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exam 1, calc 2

exam 1, calc 2 - -t(O,~tS i{O-P(2'LS-i.p(l Z(SI'1...

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Exam 1, Math 351 Summer 2010, Terry American River College Directions: Closed book. Closed notes. No collaboration! Answer each question on the paper provided. Exam ends at 2:30pm. Graphing calculator permitted. Question 1: Use n=4 to approximate the value of the given integrals using the trapezoidal rule. (5 points each) Question 2: Using left endpoints and n=4, approximate the integral f: x 2 dx. (5 points) Question 3: Evaluate each integral. (5 points each) (a) f ~dx x (b) I(x + 1)2 dx f 1+v'X (c) vx dx (e) I eX cos(e X + 1) dx (f) I eX sec(e X ) tan(e X ) dx OVER FOR MORE PROBLEMS

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Question 4: Find the area between the curves y = .: and y = x. (5 points) x
(0.. ) 0 I -\ ~ t t- 1 2,2,5 .2,7 S 2.5 .1

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Unformatted text preview: +-t(O,~tS) i .({O) + -P(2. 'LS) + -i .p(l)) Z * (SI'1. . 2.'2. .5 "l. . ~ !,''''' o. S ~ +-si r'\ 0, "S ~-+ :i s"f\. I) -'( 1-~-~ "; ~s + 0, ~ + 0 ,/~ '"L.) _ 3 12-/ 3 , ~--~ +-" 2-+ f .3 ~ 1,. e x 3 J~ = f e l.( ~l.( =-e L( +-C. q-=)c -' ~ dll< : 3~ 'J.,dx (t-) Je.~Cos(e"'~I)dX .. f CoS L.( J",-:::-Sill U + c:. . U =e X l-, l· Si~re,,-:-~ .~ z d) du -:: e~ d 'X, (f-) f e" SILt! (e. "') fa-. (e" ) J~ ::. f ~ fA. ~ t.t dl.f. . ~ LI. -:= e. =9 du -:::e,~d)c, == SJu-LA. +-c.. : [5:7e x ) ~:.~] ® Ilis Wt.l.j ~ !,,~ ~;+ S;A.U, +4-~",u-. . ~ f;~ .. J /J ~ f ~(~-L )c:/;x / )< -I \,. . J J 2,.-~ 1£ -fl'l % I _ I ( 1,. . I t.. -~ 2. ) -) ~ "2.--~ (, ) + IA. , = f -/Vl ~7...
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exam 1, calc 2 - -t(O,~tS i{O-P(2'LS-i.p(l Z(SI'1...

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