IDZ 6.4 - Option 25. Decisions Ryabushko AP

1. Solve the following tasks:
1.25 isosceles triangle inscribed in a circle of radius R, revolves around a straight line, which passes through its apex parallel to the base. What should be the height of the triangle, so that the body resulting from its rotation, had the largest volume.

2. Carry out a full investigation of these functions and build their schedules.
2.25 y = x3 / (x4 - 1)

3. Carry out a full investigation of these functions and build their schedules.
3.25 y = (x - 1) e4x + 2

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.25 y = 3x4 - 16x3 + 2 [-3; 1]