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IDZ 10.2 - Option 8. Decisions Ryabushko AP

IDZ 10.2 - Option 8. 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)

1.8 S: x2 + y2 - xz - yz = 0, M0 (0, 2, 2)

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

2.8 z = arccos (2x + y)

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

4.8 z = x2 + xy + y2 + x - y + 1

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

5.8 z = 3x + 6y - x2 - xy - y2, D: x = 0, x = 1, y = 0, y = 1

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.