IDZ 6.2 - Option 16. Decisions Ryabushko AP

1. Find the y ´and y´ ´

1.16 siny = 7x + 3y


2. Find the y ´and y´ ´

2.16 x = arcsint y = v1-t2


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

3.16 y = xcos2x, x0 = ? / 12


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

4.16 y = e-5x


5. Solve the following problems.

5.16 Write the equation of the tangent to the curve y = 4sin6x at the point with abscissa x = ? / 18


6. Solve the following problems.

6.16 The axis Ox move two material points, the laws of motion are x = 5t2 - t + 6 and x = 4t2 + 18. How fast these points are removed from each other at the time of the meeting?