LINEAR ALGEBRA AND MATHEMATICAL ANALYSIS (MABK 96)

The second and the third can together do the work t times faster than the first; the first and the third can do it together three times faster than the second. How many times can the first and second get the job done faster than the third?

1) Make up a system of linear equations to solve the problem.
2) Investigate the system for consistency using the Kronecker-Capelli theorem.
3) Find a general solution to the system.
4) What answer to the problem question can be given based on the previous reasoning?
Let's compose a system of linear equations
Task 2. Given a function


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) Conduct a complete function study using the general study design.
4) Build her graph.

Task 3.

Calculate the integrals, theoretically justifying the solution methods:

1)