Homework 7, due March 18, 2009.

[goodwine]

I wrote these problems on the board in class. If you did not get them, you will have to ask someone that attended class on Monday, March 16.

If there is a parameter in the problem, please give the range of values of K for which all the roots of the polynomial have negative real part.

[mbrzoboh]

should we be finding the positive real part? it obviously isn't a huge mathematical process to do the negative ones, i was just wondering so as to not lose points.

[Anon]

Prof,

For c1 on problem 2 I get 0. The issue with this is when I go and compute the value for d1 will be undefined. I think I might have copied this wrong incorrectly, or may have missed a note made during lecture. The polynomial equation I have is,

s^5 + s^4 + 2*s^2 + s + 5

[mbrzoboh]

never mind, i mistook what you meant, sorry.

[goodwine]

Prof,

For c1 on problem 2 I get 0. The issue with this is when I go and compute the value for d1 will be undefined. I think I might have copied this wrong incorrectly, or may have missed a note made during lecture. The polynomial equation I have is,

s^5 + s^4 + 2*s^2 + s + 5

There is a discussion in the book on how to deal with that. Basically you replace the 0 with an epsilon.