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math1b - quiz 3 - solns

math1b - quiz 3 - solns - Math 1B Quiz3 ‘.7 ‘ 1...

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Unformatted text preview: . Math 1B Quiz3 ‘ .7 ‘ 1 Question 1 _ - _ 4 Which of the following integrals are improper, and why? Rewrite each improper integral - as a limit Of a. Pmper integral (but do not determine its value); ' ’2. f‘iLS I LION/2566136113 L‘w ‘1:me ) gag?— m4. ”Lia A I» . [ff : b“ foe/X 1x _ .7” {+413 Lme-y/Zdy , [LMVTH ) gig? INJ ﬂﬁof'H/L .1 rr[ Lo tmﬁ L—m rtf _ Qﬁs 1:4. ffmﬁdm _- gmfroro) j; Ira-AL %\§J\ w! Hoe] 0/ pa 6‘ C 2TB _ 7" C“ J— ix + {£1 ﬁXx {kl—4 0°. 1 id 0+ 0‘ TURN PAGE!!! Math 113 Quiz3 ' ' 7 - ' ’ 2 Question 2 .. . . _ . ' Decide whether the following statement is true or false If true explain why If false give LI 3. counterexample. , If Loo f(:1:) )da: converges, then so does I]. «(f 2:)01’12. . ' lcal {,1 '. [x : iris /? 5 . “got {L l w (2ft: 3 01211 x Couuqu) Lwtl— vxv (ix MleJM ‘ ‘ ' l Question 3 How large would you have to choose 71 in order for the trapezoidal sum TRAP (n) to be / within 0.001 of the true value of f121n(a;)da:? Recall; ET 3 §L1i1§1—1_2)_ where K is greater or 3’ equal to the maximum value of | f”(a:)] on the given interval. ‘Lflai 1%»:th , la“)? , 'f’fa: ;; lfjflﬂw" )1] f l m L glqu' [513? 117%. ...
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math1b - quiz 3 - solns - Math 1B Quiz3 ‘.7 ‘ 1...

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