Complete the following questions.
Exercise 19C.1 question 2
Exercise 19C.2 questions 1, 2, 4, 8, 9
12 SL Volumes of Revolution
Complete the following questions before our next class.
Exercise 19D.1 questions 1gh, 3, 5, 9
Exercise 19D.2 questions 2 and 4
12 SL Integrals and Areas
Complete the following questions before our next lesson.
Exercise 19A questions 3 and 4b
Exercise 19B questions 1ab, 2, 4, 10, 16
12 SL Integration by Substitution
Complete the following before our next lesson.
Exercise 18G questions 1, 2cd, 3ac, 4bd, 5b
12 SL Indefinite Integrals
Complete the following questions before our next class.
Exercise 18D questions 2, 3, 11, 12
Exercise 18E.1 questions 1cdg, 2cd, 3de, 5ab
Exercise 18E.2 questions 1bc, 2b, 3ac
12 SL Optimization
Complete the following questions before our next lesson.
Exercise 17C questions 1, 2, 6, 8, 11, 14, 19
12 SL Kinematics and Applications of Derivatives
Complete the questions below before our next class.
Exercise 17A.1 question 2
Exercise 17A.2 questions 1, 2, 4, 6
Exercise 17B questions 1, 2, 5, 8, 9, 10, 13
12 SL Applications of Derivatives Test [updated]
On Monday, December 11th we’ll have a test on applications of derivatives (Chapters 16 and 17 from our textbook).
Update: You can a collection of suggested review questions (and solutions) on the SL Resources page. These will be a very good resource to use when preparing for the test.
12 SL Points of Inflection and Curve Sketching
Complete the following for our next lesson.
Exercise 16D.1 questions 2cf, 3efh, 9
Exercise 16D.2 questions 1, 2
Review Set 16C question 13
12 SL Stationary Points
In class we defined a stationary point, and noted that a stationary point may be a local maximum or a local minimum. There is, however, a third option, as illustrated by the function \(f(x)=x^3\) when \(x=0\). While the function does have a stationary point at \(x=0\), it is neither a local maximum, nor a local minimum, instead, it’s called a point of inflection.
Read Section 16C, then try questions 1 and 2ac in Exercise 16C before our class on Wednesday.