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IDZ 10.2 - Option 19. Decisions Ryabushko AP

IDZ 10.2 - Option 19. 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)

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

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

2.19 z = arctg (2x - y)

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

4.19 z = xy - x2 - y2 + 9

  • Find the maximum and minimum values \u200b\u200bof the function z = z (x, y) in D, given the limited lines.

5.19 z = xy - 3x - 2y, D: x = 0, x = 4, y = 0, y = 4

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.