DHS 14.2 - Option 21. 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
1.21. 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.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)


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