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IDZ 10.2 - Option 2. Decisions Ryabushko AP

IDZ 10.2 - Option 2. 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)

1.2 S: x2 + z2 - 4y2 = -2xy, M0 (-2, 1, 2)

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

2.2 z = ctg (x + y)

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

4.2 z = x3 + 8y3 - 6xy + 5

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

5.2 z = xy - x - 2y, D: x = 3, y = x, 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.