Calculus (Option Topics) Test 1 [Updated]

We’ll have our first test on the Calculus Option topics on Sunday, March 6th.

This test will cover material that includes differential equations, important theorems and definitions in Calculus (Rolle’s Theorem, the Mean Value Theorem, continuity and differentiability, etc.), and l’Hôpital’s Rule.

Update: The following questions will be useful.

page 1471–1474 questions 1, 4, 10, 16, 19, 22–27

page 1436 questions 9, 17

page 1354 questions 4, 6, 14, 15

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.]

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