Control №6 and 7 on higher mathematics, option 6

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Control №6 and 7 on higher mathematics, option 6

Option 6
Examination №6
6.1. Solve the equation.
6.2. Solve the equation.
6.3. Solve the equation.
6.4. Find the solution of the Cauchy problem.
Examination №7
7.1. Explore the convergence of numerical series.
a); b); c)
7.2. Find the radius of convergence and interval of convergence of power series.
a); b).
7.3. Calculate the definite integral to the nearest 0,001, expanding the integrand in a series and integrating term by term it.
7.4. Arrange the Fourier periodic function with the period defined in the interval. Construct the graphs of the function and the amount of the Fourier series.

Additional information

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


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