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IDZ 10.2 - Option 7. Decisions Ryabushko AP

IDZ 10.2 - Option 7. 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)

1.7 S: x2 + z2 - 5yz + 3y = 46, M0 (1, 2 - 3)

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

2.7 z = arcsin (x - y)

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

4.7 z = 3x3 + 3y3 - 9xy + 10

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

5.7 z = 2x3 - xy2 + y2, D: x = 0, x = 1, y = 0, y = 6

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.