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IDZ 10.2 - Option 23. Decisions Ryabushko AP

IDZ 10.2 - Option 23. Decisions Ryabushko AP

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  • Find the equation of the tangent plane and the normal to the given surface S at the point M0 (x0, y0, z0)

1.23 S: x2 - y2 - 2z2 - 2y = 0, M0 (-1, -1, 1)

  • Find the second partial derivatives of the functions. Ensure that z "xy = z" yx

2.23 z = arccos (x - 5y)

  • To verify whether the above equation the function u.
  • Examine the following function extremum.

4.23 z = x2 - xy + y2 + 9x - 6y + 20

  • Find the maximum and minimum values of the function z = z (x, y) in D, given the limited lines.

4 5.23 z = (x - y) - x2 - y2, D: x + 2y = 4, x - 2y = 4, x = 0

Additional information

Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.