IDZ 6.2 - Option 8. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.8 3x + siny = 5y
 
2. Find the y ´and y´ ´
2.8 x = √t2-1, y = (t + 1) / √t2-1
 
3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.8 y = (2x + 1) 5, x0 = 1

4. Write a formula for an arbitrary n-th order of the specified function.
4.8 y = ln (3 + x)

5. Solve the following problems.
5.8 At what point of the curve y2 = 4x3 tangent is perpendicular to the line x + 3y - 1 = 0?

6. Solve the following problems.
6.8 The law of motion of a material point s = 4cos (t / 4 + π / 4) 6. Find its velocity at time t = π c.