Higher Mathematics, MAMI

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Uploaded: 03.09.2013
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Tasks 1-6
Find indefinite integrals. Make checks in three of the six tasks.
1); 2); 3);
4); 5); 6)
Target 7.
On the coordinate plane XOY build the region bounded by the given lines and find its area.
Target 8.
On the coordinate plane XOY build the area bounded by the specified lines and find the volume of a body formed by the rotation of the area around the axis OY.

Cash-graphic work №5
m = 7, n = 2
Task 1.
Describe and show hatching in the coordinate plane domain of the function
Task 2.
Make sure the function.
Task 3.
Write the equation of the tangent plane and normal to the elliptic paraboloid in a point belonging to the surface coordinates.
Task 4.
On the coordinate plane XOY build the region bounded by lines
a) With the help of a double integral calculate floor area;
b) Calculate the double integral
Task 5.
Write and test formula Ostrogradskii-Green to the contour of the triangle with vertices A (8, 2), B (9, 3), C (8, 4).

Cash-graphic work №6
p = 7, q = 2
1. Investigate the convergence of numerical series.
1); 2); 3);
4); 5); 6)
2. Find the interval of convergence of a power series and investigate its convergence on the boundary of the interval of convergence.
3. Arrange the power series in powers of x (Maclaurin) function and find the interval of convergence of the series obtained.

Additional information

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


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