IDZ 6.2 - Option 18. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.18 y = 7x - ctgy

2. Find the y ´and y´ ´
2.18 x = 3 (sint-tcost) y = 3 (cost + tsint)

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.18 y = x + arctgx, x0 = 1

4. Write a formula for an arbitrary n-th order of the specified function.
4.18 y = 1 / (x - 6)

5. Solve the following problems.
5.18 To find out at what point of the curve y = 2x3 - 1 is tangent to the axis Ox angle π / 3.

6. Solve the following problems.
6.18 The law of motion of a material point s = 1 / 3t3-2t2-11t + 275. At one time its velocity is equal to 10 m / s