DHS 14.2 - Option 14. 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
1.14. (Y2exy - 3) dx + exy (1 + xy) dy

2. Solve the following tasks:
2.14. Find the static moment with respect to the axis Oy smooth arc of the first round of the lemniscate Bernoulli ρ2 = a2cos2φ.

Additional information

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
For the convenience of viewing IDZ solutions on smartphones, an additional file in PDF format is sent

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