IDZ 6.2 - Option 20. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.20 3y = 7 + xy3
 
2. Find the y ´and y´ ´
2.20 x = e3t y = e-3t

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.20 y = ln (x2 - 4), x0 = 3
 
4. Write a formula for an arbitrary n-th order of the specified function.
4.20 y = 7x

5. Solve the following problems.
5.20 find out which points of the curve y = x3 / 3 - 5x2 / 2 + 7x + 4 is tangent to the axis Ox angle π / 4

6. Solve the following problems.
6.20 At what point of the parabola y2 = 8x ordinate increasing twice as fast as the abscissa?