In exercises 3–6, solve the initial value problem x0 .t / d ax.t / for t 0, with x.0/ d .3; 2/. classify the nature of the origin as an attractor,0repeller, or saddle point of the dynamical system described by x d ax. find the directions of greatest attraction and/or repulsion. when the origin is a saddle point, sketch typical trajectories.
a=[7 -1] (a is a matrix with r1 = 7, -1 and r2 = 3,3)
[3 3]

The confidence level would be 99.5%.

When we know the confidence level, we find the z-score by:
Dividing the CL by 100;
Subtracting this result from 1;
Dividing this result by 1;
Subtracting this result by 1.

Algebraically, this looks like:


Using a z-table (http://www.z-table.com), we see that a z-score of 2.81 results in an area under the curve of 0.9975, so we now have


To begin solving this, we will subtract 1 from both sides:


We will now multiply both sides by 2:


Subtract 1 from both sides:


Multiply both sides by 100:
CL = 99.5