DHS 14.2 - Option 8. Decisions Ryabushko AP

DHS 14.2 - Option 8. Decisions Ryabushko AP

1. Show that this expression is a total differential of the function u (x, y). Find u (x, y) function
1.8. (Y / √1-x2y2 + 2x) dx + (x / √1-x2y2 + 6y) dy

2. Solve the following tasks:
2.8. Calculate the coordinates of the center of mass of the homogeneous semi-circle x2 + y2 = 4, symmetric with respect to the axis Ox.

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