IDZ 6.4 - Option 27. Decisions Ryabushko AP

1. Solve the following tasks:
1.27 Receptacle with vertical walls the height H, filled with an inviscid fluid, is on a horizontal plane. Determine the location of the hole in which the range of the jet will be greatest if the rate of effluent is equal under the law Torricelli √2gx, where x - the distance from the hole to the surface of the liquid; g - acceleration of free fall.

2. Carry out a full investigation of these functions and build their schedules.
2.27 y = x2 + 1 / x2

3. Carry out a full investigation of these functions and build their schedules.
3.27 y = -xln2x

4. Find the minimum and maximum values of the function y = f (x) on the interval [a; b]
4.27 y = (3 - x) e-x, [0; 5]