A: Structure Matlab Programming

1. Create a program using a while loop and conditional expressions to determines the sum of all numbers between 1 and 100 excluding 37 and the numbers between 43 and 68. Always provide both program and output.
2. Create a program that outputs the first twelve numbers of the Fibonacci Sequence (i.e., 0, 1, 1, 2, 3, 5, 8, 13, ...). The next number of the sequence is found by adding up the two prior numbers.

B: Array for Functions of Time

1. Explain what application the statement below might have. Is t an array? What is the function of the single apostrophe?

t = 0.001*[1:1000];

2. Define an array v1 = 2*cos(2*pi*t + pi/2), where array contains a sample every 1 millisecond over a time interval from 0 to 1 sec.
3. Define a second array v2 = 3*cos(2*pi*t + pi/4) and third array v3 = v1 + v2. Plot v1, v2 and v Use xlabel, ylabel, legend and title when creating your plot. What can you say about the frequency of the three traces? What do the terms pi/2 and pi/4 do?