Math 113 (Assignments)

To be turned in on Monday:

1. For what values of $k$ is $$ f(x) = \cases{x^2+2kx+k^2& \text{for $x<-1$}\\[3px] 4k-x& \text{for $x\ge -1$}\cr} $$ continuous at $x=-1$?

   Fully justify your answer (for instance, you might want to show that, for your value(s) of $k$, $f$ statisfies the definition of continuity at $x=-1$. Make sure you give reasons for all of your claims.)

2. Compute the derivatives of the following function: $f(x) = (x^2-3x)e^{-x^2}$

Math 113 (Fall 2016) web pages Created: 30 Sep 2016 Last modified: Sep 30, 2016 1:06:05 PM Comments to: dpvc@union.edu

Assignments