DHS 14.2 - Option 20. Decisions Ryabushko AP

DHS 14.2 - Option 20. Decisions Ryabushko AP

1. Show that this expression is a total differential of the function u (x, y). Find u (x, y) function
1.20. (Yexy - 2sinx) dx + (xexy + cosy) dy

2. Solve the following tasks:
2.20. Calculate the coordinates of the center of mass of the arc of the first turn of the helix x = 2cost, y = 2sint, z = t, if the linear density at each point is proportional to applicate point and at t = π is equal to 1.

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