IDZ 6.2 - Option 21. Decisions Ryabushko AP

IDZ 6.2 - Option 21. Decisions Ryabushko AP

1. Find the y ´and y´ ´
1.21 y2 = x + ln (y / x)
 
2. Find the y ´and y´ ´
2.21 x = lnt / t y = t2 * lnt

3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.21 y = x2cosx, x0 = π / 2

4. Write a formula for an arbitrary n-th order of the specified function.
4.21 y = cos3x
 
5. Solve the following problems.
5.21 Find the point on the curve y = x3 / 3 - 9x2 / 2 + 20x - 7, in which the tangent parallel to the axis Ox

6. Solve the following problems.
6.21 The axis Ox move two material points, the laws of motion are x = 5t2 + 2t + 6 and x = 4t2 + 3t + 18. How fast these points

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