IDZ 10.2 - Option 17. Decisions Ryabushko AP

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Uploaded: 10.03.2014
Content: 17v-idz10.2.doc (216,5 kB)

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1. Find the equation of the tangent plane and the normal to the given surface S at the point M0 (x0, y0, z0)
1.17 S: 2x2 - y2 + 2z2 + xy + xz = 3, M0 (1, 2, 1)

2. Find the second partial derivatives of the functions. Ensure that z "xy = z" yx
2.17 z = arccos (4x - y)

3. To verify whether the above equation the function u.
4. Examine the following function extremum.
4.17 z = 2xy - 5x2 - 3y2 + 2

5. Find the maximum and minimum values of the function z = z (x, y) in D, given the limited lines.
5.17 z = 2x2 + 2xy - 1 / 2y2 - 4x, D: y = 2x, y = 2, x = 0

Additional information

Detailed solution. Decorated in Microsoft Word 2003. (Target decided to use formula editor)

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