PRACTICE EXAM II - BME 201 - SPRING 2011
Note: Please bring a calculator to the exam. You may need it and I will not have
extras.
Question 1 (30 pts):
A rectangular box with a square base (b ft. x b ft.) and a height, h ft. has an open top and
is to be made from 60 ft2 of material.
(a) Write an anonymous function called SA, that will output the box surface area that has
a two input variables (b, for box base length and h, for box height). (10 pts)
(b) Define a second anonymous function called reciprocalV (10 pts) and then use
fminbnd (10pts) to solve for the dimensions bopt and hopt of the box that has the largest
possible volume? (Hint: 1/a large number = a small number)
Question 2 (30 pts):
a. Create a user-defined function called factorial.m to find the factorial, N! (e.g. 4! =
4*3*2*1 = 24). Your function should confirm that the user input is a positive scalar value.
Do not use the built-in Matlab function for factorial. Demonstrate the proper use of
function and programming syntax. (15 points)
b. Trace through your function step-by-step to verify that 4! =24. (10 points)
Question 3 (40 pts):
A student has written the following function intended to process an input velocity array, V
(mm/s) and return an output normalized force array, normForce (unitless) using the
piecewise Hill Equation (assume numbers and parentheses in the equations are
correct). The program does not produce the expected results when experimental velocity
data is passed in.
function normForce = myHillEquation(V, Vmax, k )
stepsize = 2;
i=1;
for V= −Vmax : stepsize : Vmax
if V <= 0
normForce (i) = (1+ V/Vmax) / (1−V/k/Vmax);
else
normForce (i) = 1.8 − .8*(1−V/Vmax) / (1+7.56*V/k/Vmax);
end
i=i+1;
end
a. What should the value of the normForce array be for the inputs V= [-50 0 25],
Vmax=50 and k=1? (10 points)
