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IDZ 10.2 - Option 17. Decisions Ryabushko AP

IDZ 10.2 - Option 17. 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)

1.17 S: 2x2 - y2 + 2z2 + xy + xz = 3, M0 (1, 2, 1)

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

2.17 z = arccos (4x - y)

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

4.17 z = 2xy - 5x2 - 3y2 + 2

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

5.17 z = 2x2 + 2xy - 1 / 2y2 - 4x, D: y = 2x, y = 2, 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.