a)
1
= +
ln( 1 ) =
+
+
= +
(ln( 1 )1 =
(ln( 1 )1
The value for is (ln( 1 )1 and the value for is 1/x.
b)
ln() = +
ln()
= +
The value for is
ln()
and the value for is .
c)
= 2()1/2
= 2 +
= 2 +
= ()2
The value for is and the value for is2.

Task 2 Questions:
In my code, I used Simpsons 1/3 rule for first and last sets of 3 points of data, and I used the trapezoid
method for the middle 4 points. I elected to not use any of MATLABs built in functions as I only know of
the quad, trapz, and inte

Task 1:
In this problem, there are 3 intervals, one polynomial for each interval, and each polynomial
possesses four unknown coefficients since they are cubic. This meant that I would need a matrix
composed of twelve equations to determine all of the coef

Part (a):
I developed a set of first order ODEs from the given second order ODE by establishing a 2x1 matrix
called dxdt, and then setting dxdt(1) = x(2) and dxdt(2) = (2.5*sin(wt) 5|x(2)|*x(2) 6*x(1)/2 . The
x(2) term corresponds to dx/dt, and the x(1) t

As I entered this class at the beginning of the semester, my two primary goals were to become
more competent with MATLAB, and to achieve an A in the class. Of course I now have
increased skill with MATLAB and programming in general, compared to how I was