We’ll have our first test on the Calculus Option topics on Thursday, March 9th.
This test will cover material that includes differential equations, important theorems and definitions in Calculus (Rolle’s Theorem, the Mean Value Theorem, continuity and differentiability, etc.), and l’Hôpital’s Rule.
The following questions will be useful.
page 1471–1474 questions 1, 4, 10, 16, 19, 22–27
page 1436 questions 9, 17
page 1354 questions 4, 6, 14, 15
I’ve calculated a solution to question 16 (from page 1473) using a tool called SageMath, and it gives the following solution.
\[x = e^{\left(\arctan\left(\frac{2x + y}{x}\right)\right)}\]
This answers our questions from class. (Can you see how?)