DHS 14.2 - Option 21. Decisions Ryabushko AP

DHS 14.2 - Option 21. Decisions Ryabushko AP

1. Show that this expression is a total differential of the function u (x, y). Find u (x, y) function
1.21. y (exy + 5) dx + x (exy + 5) dy

2. Solve the following tasks:
2.21. Calculate the mass of a quarter ellipse arc x2 / 4 + y2 = 1, lying in the first quadrant if the linear density at each point is equal to the product of the coordinates of this point.

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