Category: 12 HL Homework

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.

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

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

Complete the following questions (from Chapter 16 of the Pearson book) before next class.

Page 845 questions 1, 2, 6, 7, 13, 15, 17, 25, 28

Despite the title, I’m also going to suggest some loosely related reading for you to complete over the weekend, along with a few questions focused on the Fundamental Theorem of Calculus.

I suggest you read (in the Haese Calculus book) sections A and B, paying particular attention to rules for working with absolute value expressions, and the squeeze theorem for functions (we’ll see this theorem again, recast in terms of sequences, later in the course).

It’s also worthwhile to have a look at Section G in the Haese book, which should be a review of what we’ve discussed about the Riemann definition of the definite integral.

Finally, complete the following questions for our next class (again, from the Haese book).

Exercise H, questions 1, 2, 4, 8, 10

Complete the following questions before our next class.

(from the Pearson book) page 1436 questions 7, 10–13, 15

Complete the following questions (from the Pearson textbook).

Complete p. 1353 questions 18–20, 23, 25, 26, 27

Here’s the question we were looking at in class, complete this question (and the other questions that I’ll include in an email to you) before our next class.

An manufacturing process produces aircraft parts such that the length of each part, X, (in cm) is such that \(X\sim N(\mu,\sigma^2)\).

We know that \(P(X\leq 120)=0.4596\) and \(P(X\leq 132)=0.6491\).

Find \(\mu\) and \(\sigma\).

If a part is rejected if it is more than 1 cm away from the mean, what percentage of parts are rejected?