DHS 14.2 - Option 4. 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
1.4. (Y2exy2 + 3) dx + (2xyexy2 - 1) dy

2. Solve the following tasks:
2.4. Calculate the weight of the arc of the curve y = lnx, between the points with abscissas x = √3 and x = √8, if the arc density at each point is equal to the square of the abscissa of the point.

Additional information

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


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