For tomorrow’s lesson, try to complete page 173 questions 5, 6, 23, 27, and 28.
Continuous Probability Distributions
Complete the following questions for our lesson tomorrow.
Pages 898–901 questions 1, 2, 7, 11, 19, 20
Series Break Homework
Complete the following questions during the break. Remember, if you get stuck you can leave a comment below. If you see a question in the comments and you have a suggestion to make, post that too!
Pages 172–173 questions 1, 2, 3, 11, 12, and 20
Additionally, see if you can complete all of the question below.
Consider the series shown here.
\[\frac{1}{3}+\frac{1}{6}+\frac{1}{12}+\cdots\]
- Find the formula for \(S_n\)
- Write down the value of
- \(S_3\)
- \(S_{10}\)
- \(S_{100}\)
- What do you notice happening to the value of \(S_n\) as \(n\) increases? Can you use the formula for \(S_n\) to explain why this is happening?
The Binomial Distribution
Complete the following questions for the start of our lesson tomorrow.
Pages 879–881 questions 5a–d, 6a–c, 8, 9bc, 13, 14, 15
Roots of Complex Numbers
Below is a GeoGebra applet that will allow to you find the \(n^{\textrm{th}}\) roots of a complex number \(G\), for a value of \(n\) from 1 to 5. (Note that it does take some time to load.)
Probability and Complex Numbers Test
Our next test (on Wednesday, November 30th) will be a mix of questions on the topics of probability and complex numbers.
In preparing for the test, the following questions will be useful.
Pages 562–570 questions 1, 3, 14, 18, 24, 34, 42, 43
Pages 459-460 questions 1, 3, 4, 10, 11, 14, 15, 17, 24
Polynomials Test
We’ve now covered all the material that will appear on our next test, to be held on Monday, November 28th.
The following questions from our textbook will help you prepare for the test.
Page 150 questions 11–21, 28
Inequalities
Here’s a question to consider tonight. This question can be answer in much the same way as the inequalities we considered in class today (there is one minor difference—see if you can figure this out!).
Solve the inequality \(\displaystyle{\frac{x+1}{x-4}\leq \frac{1}{x-2}}\).
Exploration Information
Attached are the slides used in part of today’s lesson, which contain a few notes on the exploration (most of which come directly from IB documentation).
You can find the slides here.
Factors, Roots, and the Fundamental Theorem of Algebra
We’ve now covered a number of important theorems concerning polynomials. For our next lesson complete the questions below.
Complete pages 124–125, questions 6, 11, 18, 22, 24, 26, 27, 32, 33, 34
In addition to these questions, if you’re ready for a challenge, try to answer any of the questions shown in the Polynomials Super Challenge. These are not assigned as homework, but if you can correctly complete question 1 you’ll get 1 bonus mark on our next test, and if you can correctly complete question 2 you’ll get 2 bonus marks on our next test. You have until the date of our next test to complete any of these challenge questions. Good luck!