ENGR 17
Practice Test 3
Name___________________
Make a folder PracticeTest3 and put all your scripts, function files AND PLOTS in it
1) If you roll a balanced PAIR of dice 300 times, how many times would you expect to
obtain-A) a sum of 8?
B) A sum of either 3,4 or 5?
C) A sum of less than 9?
HINT: The Matlab command to generate 300 throws of a six sided dice is
ceil(rand(1,300)*6)
Make a histogram of 300 throws of two dice. You may either count the hits manually on
the histogram chart, or, for full credit, use the matlab vector/relational (and other)
commands such as z(z<10) to obtain the answer directly from the command line.
2) Make a function file to compute the function foo(x) = x^2 / (sin(x) + 2)
(note that foo(0) = 0, foo() = 2/2 and foo( /2) = 2/12)
3) Use quad to find the area under function foo for x ranging from 0 to 10, in other words,
∫
( )
4) Use a for loop and repeated calls to quad to generate AND PLOT a vector y formed by
integrating foo from 0 to x, in other words,
( )
∫
( )
Start with an x vector of [0:0.1:10] and plot y vs x
5) Find AND PLOT the numeric solution to
y' = t2 – y,
given y(0) = 0
over 0<t<5