Instructions:

Problems to be solved in the notebook.

Prior to submission, delete all output (Cell->Delete all output), save your file (File->Save as) and submit the file by email to kyncl@fel.cvut.cz and musallub@fel.cvut.cz

Name your file as... test1Name_Surname.nb

Task 1 :
Using FindRoot, evaluate Sin[x]==0, create a function that returns value of x for the startpoint  a. (2 points) 
Using Plot plot the function. (Use PlotLabel, AxesLabel, PlotStyle Red and Thick. (2 points)

Task 2 :
Using DSolve solve the differential equation y''(t)-2y'(t)+15*y(t)=1. 
with initial conditions y(0)=5, y’(0)=1 and solution set to the variable sol. (2 points)
Using Plot plot the y(t) and y’(t) on t∈{3,9}, PlotLabel, AxesLabel, PlotStyle {Blue,Red} and Thick, Dashed and specify PlotRange (3 points)

Task 3 :
Using Rationalize command find a rational number (a substitute) that approximates square root of 2 with error under 0.01.  (1 point)
Display the result using Print command, in form: Substitute = *calculated value* (1 point)