# Высшая математика, ГУУ

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Write the equation of the tangent plane to the surface at a point.
3); A (2, 2, 2);
7); A (-1, 1, 3).
The company produces two types of goods in the quantities x and y. The total cost of a given function G (x, y). The prices of these products on the market are equal to P1 and P2. Determine if any issue with maximum profits, to find those profits.
3);
7);
The company produces two types of goods in the quantities x and y. The function of the full costs defined by the relation C = (x, y). The prices of these products on the market are equal to P1 (x) and P2 (y). Determine if any issue volume reached the maximum profit on the set of production possibilities, limited production costs in the amount of C = C0. Find the profit.
3);
7);
Find the following indefinite integrals:
3) a); b);
7) a); b).
Find indefinite integrals (using the formula of integration by parts)
3)
7)
Calculate definite integrals
3)
7)
Calculate improper integrals and prove their divergence
3)
7)
Explore a number of convergence, using d'Alembert's test.
3)
7)
Find particular solution satisfying the given initial condition.
3);
7);

Find particular solution satisfying the given initial conditions.
3); .
7); .