Control №1 and 2 for higher mathematics, SZTU

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Uploaded: 27.08.2013
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Examination №1
Task 4
Solve the system of linear equations by Cramer's rule

Problem 44
Make a schematic drawing of the body, defined by a system of inequalities. Specify the type of surfaces bounding the body. Determine on what lines and in which these planes intersect the surface.

Target 15
Solve means of vector algebra.
Given vectors. Calculate the length of the vector and the area of \u200b\u200bthe triangle formed by the vectors and.

Task 21
Solve the methods of analytic geometry.
Write the equation of the plane passing through the points, and.

Problem 31
Find the coordinates of points of intersection. Specify the shape of the curves. Make a drawing.

Examination №2
Problem 54
Find the limits of functions using the equivalent infinitesimal quantities and identity transformations.
a); b)

Problem 65
a) Find the points of discontinuity of the functions, if they exist;
b) Find the one-sided limits at the points gap and establish the type of break points;
c) Make a schematic drawing of the graph of the function in the neighborhood of the gap.

Problem 95
Find and function given parametrically.

Problem 71
Find the first derivative of the function

Problem 81
Find the coordinates of the point of intersection with the x-axis tangent to the graph of the function at a given point. Make a drawing.

Additional information

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


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