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IDZ 10.2 - Option 14. Decisions Ryabushko AP

IDZ 10.2 - Option 14. 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)

1.14 S: x2 - 2y2 + z2 + xz - 4y = 13, M0 (3, 1, 2)

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

2.14 z = cos (x2y2 - 5)

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

4.14 z = x3 + y3 - 3xy

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

5.14 z = 2x2 + 3y2 + 1, D: y = √9-9 / 4x2, y = 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.