Create the graph of absolute value of transfer function in logaritmic coordinates for impednace divider according to the scheme, use GridLines, axes should be labeled with correct units, the graph should be blue and thick. (3points)

For ω = 3140 (s^(-1)) for input voltage phasor u1=50+40j V print out the output voltage phasor, use Print function. (1 point)

Create the function with inputs in the form of list of double values {{x1,y1},{x2,y2}...} returning the list in form {{y1,x1},{y2,x2}} (2 points)
Apply the funcition on the list  {{Pi,E},{(Sqrt[2]),(Sqrt[3])}} (1 point)

Using DSolve function solve the equation
x’’(t)+b*x’(t)+13x(t)=sin(t) with initial conditions x(0)=0,x’(0)=1 (2 points)
Display the graf of the solution for b=1 t∈{-1,10}, axes should be labeled, the line should be red and dashed, display the grid lines (1 point)
Using Manipulate function display the solution for b∈{-1,10}, set up accurate PlotRange (1 point)

Using Interpolate function with InterpolationOdrer=2 setting find the interpolation for input data form {x,y}: {{1,1},{2,2},{3,3},{4,5},{5,7}} for x=3.8 (2 points)


Display the graph for t∈{-1,10} using ParametricPlot function. Functions are defined as follows: x=t+sin(t), y=cos(2t), axes should be labeled, the line should be black and thick (2 points)