GEEN 1300 Introduction to Engineering Computing Summer 2005
Section Test #4 – Practice Test
1. Solve the following set of nonlinear equations using Matlab.
() ()
(
)
() () ()
() () ()
123
123
12 3
s
in x cos x ln x 0
cos x 2 ln x sin x 3
3lnx sinx cos x 2
+
−=
+⋅ + =
⋅− + =
using initial guesses
1
2
3
x
1.0
x
3.0
x
1.0
=
=
=
Write a Matlab script file called SolveNonlinSet.m that does this. Write in your
solution here too:
1
x
=____________
2
x
=____________
3
x
=____________
2. Develop a Matlab script file, called PlotYZW.m, that creates a single plot of the
following 3 functions over the range 0x5
≤
≤. Format the plot with different line
styles so the 3 curves can be distinguished on a black-and-white print-out of the
plot. Do not use markers. Add a grid, a title with your name in it, and axes labels x
and Y,Z and W. Add a legend to the plot also which shows the equations in
Matlab syntax (see help legend).
(
)
()
x
ycosx
1
zcosh x
w1e
−
=
=
=−
3. Write a Matlab function, called Ellipsoid, that has three arguments, a, b , and c,
the three semi-axes of an ellipsoid, and computes the volume of the ellipsoid. Test
the function with the following values:
a 6000= b 5500= c 6500
=
The formula for the volume of an ellipsoid is 4abc
3
π
⋅
⋅⋅
What is the result? __________________
