27.6. Examination

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27.6. Examination

1. Find the domain of the function of two variables. Make a schematic drawing.
2. Dana function. Show that it satisfies this equation:
3. Dana function and two point A (x0, y0) and B (x1, y1). Required:
1). Z1 Evaluate function at point B;
2). Calculate the approximate value of the function at the point B, starting from the value z0 function at point A by replacing the increment function in the transition from point A to point B, the differential; estimate in% relative error that occurs when replacing the function of the increment of its differential;
3). Write the equation of the tangent plane to the surface at the point (x0; y0; z0)
4. Find the maximum and minimum values \u200b\u200bof the function in the closed area:
5. Given a function point A and a vector. Search:
1) .grad z at point A; 2). the derivative at the point A in the direction of the vector.


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