectangular cross section. What should be the width and height of the cross-bar to have the greatest resistance to bending? Resistance to bending of the beam is proportional to the product of Q x width of its cross section and the square of its height y, i.e. Q = kxy2, k = const.

2. Carry out a full investigation of these functions and build their schedules.
2.30 y = 5x / (4 - x2)

3. Carry out a full investigation of these functions and build their schedules.
3.30 y = ln (4 - x2)

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.30 y = x4 / 4 - 6x3 + 7, [16; 20]