#34 "quiz" link after Mon. class
Read 11.6 especially Example 2.
Instructions for the following problems are changed to Moodle instructions below. When using online slope field on this homework, you may simply answer the question (say from online graph or table) and/or hand-copy the solution curve if you clearly label the axes ranges.
11.6; 3 Replace the "and 400 are infected 10 days later" with "and at the beginning of the epidemic (when y=100) the infection rate (y') is 14 people per day." For (a) write a differential equation with initial condition (not the solution as in the back). Then find equilibrium values and make a qualitative sketch of the solution curve for this initial condition. (b) Use online slope field to estimate the answer to b.
11.6; 10, 11, 12, 13. The first sentence should be prefaced with the word "Initially," since the physical tank might hold at least twice as much over time. On each of these problems, replace all instructions with: (a) Write a differential equation with initial condition for y(t), the lbs of salt in the tank at minute t. (b) If the DE is autonomous (10 & 13), find equilibrium values and make a qualitative sketch of the solution curve for this initial condition. If not autonomous (11 & 12), use online slope field to make an accurate sketch over 100 minutes. (c) Does the trend make physical sense?
11.6; 14, 16. As intended in the text; write and solve the separable DEs.
The "Quiz" is a way to record your grade out of 10 from in-class corrections.
Grading method: Last attempt