Complete the following questions before our next class.
Exercise 7D.1 questions 1, 3, 6, 7, 10, 12, 18
Exercise 7D.2 questions 3, 5
Exercise 7E 1, 2, 6, 7, 8, 9, 11, 14, 20, 24
11 HL: Counting Principles & Permutations
Complete the following questions before our next class.
Exercise 7A questions 2, 3, 4
Exercise 7B questions 1cd, 2
Exercise 7C questions 2adeh, 3be, 5abe, 6bfe
12 SL 4: Returning to Derivatives
Complete the following questions before our next class.
Exercise 11D question 3b (use the limit definition)
Exercise 11E questions 2 and 3
Exercise 11F questions 2ab, 3ab, 8
11 HL: Partial Fractions
Complete the following questions before our next class.
Exercise 6E questions 2bcghi, 3, 4, 5
11 SL: Optimization and Quadratic Inequalities
Complete the following questions before our next class.
2G questions 1bd, 3, 4, 8, 9 (8 and 9 are optional challenge questions)
2H.1 questions 2adg 5ad
2H.2 questions 3adgj, 4a, 5ab, 6a
Also, remember to focus on the Quadratics Review document questions that you’ll receive by email, as completing those questions are your best way to prepare for our Quadratics Test on Thursday!
11 HL: Oblique Asymptotes
Complete the following questions before our next class.
Exercise 6D.2 questions 1, 2ad, 4
11 HL: Rational Functions
Complete the following questions before our next class. (Most of this should be review from last year, but if you find any unfamiliar material we can look through that in our next class.)
Exercise 6D.1 questions 2adgj, 4
11 SL: Intersections with Quadratics + Word Problems
Complete the following questions before our next class.
2E questions 1ad, 2d, 5, 6, 9
2F questions 1, 3, 5, 10
11 HL: Absolute Values in Equalities
Complete the following questions before our next class.
Exercise 6C.3 1be, 2ade, 3bc, 4afg
If you’re interested in looking in more detail at the \(\leq\) relation, here’s a fun puzzle to consider.
The real numbers are totally ordered by the \(\leq\) relation, that is, \[\text{(1) for any } a,b \in \mathbb{R},\text{ we have } a \leq b \text{ or } b \leq a.\] We also have the following properties, which are true for any \(a,b,c \in \mathbb{R}\)
\[\text{(2) if } 0 \leq a \text{ and } b\leq c, \text{ then } ab\leq ac, \text{ and}\]
\[\text{(3) if } b\leq c, \text{ then } b+ a\leq c+a.\]
What happens if we try to extend the \(\leq\) relation to the complex numbers? If we can, we would want to do so without “breaking” properties 1–3. Can we extend our ordering relation to the complex numbers without running into trouble in this way?
11 SL: Graphs of Quadratic Functions
Complete the following questions before our next class.
Exercise 2B.2 questions 1ad, 2c
Exercise 2B.3 questions 1ae, 2d (you don’t need to complete the square for these questions)
Exercise 2C question 3, 4c, 7
Exercise 2D question 1a, 2b, 3bce, 5