IDZ 10.2 - Option 21. Decisions Ryabushko AP

1. Find the equation of the tangent plane and the normal to the given surface S at the point M0 (x0, y0, z0)
1.21 S: x2 + y2 - xz + yz - 3x = 11, M0 (1, 4, -1)

2. Find the second partial derivatives of the functions. Ensure that z "xy = z" yx
2.21 z = e√x + y

3. To verify whether the above equation the function u.
4. Examine the following function extremum.
4.21 z = x3 + 8y3 - 6xy +1

5. Find the maximum and minimum values of the function z = z (x, y) in D, given the limited lines.
5.21 z = x2y (4 - x - y), D: x = 0, y = 0, y = 6 - x