Appendix A — Homework 0

• From Calculus: Early Transcendentals Stewart et al. (2020):
  • Section 3.5, #1, 10, 11, 33, 36; also #46 by SageMath¹
  • Section 3.6, #1–2, 4–5, 15, 63, 66, 81

Unless indicated otherwise, you should solve problems by hand and (optionally) use Sage to check your work. As we will see throughout this course, having tools to check and visualize the underlying mathematics is hugely valuable!

Also include approximately how long the assignment took for you to complete.

Stewart, J., D. K. Clegg, and S. Watson. 2020. Calculus: Early Transcendentals. 9th ed. Cengage Learning.

---

1. To receive full credit, you should use SageMath to solve this problem—don’t do algebra by hand! Use functions like diff, solve, and implicit_plot. For a bonus point, include a Sage-generated plot of the curve with all the points with horizontal tangents marked.