Final Exam Solutions Spring '98 403L Final Exam Solutions 1. A population of bacteria is growing exponentially. At noon today there were 1,000. At 2 PM there were 1,500 bacteria.
Exponential growth implies for some constant k .
Tomorrow at noon there will be bacteria. Consider the function . Of the above, classify which critical points are local maxima, which are local minima, and which are saddle points. Consider the function . Your answer should be correct to at least 5 decimal places.