IDZ 6.2 - Option 24. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.24 x4 + x2y2 + y = 4

2. Find the y ´and y´ ´
2.24 x = 5sin3t y = 3cos3t

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.24 y = ln3x, x0 = 1

4. Write a formula for an arbitrary n-th order of the specified function.
4.24 y = ln (1 / (4-x))

5. Solve the following problems.
5.24 Find the point on the curve y = 3x2 - 4x + 6 tangent which is parallel to 8x - y - 5 = 0?

6. Solve the following problems.
6.24 At what point of the parabola x2 = 10y abscissa grows five times faster than the ordinate?