**Problem Set #2**

All three exercises are from Module 2.3 on p. 40.

**Exercise 3**(I apologize for the use of Imperial units.)**Exercise 4**In the past I’ve skipped this problem because of the amount of math involved, but considering how many of you are interested in medicine, I wanted us to take a stab at it this time. As usual, when you see “solve using calculus”, you have two choices:- Do like I do, and google it. I found a several solutions by googling GOMPERTZ EQUATION, which requires you to translate the between textbook’s variables (
*N*,*M*,*k*) and the ones in the solution (*y*,*K*,*r*), something you often have to do it situations like this. Even then, it’s nontrivial, so here is one weird trick you can use. - Be a calculus hero and solve it with your skillz, for teh extra creditz.

- Do like I do, and google it. I found a several solutions by googling GOMPERTZ EQUATION, which requires you to translate the between textbook’s variables (
**Exercise 5**I would use Excel to produce the graph (part**a**): Enter the numbers 0 through 10 in Column A, then in cell B1 type the formula**= EXP(-A1)**, and copy-and-paste into the remaining cells in column B. Then do**Insert/Scatter**and choose the smooth-line plot. Then copy-and-paste the plot into your writeup. For**5b-f**, Excel and Vensim can also help you to match the formulas (A-F) with the English descriptions (b-f),but all you need to turn in for these is the final answer (what goes with what).