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Unformatted text preview: Prof. Girardi Math 142 Fall 2009 12.08.09 Final Exam  Take Home Part MARK Box 1 B i
PROBLEM POINTS NAME (legibiy printed): am e S 0 7”?
———TO,W 10 —— class PIN: L— INSTRUCTIONS: (1) To receive credit you must:
(a) work in a logical fashion, show all your work, indicate your reasoning;
no credit will be given for an answer that just appears;
such explanations help with partial credit
(b) if a line / box is provided, then:
—— show you work BELOW the line/box
put your answer on/in the line/hex
(c) if no such line/box is provided, then box your answer
(2) The MARK BOX indicates the problems along with their points.
Check that your copy of the exam has all of the problems.
[3) This exam covers (from Calculus by Anton, Bivens, Davis 8th ed): § 11.1, 11.2, 11.3 . Problem Inspiration: just like the homew0rk. This take home part of the final is due at the beginning of our in class ﬁnal on
December 8 at 2pm. You may use your notes, book, and calculator. However, you may not discuss this
examine with anyone other than yourself! Honor Code Statement
I understand that it is the responsibility of every member of the Carolina community to uphold and maintain
the University of South Carolina’s Honor Code.
As' a Carolinian, I certify that I have neither given nor received unauthorized aid on this exam.
Furthermore, I have not only read but will also follow the above Instructions.
I hereby verify that 1 di ' )T receive help fro _ or people on this takehome exam problem. Signature : 1. Consider the curve in polar coordinate 1a. The period of r = 5 — 551119 is the perind of r L 5 — 5sin6 __
1a. 4 — 2' 1c. Make a chart, as we did in class, to help you graph r = 5 — Ssin I9. 1d. Graph r = 5 — 531116.
Clearly label the pointa in polar coordinat (7°, 6), where the graph crosses the 288st or yazrcis. 2. Express the area enclosed by T = 5 — 58in I9 as an integral with respect to 6’
(0k with respect to 9 means a d6 in there). {You do not have to evaluate this integral.) e ’ . i ' = '55:“ ‘; {ILLS area “me .. wat ~ ’
ii (is A = iii W612 C19 GK. 1 . d, we )
Thaie are mam: Mmem (aim: Jra ‘95 «W ‘6, ...
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This note was uploaded on 12/13/2011 for the course MATH 142 taught by Professor Kustin during the Fall '11 term at South Carolina.
 Fall '11
 KUSTIN
 Calculus

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