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IDZ 10.2 - Option 29. Decisions Ryabushko AP

IDZ 10.2 - Option 29. 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)

1.29 S: z = x2 + 2y2 + 4xy - 5y - 10, M0 (-7, 1, 8)

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

2.29 z = ln (3xy - 4)

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

4.29 z = x2 + 3 (y + 2) 2

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

5.29 z = x2 + 2xy + 4x - y2, D: x + y + 2 = 0, x = 0, 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.