Here are the suggested book problems from Stewart's Essential Calculus, Chapters 9–12. Each set is to be completed for the day after we complete the corresponding section in the lecture. **E1** corresponds to Edition 1 of Essential Calculus and **E2** corresponds to Edition 2 of Essential Calculus.

Work on all problems! **Bold** questions should be made higher priority. *Italic* questions are harder than average.

### Chapter 9.1

**E1:**1, 4, 9,

**13**, 15, 18,

**21**,

**22**, 24, 29,

*Challenge Question*:

*39***E2:**1, 4, 9,

**13**, 15, 18,

**21**,

**22**, 24, 29,

*Challenge Question*:

*39*### Chapter 9.2

**E1:**

**2**, 3,

**6**, 7,

**11**,

**13**, 16, 17,

**21**(use your calculator),

**27**,

**28**, 29,

**35**(And use your calculator to give the answer within 4 decimal places), 37,

**40**, 41, 44,

**,**

*53*

*54***E2:**

**2**, 3,

**6**, 7,

**11**,

**13**, 16, 17,

**21**(use your calculator),

**27**,

**28**, 29,

**35**(And use your calculator to give the answer within 4 decimal places), 37,

**38**, 41, 44,

**,**

*53*

*54*### Chapter 9.3

**E1:**1, 3, 5,

**8**,

**11**,

**14**,

**17**,

**21**, 26, 27,

**28**, 29, 34, 38,

**39**, 41,

**46**,

**55**, 57, 58,

**61**,

*66*

**E2:**1, 3, 5,

**9**,

**11**,

**14**,

**18**,

**21**, 23, 25, 29,

**33**, 34, 38,

**39**, 41,

**46**,

**55**, 57, 58,

**61**,

*66*

If you are shaky on polar coordinates, I suggest doing all of questions 1-20 (and more!)

### Chapter 9.4

**E1:**1,

**5**,

**6**, 9, 10, 16,

**17**, 20,

**21**,

**25**,

**29–32**

**E2:**1,

**5**,

**6**, 9, 11, 15,

**17**, 20,

**21**,

**25**,

**29–32**

### Chapter 10.1

**E1:**

**4**,

**5**,

**10**, 11, 13, 19, 21, 23,

**25**, 27, 29,

**31**,

**33**

**E2:**

**4**,

**5**,

**10**, 11, 13, 19, 21, 23,

**25**, 27, 29,

**31**,

**33**

### Chapter 10.2

**E1:**

**2**,

**4**, 9, 11, 13,

**15**,

**17**,

**19**,

**21**,

**25**,

**27**,

**E2:**

**2**,

**4**, 9, 11, 13,

**15**,

**17**,

**21**,

**24**,

**29**,

**35**,

### Chapter 10.3

**E1:**

**1**, 3, 6, 7,

**9**, 10,

**12**, 13,

**16**,

**17**, 19,

**21**,

**22**, 23,

**26**,

**27**, 31,

**33**,

**39**,

*Challenge Questions*:

*30*,

*36*,

*43*

**E2:**

**1**, 6, 7, 9,

**11**, 12,

**14**, 15,

**18**,

**19**, 21,

**23**,

**24**, 29,

**32**,

**33**, 37,

**39**,

**45**,

*Challenge Questions*:

*36*,

*42*,

*49*

### Chapter 10.4

**E1:**3, 5,

**6**, 7,

**8**,

**9**, 10,

**12**, 14,

**15**, 16,

**21**, 23, 25,

**27**, 29,

**33**, 35,

**36**, 45,

*Challenge Questions*:

*38*,

*42*

**E2:**3, 4,

**6**, 7,

**8**,

**13**, 14,

**16**, 18,

**19**, 20,

**25**, 27, 29,

**31**, 33,

**37**, 39,

**40**, 53,

*Challenge Questions*:

*42*,

*50*

### Chapter 10.5

**E1:**

**1**, 4,

**5**,

**10**,

**14**, 15,

**17**, 18, 24,

**25**, 27,

**29**, 33, 34, 38, 41,

**43**.

*Challenge Question*:

*54*

**E2:**

**1**, 4,

**5**,

**10**,

**14**, 15,

**17**, 18, 24,

**25**, 27,

**29**, 35, 36, 40, 43,

**45**.

*Challenge Question*:

*56*

### Chapter 10.6

**E1:**

**5**, 6,

**7**,

**9**, 11,

**13**, 15, 17,

**19**, 21,

**25**, 29,

**30**,

*Challenge Questions*:

*31*,

*34*

**E2:**

**5**, 7,

**8**,

**9**, 17,

**13**, 15, 16,

**19**, 24,

**25**, 29,

**30**,

*Challenge Questions*:

*31*,

*34*

### Chapter 10.7

**E1:**2, 3,

**4**, 5, 7,

**11**,

**(17-22)**, 23, 24, 28, 29, 33, 35, 37, 39, 41,

**43**,

**45**,

**47**, 48, 49,

**51**,

**55**, 56, 57, 58,

**59**, 61,

**63**,

**65**, 66, 73, 74,

**75**

*Challenge Questions*:

*70*,

*71*,

*77*

**E2:**2, 3,

**4**, 5, 8,

**11**,

**(17-22)**, 23, 24, 28, 29, 33, 35, 37, 39, 41,

**43**,

**45**,

**47**, 48, 49,

**51**,

**57**, 58, 59, 60,

**61**, 63,

**65**,

**67**, 68, 77, 78,

**79**

*Challenge Questions*:

