242examsoln_spring2011

# 242examsoln_spring2011 - Math 242 Final Exam, Spring 2011...

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Unformatted text preview: Math 242 Final Exam, Spring 2011 Sections 012, 014, 050 NAME: KEY There are 12 questions on 12 pages. The points per page are 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6. The 13th page has some formulas you can refer to if needed. [5 points] Question 1. Evaluate the limit. In In x lim xoo x t f\L \$ 0 Perl ** &lt; X &lt; J ^ X &lt; J^y_-x Question 2. Let R be the region bounded by y = cos a: and y = 0 between x = 7T/2 and x = Tr/2. [2 points] 2a. Find the area of the region R. TT/a.-TT/a SM [3 points] 2b. Find the volume obtained when R is rotated around the line . V&quot; /2 ' SUCLLS L ^ cos ^ - 0-XSM-X -f cos* [5 points] Question 3. Evaluate the definite integral. 7 T / 2 cos x dx lot ^ s OK U _ _ _ ^ _ _ _ _ _ _ ! [ u - 2 t . /- 2 ^ U - f ^ =k ? J o L 1- &amp; 1\$ 1 2L 3 _ /o /F f A 5 &quot; ' - -^ 4 - 1 / ? [5 points] Q u e stio n 4. Evaluate the definite integral. 2 r J \ / 2 X I ft 4 I S [3 points] Question 5a. Evaluate the indefinite integral dx....
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## This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.

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242examsoln_spring2011 - Math 242 Final Exam, Spring 2011...

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