Domain and Continuity In Exercises 1-4,(a) find the domain of ,and (b) determine the values (if any) of for which the function is continuous.

\(\mathbf{r}(t)=\ln t \mathbf{i}+t \mathbf{j}+t \mathbf{k}\)

Text Transcription:

r(t)=ln t i + t j + t k

Step 1 of 5) In the next example we model the number of people within a given population who are infected by a disease which is being eradicated from the population. Here the constant of proportionality k is negative, and the model describes an exponentially decaying number of infected individuals.