DHS 14.2 - Option 9. Decisions Ryabushko AP

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1. Show that this expression is a total differential of the function u (x, y). Find u (x, y) function
1.9. (Exy + xyexy + 2) dx + (x2exy + 1) dy

2. Solve the following tasks:
2.9. Calculate the coordinates of the center of the arc of a homogeneous mass of one arch of the cycloid x = t - sint, y = 1 - cost.

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