Author: Dr. McDonald

Now that we’ve learned about the graphs of trigonometric functions, we can apply our understanding of transformations of functions to transform trigonometric functions (particularly sine and cosine) to model period behaviour, like the tides, temperature, etc.

Try to complete the following questions before our next lesson (I suggest leaving the horizontal stretch until the end).

The London Eye is 15 m off the ground, and has a diameter of 120 m. The London Eye completes one revolution every 30 minutes.

1. Develop a function to model the height of a passenger on the London Eye t minutes after boarding a capsule.

2. How far above ground would passengers in a capsule be after
   a. 10 minutes have passed?
   b. 25 minutes have passed?

We’ll be finishing the course material over our next two classes, but we’ll also spend some time working thought normal distribution problems in our (long) class tomorrow.

So, while you’ll have some time to work on the questions below in class tomorrow, the more of these you can complete in advance, the more time you’ll have to focus on other questions involving the new material we cover tomorrow.

Exercise 24A questions 4, 6, 8
Exercise 24B questions 1, 2, 3, 4, 7

Complete the following questions before our next class.

Exercise 23D.2 questions 3, 7, 8

Also, read over the material in 23C (on Expectation), and then try the questions below.

Exercise 23C questions 1, 6, 8, 9, 10

Complete the following questions before tomorrow’s class.

Exercise 9B questions 1a, 2, 5, 9
Exercise 9D questions 1, 5, 6, 9, 13, 16

Complete the following questions before our next class.

Exercise 23A questions 3ac and 4a
Exercise 23D.2 questions 1, 2a, 4a

(We’ll continue with this material in our next class, and in particular we’ll look at the easy way to answer binomial distribution questions using our calculators.)

After solving the Ambiguous Case, you’re now ready to complete the following questions before our next class.

Exercise 9C.2 questions 1, 2c, 3, 5, 8 (8 is somewhat challenging)

Complete the following questions before our next class.

Exercise 22I questions 1, 2, 3, 5, 9, 12
Exercise 22J questions 1, 4

Complete the following questions before our next class.

Exercise 9A questions 1b, 2, 3, 4, 10a, 11 (11 is challenging)
Exercise 9C.1 question 1

Complete the following questions before our next class.

Exercise 22E.1 questions 1, 2, 3, 5
Exercise 22E.2 questions 1, 2, 3
Exercise 22F questions 1, 3, 4, 6
Exercise 22G questions 1, 2, 4, 10

Complete the following questions before our next class.

Exercise 8D.1 questions 1, 3, 4, 5ac
Exercise 10B.1 question 1