Complete the following questions before our next class.
Exercise 17E.2 questions 1cdef, 2bef, 3bc, 4
12 HL: The Quotient Rule and Derivatives of Exponential Functions
Complete the following questions before our next class.
Exercise 17D question 1ef, 2df, 3c, 5, 6, 8
Exercise 17E.1 questions 3, 6, 7
12 HL: The Product Rule
Complete the following questions before our next class.
Exercise 17C questions 2, 3, 4, 6, 8
12 HL: The Chain Rule
Complete the following questions before our next class.
Exercise 17B.1 question 2
Exercise 17B.2 questions 3, 4, 5, 6, 7
12 HL: Calculus: Reviewing the Basics
Complete the following questions before the start of class on Tuesday, August 25th.
Complete:
- Review Set 16A (all questions)
For question 6 you can use the rule that \[\textrm{If } f(x)=x^n, n\neq 0, n\in \mathbb{R}\textrm{, then }f'(x)=nx^{n-1}\] rather than using first principles. (Also, remember that “from first principles” is the way that some textbooks will indicate that they want you to start from the definition.) - Exercise 17A questions 2, 3, 6, 7cdef, 8, 11
(If you finish this and want to work ahead, continue reading Chapter 17.)
12 HL Taylor Series
Complete the following questions before our next class (these are from the Pearson book).
Pages 1411–1412 questions 17a, 23, 26abc
12 HL Power Series
Complete the following questions before our next class (these are from the Pearson book).
Page 1411 questions 1–16
12 HL Alternating Series
Complete the following questions before our next class.
Exercise K.3 questions 3, 4, and a few questions of your choosing from questions 7 and 9 (I suggest at least two from each).
12 HL The Ratio Test
Complete the following questions before our next class.
Use the ratio test to determine the convergence or divergence of the following series.
- \[\sum_{n=1}^\infty \frac{n^3 3^{n+1}}{4^n}\]
- \[\sum_{n=1}^\infty \frac{n^{10}}{10^n}\]
- \[\sum_{n=1}^\infty \frac{n^n}{n!}\]
From the Haese book, complete Exercise K.3 question 1.
12 HL The Comparison Test(s)
Complete the following questions (from the Haese book) before tomorrow’s class.
Exercise K.1 questions 1acd, 3, 4bcef, 5