IDZ 6.4 - Option 6. Decisions Ryabushko AP

IDZ 6.4 - Option 6. Decisions Ryabushko AP

1. Solve the following tasks:
1.6 Find the height of the cone of greatest volume that can be inscribed in a sphere of radius R.

2. Carry out a full investigation of these functions and build their schedules.
2.6 y = x2 / (4x2 - 1)

3. Carry out a full investigation of these functions and build their schedules.
3.6 y = x2e-x2 / 2

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.6 y = x3 / (x2 - x + 1) [-1; 1]

Additional information:

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