Hayrapetyan_Quiz_1_Fall_2007

Hayrapetyan_Quiz_1_Fall_2007 - 3. (1 pt) Use the definition...

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QUIZ 1 Name:C-"(e,J ~i<,.c)-er ( Show all your work/steps. Problem 1. (1 pt) Find the most general antiderivative of the function f(x) = (X-:,1)2 + sec2(x) + 1. Z -1-\ (x-I) . {'\ 0+1 r ( y: '] -=- I G - -{-. e?<\ ;( ) + i _x - .\-- C ,c.:l-l ,- )(. 0+ I c- \):s_ . F ('iZ') -:: - ~ ,_----F'- e~" (y: ') +)< 1- C ~'y F (x) -::.y ~ -=- i,,,__ + t-t,-~ (;(') +- X + C , ------- ...--? ....... :----- ~ y
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3 -2 5 Problem 2. (1 pt) If J f(t)dt = 6, J f(t)dt = 1, andJ f(t)dt = 4, find -2 -4 3 5 J f(t)dt. -4 -7 Sl'(t)J.-l -\. -Lf ' ' J 1. -:. ~ .5 -' ) P(L')c1t .1- S j(~)J.i -:; j t(-b-)cl t • 'l 3 -q I 0 \!J f (p ...l- Ll -= ft ( Problem
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Unformatted text preview: 3. (1 pt) Use the definition of the definite integral to express the area under the graph f(x) = si~x on the interval [1,2] as a limit. Use sigma-notations. Do not evaluate the limit. ~()() =-:S~A('1.) 'X, /)&lt;' : c-.f~~)(-1 (.. +---&quot;-~ ~~ (1 + ;fj\ .-\/ L ~ I (i of-t ) Y\. . . , , , V &quot;-5\i\.li+-(..' Y\ s i,,--( 1...-I-: ) A J Ji r--. . 2}-:: y. .--&quot;'$&gt; &lt;;oIa ~~I ICe (l. =; ob i-=I n .J-L-'7 I...
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Hayrapetyan_Quiz_1_Fall_2007 - 3. (1 pt) Use the definition...

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