IDZ 6.2 - Option 4. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.4 x2 / 5 + y2 / 3 = 1

2. Find the y ´and y´ ´
2.4 x = 1 / (t + 2) y = (t / (t + 2)) 2

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.4 y = excosx, x0 = 0
 
4. Write a formula for an arbitrary n-th order of the specified function.
4.4 y = cosx

5. Solve the following problems.
5.4 Write the equation of the normal to the line √x + 4 at the point with abscissa x = -3
 
6. Solve the following problems.
6.4 The material point moves along the hyperbola xy = 12, so that its abscissa x uniformly increases with the speed of 1 m / s. How fast changes ordinate point when it passes the position (6, 2)?