LINEAR ALGEBRA AND MATHEMATICAL ANALYSIS "(MA + BK1
Replenishment date: 14.01.2014
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Description
Test assignments
in the disciplines "LINEAR ALGEBRA AND MATHEMATICAL ANALYSIS" (MA + BK1)
Task 1.
A system of equations is given
1) Examine the system for consistency using system qualifiers.
2) Investigate the system for consistency using the Kronecker-Capelli theorem.
3) Find the solution to the system using Cramer's formulas.
4) Find the solution of the system by the Gauss or Jordan-Gauss method, at choice.
5) Find the solution to the system using the inverse matrix.
Task 2.
A function is given.
1) Determine how the function is defined and its scope. Is this feature elementary? Is this feature continuous? If not, specify the break point and find the break type. Write down one interval at which the function breaks and one interval at which the function is continuous.
2) Indicate the point at which the function is infinitely large and the point at which the function is infinitely small.
3) Find the asymptotes of the given function.
4) Conduct a complete function study using the general study design.
5) Build her graph.
Task 3.
Calculate:
1) The definite integral using the direct integration method
2) Indefinite integral using substitution method
3) Indefinite integral using the method of expansion into simple fractions
4) Indefinite integral using the method of integration by parts
5) The area of the figure bounded by lines.
in the disciplines "LINEAR ALGEBRA AND MATHEMATICAL ANALYSIS" (MA + BK1)
Task 1.
A system of equations is given
1) Examine the system for consistency using system qualifiers.
2) Investigate the system for consistency using the Kronecker-Capelli theorem.
3) Find the solution to the system using Cramer's formulas.
4) Find the solution of the system by the Gauss or Jordan-Gauss method, at choice.
5) Find the solution to the system using the inverse matrix.
Task 2.
A function is given.
1) Determine how the function is defined and its scope. Is this feature elementary? Is this feature continuous? If not, specify the break point and find the break type. Write down one interval at which the function breaks and one interval at which the function is continuous.
2) Indicate the point at which the function is infinitely large and the point at which the function is infinitely small.
3) Find the asymptotes of the given function.
4) Conduct a complete function study using the general study design.
5) Build her graph.
Task 3.
Calculate:
1) The definite integral using the direct integration method
2) Indefinite integral using substitution method
3) Indefinite integral using the method of expansion into simple fractions
4) Indefinite integral using the method of integration by parts
5) The area of the figure bounded by lines.
Additional Information
Option 8