1. First let's experiment with changes in b. Keep k fixed at 1/3, and plot the graph of i(t) with several different values of b between 0.5 and 2.0. Describe how these changes affect the graph of i(t). Stay alert for automatic changes in the vertical scale. If you're not sure what is changing, vary your colors and overlay consecutive graphs. 2. Explain briefly why the changes you see are reasonable from your intuitive understanding of the epidemic model. 3. Now let's experiment with changes in k. Return b to 1/2, and experiment with different values of k between 0.1 and 0.6. Describe the changes you see in the graph of i(t). Again, be alert for automatic changes in the vertical scale. If you're not sure what is changing, vary your colors and overlay consecutive graphs. 4. Explain the changes you see in terms of your intuitive understanding of the model.