Reshebnik Arutyunov Yu N242 Setting Higher Mathematics

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Uploaded: 31.05.2017
Content: Arutunov_z242.doc (64,5 kB)

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Ready solution of the problem. The sorcerer of Arutyunov. Task number 242.

241 - 250. Given a function z = f (x, y) and two points A (x0, y0) and B (x1, y1). It is required: 1) to calculate the value z1 of the function at point B; 2) calculate the approximate value z1 of the function at the point B based on the value z0 of the function at point A, replacing the increment of the function with the transition from point A to point B by the differential, and estimate the percentage error arising when the increment of the function is replaced by its differential; 3) form the equation of the tangent plane to the surface z = f (x, y) at the point C (x0, y0, z0)

242. z = 3x2 - xy + x + y; A (1; 3), B (1.06, 2.92)

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

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