AP Calculus BC Assignments

Instructor
Mrs. Sherri Foster
Term
Fall 2010
Department
Mathematics
Location
Room 401
Description
AP Calculus BC follows the guidelines as given by the College Board for 2nd semester Differential and Integral calculus that builds upon the AB curriculum and expands topics to advanced integration techniques and applications, Polar, Parametric and Vector calculus as well as Series and Polynomial approximations. All students are expected to take the AP exam on May 4, 2011

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Past Assignments

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p540: 9-33 odd Improper Integrals

End of Chapter 7 review: You select 15 problems to practice

Answers to in class review"

IBP: 1. e^x(x^2 -2x +1) +C 2. xlnx -x +C

PR: 1. 2/3(2ln|x-1|-1/(x-1) + C 2. -1/10 ln|(x-5)/(x+5)| +C

Trig Int 1. sec^4x/4 + C 2. ln|1-cotx| +C

Trig Sub 1. -sqrt(4+x^2)/(4x) +C 2. sqrt(4+x^2)/3 *(x^2-8) +C

LHR: 1. - infinity 2. 1/2

Improper: 1. pi/4 2. 32/3

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p. 496: 3-11 odd and 17-31 odd (Trig Inegrals)

p. 505: 5-17 odd and 19-37 eoo (Trig Sub)

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p. 452: #23 and #33

Barron's Set 6 1-27 all

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Test Review Answers:

1. 81/2 6. 135pi/2 11. 30.847 16. 11250 ft-lb

2. 9/2 7. 8pi/3 12. 258.847

3. 9pi/560 8. 11pi/30 13. 45 ft-lb

4. 81sqrt(3)/40 9. 9.073 14. 275 mile-ton or 2.904 *10^9 ft-lb

5. 8pi 10. 3.246 15. 15444pi ft-lb

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Springs & Satellites p. 451: 1-17 odd

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Arc Length p.442: 1-7 odd by hand, 9-17 odd with calculator

Supplementary Exercises 19-21 to 19-34

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Cross Sections p425: #55 all parts

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Volumes Shell: p. 432: 1-11 odd

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Volumes - Disk/Washer: p.423-424: 11-21 odd and #46

Board 4 a,b,c and Barron's Set 7: 24-28 all

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Area between curves: p. 413: 13-25 odd

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Study for the summer packet/class review test on Thursday.

20 questions, 5 points each.

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Study from Chapters 1, 2 & 4 to cover the basics regarding limits, derivatives and integrals. Student generated multiple choice quiz tomorrow. Prerequisite test this Thursday.

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Go to the Santiago website and search for your course.

Find the syllabus for your course, download, print and sign. Return by Friday 9/10/10.