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Material Type: Exam; Class: Calculus III; Subject: Math; University: Portland Community College; Term: Spring 2008;
Typology: Exams
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MTH 253 - Spring Term 2008 Test 2 - Calculator Portion Given May 20, 2008 Name
All work on this test will be evaluated for your style of presentation as well as for the "correctness" of your "answer." Follow the writing guidelines established during lecture and spelled out in your Test 2 guide. To receive full credit all relevant algebra steps must be shown on the paper.
the series
1
1 2
k
k k
1
1 2
k
k k
the 3 rd^ digit after the decimal point. State this value and how you know that you’ve established said value. (12 points)
x
= are shown in Table 1. Find, without using the Taylor command on your calculator , the second degree Taylor polynomial for f centered at 8. Your formula should have no decimals in it. (10 points)
Table 1
(^0) x −1/
− x −
x −
dx = and slight
dx
clearly outlined and that your formula is fully developed from Taylor’s formula. (10 points)
1
1 k k k
1 1.
1 k k k
1 2
k k k
k 1^ k
k^ π
1
sin 2 k
k
k
1
ln^1 k k
1
k k k k
is.
1
k k k
x k
. (14 points)
1
k k k