Read sections H, I, and J in Chapter 22, then complete the following questions before our next class.
Exercise 22G questions 1, 3, 5, 6, 10
Exercise 22H.1 questions 6, 7, 8
Exercise 22I questions 1–5, 7
Exercise 22J questions 1–3
12 HL Sequences and Convergence
Complete the following questions before our next class.
(From the Haese book)
Exercise B.1 questions 3 and 5
(Read Section J, then complete )
Exercise J.1 questions 1bdf, 2acdf, 3
Exercise J.2 questions 1, 2, 3
Pay particular attention to questions 1 and 2 in J.2, which makes use of two (often useful) algebraic methods for showing that a sequence is monotonically increasing/decreasing: a sequence is decreasing if either \(u_{n+1}-u_n <0\), or \(\frac{u_{n+1}}{u_n} <1\) for all \(n\), and with inequalities reversed either method establishes that the sequence is increasing.
12 HL Slope Fields and Euler’s Method
Complete the following questions before our next class.
(from the Haese book)
Exercise M questions 1, 5, 7, 8
(from the Pearson book)
pages 1467–1469 questions 14, 29, 30, 33
11 SL: Trigonometry Part 3: Finding Angles
Complete the following questions before our next class (Period 2 on the first day back after the break!).
Exercise 8D.1 questions 4–5
Exercise 8E questions 3–5 (do question 5 without using a calculator—find the reference angles)
12 SL Introduction to Probability
Complete the following questions before our next class.
Exercise 22B questions 1, 2c, 3
Exercise 22C.1 questions 1, 2, 3, 6
Exercise 22F questions 1–3
12 HL First-order Linear Differential Equations and Slope Fields
Complete the following questions before our next class.
(From the Haese book)
Exercise O (both questions 1 and 2)
Exercise M questions 3 and 6a
(From the Pearson book)
page 1467–1469 questions 5 and 17
11 SL Trigonometry Part 2: Identities and The Unit Circle
Complete the following questions before our next class.
Exercise 8C questions 2, 3, and 4
Exercise 8D.1 questions 1, 2, 3
Exercise 8E questions 1 and 2
12 HL Homogeneous Differential Equations
Complete the question we had started in class, and then complete the textbook questions listed below (all questions are from the Calculus Option chapter in the Pearson book).
\[\text{Solve }\frac{dy}{dx}=\frac{x^2+3y^2}{xy}\text{, for }x,y>0.\]
Complete p. 1470 questions 24, 25 and 27.
11 SL Trigonometry Part 1: Radians and The Unit Circle
Complete the following questions before our next class.
Exercise 8A questions 1–3
Exercise 8B questions 1, 2, 5, 8, 12
Exercise 8C question 1
9 Extended: Systems of Equations and Coordinate Geometry Test
On Friday, March 15th, we’ll have a test on Systems of Equations and Coordinate Geometry (we’ve seen coordinate geometry before on the term test, so most of the questions on this test will focus on systems of equations).
In order to prepare for the test, I suggest you finish the questions we were working on in class today (Section 16E, questions 1–3, 7, and 9), then complete the questions listed below. We’ll discuss the answers in class on Monday.
Review Set 16A (all questions)
Review Set 9B questions 1–10 and Review Set 9A question 11b