Высшая математика, ГУУ

Task 22.
Write the equation of the tangent plane to the surface at a point.
3); A (2, 2, 2);
7); A (-1, 1, 3).
Task 25.
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);
Task 26.
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);
Task 27.
Find the following indefinite integrals:
3) a); b);
7) a); b).
Task 29.
Find indefinite integrals (using the formula of integration by parts)
3)
7)
Task 30.
Calculate definite integrals
3)
7)
Task 32.
Calculate improper integrals and prove their divergence
3)
7)
Task 34.
Explore a number of convergence, using d'Alembert's test.
3)
7)
Task 36.
Find particular solution satisfying the given initial condition.
3);
7);

Task 39.
Find particular solution satisfying the given initial conditions.
3); .
7); .