# Mathematics, OmGUPS

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# Description

Given function: z = f (x; y); z = (x; y); z = g (x; y).
Find: a); ; ; ; b); . Show what.
z = f (x; y) = 7 - y2 + x3y4 + ex (1 + y); z = (x; y) = y2 cos (xy); z = g (x; y) =.

Given the function z = f (x; y) and point A (; y), B (;). Calculated:
a) the exact value = f (x; y) and = f (x; y);
b) the total differential at the point A;
c) an approximate value of the function f (x; y) at point B, replacing the increment of the differential in the transition from point A to point B.
Find the absolute and relative errors.
z = f (x; y) = xy - 3x2 + 14; A (1, -2), B (0.9, -1.8).
Given a function z = f (x; y), point A (xA; yA) and the vector. Search:
a) the gradient of the function z = f (x; y) at point A;
b) the derivative of the function z = f (x, y) in the direction of the vector.

We received five experimental values \u200b\u200bof the function y = f (x). Least squares method to find a linear approximation of the function y = f (x) as y = ax + b. Build the drawing.
xi January 2 3 4 5
yi 8 6.1 5.9 3 3.2
Find indefinite integrals using a table of integrals, integration of basic rules and regulations of the linear replacement.

Find indefinite integrals by replacing variable or integration by parts.

Find the indefinite integral of a rational fraction.

Find the area of \u200b\u200bthe figure bounded by the specified lines.

Find the work force, H, when moving material point along the x-axis on the interval, m.

Find the general solution of the differential equation.

Find the general solution of homogeneous differential equations.

Solve the Cauchy problem.

Find the general solution of the inhomogeneous linear second order differential equation.

The exact formulation of the tasks you can see in the attached image

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