You should now have received an email with a list of questions. Complete questions 4, 7, and 14 for tomorrow’s class.
Update: note that there’s an error in question 14: \(y(2)\), rather than \(y(3)\), should appear in part c).
Logarithms Test
We’ll have a test on logarithms on Thursday, February 25th.
The following questions will be useful for revision, and we can discuss any difficulties with these in class on Wednesday.
Page 243–245 questions 2, 4, 7, 8, 14, 16–19, 21–25
Logarithms
Complete the following question for tomorrow’s lesson.
If you can earn 5% interest compounded quarterly, how long will it take for your investment to double in value? Find an exact expression for your answer, with time measured in years.
[Note that \(\ln 2\) is an exact expression, and may appear in a correct solution to this question.]Homogeneous Differential Equations
Complete page 1470 questions 25 and 27. You will find it helpful to simplify expressions as much as possible in your intermediate steps.
Logarithms Homework
Complete the following questions for our next lesson. These are all relatively short, so you should be able to complete all questions for our lesson on Monday.
Pages 232–233 questions 3, 5, 12, 15, 18, 20, 21, 26, 31, 33, 44, 47, 48, 54, 56, 57, 60, 61, 63, 67, 69, 71, 72–77, 79, 80, 84
Induction and the Binomial Theorem Test
We’ll have a test on mathematical induction and the Binomial Theorem on Monday, February 8th.
To prepare for the test, complete p. 203–205 questions 20, 22, 24, 28, 26, 45, 47
We will discuss these questions in Thursday’s lesson.
Induction Homework Assignment [Updated]
Here’s a short homework assignment on proof by indication, to be collected on Wednesday, February 3rd.
Show that \(6^n+4\) is divisible by \(10\) for all \(n \in \mathbb{Z}^+\).
Update: You can download the template from class here.
The Mean Value Theorem
While I’m sure you’ve all written down these questions, you should complete p.1436 questions 7, 10–13, 15 for tomorrow’s lesson.
Binomial Theorem
While I expect you would have copied this question down in class, here’s the question we were looking at on Thursday.
Find the coefficient of \(x^2\) in the expansion of
- \((2-x)(5x+3)^7\)
- \((2-x)^3(5x+3)^7\)
Answers can be checked using the CAS functionality of GeoGebra.
The Binomial Theorem
Complete page 188–190 questions 3adf, 11, 12, 17, 18, 19 for tomorrow’s lesson. (Note that “term independent of x” is another way of referring to the constant term.)