Complete the following questions before our next class.

(Blue Book)

Exercise 13J questions 1, 2, 10, 12, 13, 18

(Green Book)

Exercise 27B questions 2, 3, 4, 6, 11, 13, 16, 17

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# Category: 11 HL Homework

## 12 HL: Variance, Standard Deviation and Discrete Random Variables

## 10 Math Extended: Exponents & Exponent Laws [updated]

## 11 HL: The Definition of the Derivative

## 11 HL: Introduction to Derivatives

## 11 HL: Limits at Infinity

## 11 HL: Limits and Continuity

## 11 HL: Introduction to Limits

## 11 HL: Roots of Arbitrary Complex Numbers

## 11 HL: Roots of Unity

## 11 HL: De Moivre’s Theorem

Complete the following questions before our next class.

(Blue Book)

Exercise 13J questions 1, 2, 10, 12, 13, 18

(Green Book)

Exercise 27B questions 2, 3, 4, 6, 11, 13, 16, 17

Complete the following questions before our next class.

[update] Note that two questions were added in section 3B.Exercise 3A questions 1, 2, 3abghjk, 4abhij, 6

Exercise 3B 1abcdkl, 2, 3, 4, **7, 8**

Complete the following questions (and any others you haven’t finished) before class on Tuesday.

Exercise 16A.1 question 2

Exercise 16A.2 questions 1 and 3 (read, but don’t complete, question 4)

Exercise 16C question 3ab

Exercise 16D question 3

Exercise 16E questions 2 and 7

Using the method presented in class, calculate the derivative of \(f(x)=x^2\) at the point \(x = 5\).

**Bonus** (as suggested by Amin): Using that same method, can you find an expression equal to the derivative of \(f(x)=x^2\) at the point \(x=a\)?

Complete the following questions before our next class. Before completing these questions, make sure you read section 15C in the textbook.

Exercise 15C questions 2ade, 4, 5

Complete the following questions before our next class. You’ll find it helpful to read textbook sections 15B and 15E.

Exercise 15B questions 2, 4, 5, 6, 8

Exercise 15E questions 1, 2, 4abde, 5a

Read sections 15A (along with the example) and complete the following questions before our next class.

Exercise 15A questions 1–5, 6abef

Here I’ve attached the entire PDF presentation from today’s class. I suggest you read through that presentation and complete the questions on page 5 and 6 (page 5 contains the questions you’ve already worked on in class, so those may already be finished!).

If you want to finish complex numbers completely, read the final two slides, and give the questions from the textbook a try. (This would be a great way to review your understanding of complex numbers before the end-of-year exam!)

Update: Here’s a GeoGebra applet that will let you view the roots of an arbitrary complex number.

Complete the following questions before our next class.

Exercise 14F questions 2ce, 3bde, 4, 6, 8, 11