IDZ 6.2 - Option 11. Decisions Ryabushko AP

1. Find the y ´and y´ ´

1.11 y = ey + 4x

2. Find the y ´and y´ ´

2.11 x = etcost y = etsint

3. For this function, the argument y and calculate x0 y ´´ ´(x0)

3.11 y = arcsinx, x0 = 0

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

4.11 y = 1 / (x - 3)

5. Solve the following problems.

5.11 Write the equation of the normal to the curve y = x4 / 4 - 27x + 60 at the point with abscissa x = 2

6. Solve the following problems.

6.11 The law of motion of a material point s = 5 / 3t3-1 / 2t2 + 7. At some point in time it will be equal to the speed of 42 m / s?