EGR 103/Fall 2017/Minilab 7

Typos

Prior to 6:45am on 12/5/2017, these problems used numbers from a previous edition of the book. This particularly changed the answers to 7.8.3 and 7.8.4. Those have been updated.

7.8.1

Be sure to store your data using code similar to a = np.array([1, 2, 3, 4]) and not just a = [1, 2, 3, 4].

Also, to return the result of a long formula, be sure to put the whole thing in parentheses to break it across lines; for instance:

return (1 + 2 + 3 + 
     4 + 5 + 6 + 7)

For the legend, add labels to each plot command and then call the legend command; for example:

plt.plot(t, x, 'k-', label='time')
plt.plot(t, v, 'r--', label='velocity')
plt.legend()

St: 5.793e+00
Sr: 7.850e-02
r2: 9.864e-01

The model should be a green dashed line going through the data points.

7.8.2

Root 1: 2.338e+00
Root 2: 7.762e+00
Min of y=-2.086e+01 at x=+1.279e+00
Min of y=-3.274e+01 at x=+8.708e+00
Min of y=-2.086e+01 at x=+1.279e+00
Max of y=+1.953e+02 at x=+5.702e+00

The graph should be like your graph for Lab 5

7.8.3

(1)
[[ 5  8 15]
 [ 8  4 10]
 [ 6  0 10]]
(3)
[[ 3 -2 -1]
 [-6  0  4]
 [-2  0 -2]]
(4)
[[28 21 49]
 [ 7 14 49]
 [14  0 28]]
(5)
[[3 6 1]]
(6)
[[25 13 74]
 [36 25 75]
 [28 12 52]]
(7)
[[54 76]
 [41 53]
 [28 38]]
(8)
[[ 9  2]
 [ 4 -1]
 [ 3  7]
 [-6  5]]
(11)
[[ 66  19  53]
 [ 19  29  46]
 [ 53  46 109]]
(12)
[[46]]

7.8.4

8.3:
[[-15.18115942]
 [ -7.24637681]
 [ -0.14492754]]
8.5:
[[-0.53333333+1.4j       ]
 [ 1.60000000-0.53333333j]]

7.8.5

St: 2.327e+04
Sr: 1.116e+03
r2: 9.520e-01

Coefficients and graph should match your for this lab. Be sure you are using good initial guesses - bad initial guesses will result in a flat red line!