IDZ 6.2 - Option 13. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.13 y2 + x2 = siny
 
2. Find the y ´and y´ ´
2.13 x = 5cost y = 4sint

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.13 y = xsinx, x0 = π / 2

4. Write a formula for an arbitrary n-th order of the specified function.
4.13 y = e4x

5. Solve the following problems.
5.13 Write the equation of the normal to the curve y = 3tg2x + 1 at the point with abscissa x = π / 2

6. Solve the following problems.
6.13 The law of motion of a material point s = 5 / 3t3 - 2t + 7. Find its velocity at time t = 4c