IDZ 6.2 - Option 6. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.6 arcctgy = 4x + 5y

2. Find the y ´and y´ ´
2.6 x = √t y = 5√t

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.6 y = e-xcosx, x0 = 0

4. Write a formula for an arbitrary n-th order of the specified function.
4.6 y = 1 / (x + 5)

5. Solve the following problems.
5.6 Write the equation of the normal to the curve y = x3 - 5x2 + 7x - 2 at the point (1, 1)
 
6. Solve the following problems.
6.6 The law of motion of a material point s = t4 - 3t2 + 2t - 4. Find the velocity of motion