IDZ 6.2 - Option 25. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.25 siny = xy2 + 5

2. Find the y ´and y´ ´
2.25 x = e-3t y = e8t
 
3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.25 y = 2x2, x0 = 1

4. Write a formula for an arbitrary n-th order of the specified function.
4.25 y = √x + 7

5. Solve the following problems.
5.25 Find the point on the curve y = 5x2 - 4x + 1 tangent which is perpendicular to the line x + 6y + 15 = 0?

6. Solve the following problems.
6.25 The axis Ox move two material points, the laws of motion are x = 2t3 -2t2 + 6t -