AP Calculus BC (Period 3) Assignments

12.1 #1, 6-8, 10, 15, 17, 45, 47, 48, 59-64

11.6 #1-14 eooe, 17-25, 27

From here on out, the assignments are from worksheets.

11.1 #1, 2, 4, 5, 7, 9, 11-13, 15-17, 22-24, 28-41

FR 2009 or 2006 any 3 problems (besides 1-3 on 2009, of course)

2009 FR #1-3

2007 FR #4-6

2007 FR #1-3

2011 FR #4-6

2011 FR #1-3

Links to all questions and their solutions could be found here:

http://www.collegeboard.com/student/testing/ap/calculus_bc/samp.html

11.7 #2, 3, 5, 11, 19, 20, 27, 33, 51, 52, 54, 64, 66, 67, 73

11.6 #5, 6, 9, 13, 18, 19, 22, 31 ,32, 39*, 51*, 53*

Practice AP Exam

5.5 #1, 4, 5, 9, 26*

11.4 #3, 4, 8, 20, 23, 26
11.5 #12, 17, 21-23, 25, 55*

11.3 # 5, 10, 21, 24, 28, 35, 38, 39, 54, 61, 71, 84*

11.2 #1, 2, 13, 14, 19-31 odd, 33, 39, 41, 45, 47, 51*

6.1 #11, 12, 14, 22, 29, 47*, 53*

6.2 #9-14, 21* (that means it's for fun)

6.4 #5, 7, 12, 16, 19, 33, 35, 39

6.3 #5-7, 9, 13, 15, 20, 23-31 odd, 49

4.1 #33-37, 39, 41, 44

4.1 #5-8, 11-13, 17, 18, 23, 24, 29, 30

3.9 #3, 9, 14, 15, 25, 26, 35, 41

3.1 #7-10, 23, 25-27, 29, 39, 41, 53-58

P. 814 (WS) #5-11, AP Prep #1 and 2

12.4 #9, 14-19, 24-26

11.1 (WS) 1-14, 17, 19-24, 31-34, 37-39, 41, 43

12.4 #1-8, 13

Polar graphs worksheet

#36-39, 45, 46, 56, 58, 61, 67

Also, just because I didn't put other problems, doesn't mean they don't deserve your attention.  Take a look at others.  41 and 47 are pretty cool, for instance.  Enjoy!

12.3 #29-32, 46, 47, 51-54

12.3 #1-22, 25, 28, 29

12.2 #1-10 d2s2, 17-19, 23

12.1 #45-49, 52-56, 65, 86-88

12.1 #3-5, 7-11, 14-17, 19, 25-28, 31

WS - A Nice Slice of Pi

Complete as best as you can.  You may consult one another and work together.  I've attached a link to download the worksheet if you have misplaced it.  Let me know if you need to be told your value of pi.

Test on Chapter 11 next time!

In the meantime, here are the answers for the Test Fest.

1.  C by comp test
2.  D by lim comp test
3.  C by ratio test
4.  C by alt series test
5.  C by root test
6.  D by test for divergence
7.  C by comp test
8.  C by integral test
9.  C by ratio test
10.  D by ratio test
11.  C by alt series test
12.  C by lim comp test
13.  C by alt series test
14.  8 (geometric series)
15.  11/18 (partial fractions)
16.  write out term by term, lim, x -> inf of arctan(n+1) – arctan 1 remains.  This is pi/2 – pi/4 = pi/4

17.  e^(-x/4)  (from known maclaurin series for e^x - rewrite problem as sigma of (-x/4)^n/n! )
18.  e^(-1)<x<e
19.  7 terms yield 0.9721
20.  radius 5, interval [-5, 5]
21.  radius 4, interval [-6, 2)

22.  radius is infinite, interval is all real numbers

23.  radius is ½, interval is [5/2, 7/2)

 

       All sigmas go from n=0 to infinity, unless otherwise indicated

24.  sigma (-1)^n x^(2n), radius = 1

25.  sigma (-1)^(n+1) (x^(4n+2)/(2n+1).  Radius =1, int [-1, 1]

26.  sigma 2^nx^(n+1)/n! infinite radius

27.  sigma (ln 10)^n x^n/n! infinite radius

28.  sigma (-1)^n x^(6n+3)/(2n+1)! Infinite radius

29.  c + ln abs(x) + sigma (from n = 1) x^n/(n * n!)

30.   1/24 – 1/160 approx = 0.0354

31.  e^x^3

32.  1/(1+4x) 

33.  sin (5x)

34.  arc tan (x^4)

P. 601-602 #71-79, 84-88, 91, 95-98, 104, 106, 107

9.4 #1-10, 15, 20, 23

11.7 #46-51, 55

11.7 #15, 16, 21-23, 26, 29, 31, 34, 35

11.7 #1-14

11.6 #44, 47-50, 52

11.6 #11, 12, 17, 19, 23, 27-29, 31, 35, 36

11.6 #1-4, 7-9, 13-15, 21

11.5 #41-52
WS 12.7 #1-21 eoo  (every other odd)

11.5 #1-3, 6, 9-11, 13, 14, 24, 27, 37, 38

11.4 #13-15 (for number 14, change accuracy to 10^-4)

11.4 #1-10, 19-26

11.3 #15, 16, 18-26, 29, 34-38, 40

7.7 #1-9, 11-13, 16-19, 29, 35, 37

11.3 #1-13

11.2 #9-16, 27, 30, 31, 33, 34, 36, 40, 41, 45

11.2 #1-5, 18-25, 28, 29, 32

9.1 #1-7, 9, 15*, 20
recommended for test review: P. 468-470 #17, 18, 20, 23, 24, 26, 28-30, 44, 52, 71-74

8.6 #1, 5-11, 13, 23, 33

8.5 #2, 5-7, 9-11, 13, 15, 27, 28

8.3 (do NOT use any reduction formulas!)  #1-7, 13, 15, 17, 21, 23, 26, 29, 31, 32, 45

8.2 #1-3, 7, 9-11, 21, 25, 27, 36, 38, 41, 47

WS 10.5 #2abc, 5a
Book 10.3 #3, 4

10.4 (supplement, not from the book) #1, 3, 5, 8-10

10.2 #14, 15, 17, 18

10.2 #1, 2, 4a, 8, 10, 11

10.1 #5, 9, 13-17, 21, 29-31, 33, 37