IDZ 6.2 - Option 19. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.19 xy - 6 = cosy

2. Find the y ´and y´ ´
2.19 x = sin2t y = cos2t

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.19 y = cos2x, x0 = π / 4

4. Write a formula for an arbitrary n-th order of the specified function.
4.19 y = 10x
 
5. Solve the following problems.
5.19 To find out at what point of the curve y = x3 / 3 - x2 / 2 - 7x + 9 is tangent to the axis Ox angle -π / 4

6. Solve the following problems.
6.19 The material point moves along the hyperbola xy = 20, so that its abscissa uniformly increases with the speed of 1