Instructions:

Problems to be solved in the notebook.

Prior to submission, delete all output, save your file and submit the file by email to hariradi@fel.cvut.cz

Name your file as... test1Name_Surname.nb

For questions involving circuits, work would be done on both paper and mathematica

QUESTION 1:
For the given voltage divider circuit create graph for the absolute transfer function values ​​in logarithmic coordinates, with GridLines, axes description with correct units, and plot graph in black colour with thick lines.
(3 Points). 

QUESTION 2 :
For ω = 314 (s^(-1)) print list using the real and imaginary part of impedance (in decimals) for the input terminals of the specified scheme. (1 Point)

QUESTION 3 :
Using FindRoot, evaluate Cos[a*x]==x, create function that returns specified value of x. (2 Points) 
Using Table create a list of pairs for the function {(a^2),(Sqrt[f[a]])} for a∈<0,2> with the increment of 0.1. (1 Point)
Using ListPlot print the results and description, body in red colour for different size. (1 Point)

QUESTION 4 :
Solve the equation 6(x^3)+2(x^2)+x+1=0. (1 Point)
Using the Chop command remove the "almost zero". (1 Point)
Compute the value of the equation: 3*(x1+x2+x3) and 6*x1*x2*x3 and display the result using Print (1 Point)

QUESTION 5 :
Using Rationalize command find a rational number (a substitute) that approximates square root of 2 with error being under 0.01.  (1 Point)
Display the result using Print command, in form: Substitute = *calculated value* (1 Point)
Calculate the error of the substitute (in percentage) and display it using Print command. (1 Point)

There's a given progression {3, 10, -5, 22, -21, 42, -45, 70}. Using FindSequenceFunction command, find the next element of the progression. (1 Point)