*72*,

*74*,

*81*

### Chapter 10.8

**E1:**1,

**3**, 6,

**7**, 11,

**14**,

**17**, 19, 21,

**25**,

**26**,

**30**31, 35,

**46**

*Challenge Question*:

*10*,

*43*,

*50*

**E2:**1,

**3**, 8,

**9**, 13,

**16**,

**19**, 21, 25,

**27**,

**28**,

**34**, 35, 39,

**50**

*Challenge Question*:

*12*,

*47*,

*54*

### Chapter 10.9

**E1:**1, 3, 5, 7,

**9**,

**11**, 13,

**15**,

**18**, 25,

**29**, 30,

**32**

*Challenge Question*:

*27*

**E2:**1, 3, 5, 7,

**9**,

**11**, 13,

**15**,

**18**, 25,

**31**, 32,

**34**

*Challenge Question*:

*29*

### Chapter 11.1

**E1:**1, 3,

**7**, 9, 10,

**13**, 17,

**20**,

**21**,

**22**,

**25**,

**29**, 31, 34,

**35**,

**41–46**, 47, 51

*Challenge Questions*:

*39*,

*53*,

*54*

**E2:**1, 3,

**7**, 9, 10,

**13**, 18,

**19**,

**21**,

**22**,

**25**,

**29**, 31, 34,

**35**,

**41–46**, 47, 51

*Challenge Questions*:

*37*,

*55*,

*56*

### Chapter 11.2

**E1:**2, 5,

**7**, 11,

**19**,

**20**, 21,

**23**, 25,

**27**

*Challenge Questions*:

*15*,

*31*,

*32*

**E2:**2, 5,

**7**, 11,

**19**,

**20**, 21,

**23**, 25,

**27**

*Challenge Questions*:

*15*,

*33*,

*34*

### Chapter 11.3

**E1:**

**2**,

**3**,

**4**, 6,

**7-32**,

**37**,

**39**, 43, 45,

**47**,

**54**, 55,

**58**, 66, 67,

**71**

*Challenge Questions*:

*62*,

*70*

**E2:**

**2**,

**3**,

**4**, 6,

**7-34**,

**39**,

**41**, 45, 47,

**50**,

**56**, 55,

**62**, 70,

**75**

*Challenge Questions*:

*66*,

*74*

### Chapter 11.4

**E1:**

**1-6**,

**13**, 15, 17, 19,

**23**,

**28**,

**32**

**E2:**

**1-6**,

**13**, 17, 19, 21,

**23**,

**28**,

**34**

### Chapter 11.5

**E1:**

**5**,

**7**, 8,

**11**,

**17-28**, 31, 33,

**37**

*Challenge Questions*:

*41*,

*45*

**E2:**

**5**,

**7**, 8,

**11**,

**17-28**, 31, 33,

**37**

*Challenge Questions*:

*41*,

*45*

### Chapter 11.6

**E1:**

**22**, 23, 27,

**28**, 30, 31,

**33**,

**37**, 44

*Challenge Questions*:

*41*,

*42*,

*43*,

*47*

**E2:**

**22**, 23, 27,

**28**, 30, 31,

**33**,

**39**, 48

*Challenge Questions*:

*42*,

*43*,

*47*,

*51*

### Chapter 11.7

**E1:**2, 3, 5,

**7**, 9,

**10**, 11, 13,

**23**,

**25**, 27, 28,

**29**, 33, 35,

**39**, 42, 45,

**46**

*Challenge Question*:

*48*

**E2:**2, 3, 5,

**7**, 9,

**10**, 11, 13,

**23**,

**25**, 27, 28,

**29**, 33, 35,

**39**, 42, 45,

**46**

*Challenge Question*:

*48*

### Chapter 11.8

**E1:**1, 3, 5, 7,

**9**, 13, 15,

**17**,

**19**,

**27**,

**33**

*Challenge Question*: 39

**E2:**1, 3, 5, 7,

**9**, 13, 15,

**19**,

**21**, 23,

**27**,

**37**

*Challenge Question*: 43

### Chapter 12.1

**E1:**1,

**3**, 9, 10,

**11-33**odd,

**37**,

*Challenge Question*:

*40*

**E2:**1,

**3**, 9, 10,

**11-33**odd,

**39**

### Chapter 12.2

**E1:**

**7-19**odd, 25,

**31-41**odd,

**45**,

*Challenge Questions*:

*23*,

*48*,

*49*

**E2:**

**7-23**odd, 29,

**37-47**odd,

**51**,

*Challenge Questions*:

*27*,

*54*,

*58*

### Chapter 12.3

**E1:**

**7-19**odd,

**23-26**,

**29**

*Challenge Question*:

*20*

**E2:**

**7-19**odd,

**23-26**,

**29**

*Challenge Question*:

*20*

### Chapter 12.4

**E1:**

**1**. In problems

**3-10**, only find the mass of the lamina.

**E2:**

**1**. In problems

**3-10**, only find the mass of the lamina.

### Chapter 12.5

**E1:**7-16, 25-32, 45

*Challenge Question*:

*47*

**E2:**7-16, 25-32, 49

*Challenge Question*:

*51*

### Chapter 12.6

**E1:**11-13, 15, 16, 17-22, 26-28

**E2:**11-13, 15, 16, 17-22, 28-30

### Chapter 12.7

**E1:**9-14 (odd), 15-20, 21-26, 31, 32, 35, 36,

*Challenge Questions*:

*37, 40*

**E2:**9-14 (odd), 15-20, 21-25, 28, 33, 34, 37, 38,

*Challenge Questions*:

*41, 44*