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Ernst_Test1_Fall_2006

Ernst_Test1_Fall_2006 - ’ |.3 t.rr-a[flu «5.91:1....

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Unformatted text preview: _ . . . ’ | .3 : ' -. t .rr-a [flu -' ' «5.91:1.» J’fii.‘!avif"rlrLEIE’--_. 1" C: 5: _ MATH 102412— TEST " ' ' NAME: MS. ERNST - APRIL 21, 20:17 1. (Tpts) Given f'[x}=l+cnsx, f’(fl)=2andf{:r]=]. Find f(x}. I’M: X-t 3:1ch +- (.1 fifth }: O + .{JMJ’UJ +C= c9 C 3 Q 1933!): H+dmk+§ f3 '7 "P{X): ékfihcmM-f Jx-a'c g i”: ““3631”? Pf’t‘fi') __— Eff?” —- cam/5W) + 6’"?! wt- (f: I f _ ff» .7? 3 _ 5% f-ué’fi'} + 3511 4 C : I 6%) " —-..-_._ C : "F “SCH—ig- K _ flan": — _ ;,I Q WWW a) r) y ..... __.____.. - H..;J.i- 2. (3111's.)Evaluatethemtegmiusmgihél‘fifiififimfifl'fiififiun.[RiemaIm-Sum} , . [(x2+2x]a€r ' _ C) i’., ,1 o waHh flour a J: . a ,_ :5“. WM 5(a) :3 140111410“ ”Hm E” n n” \ 8 5:3; fig) 9 $41. A' . Ir _._... £(Ffii) .. ff: 3 3 +5? +én$§+ 13:15 Jr , din a: 7.7"? Iffl)a+ 969;) .23 T—“Vfl’w‘ é +fl -1— 8 ur-fl + 3/ I n 71"" f1 £14,415- 3 an A? 3 3;“ fl .9 ._. hr“ 2, _g} "’1“; ..L E ) _._. A H 3 .3 _ _ 3% + .229 n n3 ‘2 {’3 fl” .fl 2 -§' fl. fi-fiud n5 '1' '1' n9 2 L 4. (32 pts.) Evaluate the integrals. Show ALL steps. a. £31+31+x3+3dr IL ) ,3). f "-' _.r .I" =43: 14.333: 3J6 L32 nix .- lid-y fif- -‘:;c>iu rik’ "' 3x .._ _ s: q r 3.2 +;__+JX+3x+Qr .g'lrifj‘} H h' 1+x It _3 1: 1f}: _,, if f“; + 3) (six fme/l-FX‘ /“ WU? x J dim _t 'V; . d. [it w— ; , a 56: I viii“:2 Q/ LITE “2/ 4’ LL: (ii—tyyjcilc J 9:159 an: JR 63x 15 t ’45! 50:“: not): _____ U" 5a. {16 pts.) Evaluate the integral numerieaiiy using the Trepezuitial Rule. SHOW ALL STEPS. (Round yum“ answertc- 4 deciInal piaees.) 3 L”! .I' '3' i I 3:4 fir, H = ‘1- ‘ 6-? {it} I‘ 33. 3 x a and: QéDJ an“: 3.1L : 0-00 T — .L J r r‘ F' - I : DJFFr' ‘f‘ Q'F'(r(9}4 “AXLE, Jj'ffflK-‘x"""{r{/§J}‘({JJ ~ 0.60 _— 0_ til-Q If? : Ti: (3+ 3(0i‘r‘q-1l-Dialfll- O;?é,)+ L00) '—-—._ ”t;rt : esteem 2 5b. Find the exeet value at" the integral. J.» 3 LE 56 fli- 45¢“ a“) / fl 1 Q / .4!— flick 6 3:34.41; LL M (t: yg-Jfifcfiy thpt, div. :1 eh: {TEE-e: g r r 1. 5.? gram: gm “WK-PW /1 6. (l U pta.) Find the area hounded by the curves. [Sketch the region) y=x3—x, y=3x, [15x52 21(9 '39—}? EU ’1. [2H pta.) Set up but do not evaluate the integrals that would find the volume of the solid formed by rotating the region bounded by the curves J” = 2372: y = 2:: about the lines; [ DID NOT EVALUATE THE INTEGRALS ] [ SKETCH THE GRAPH ] graffiti/3", 9;: 3k: {:54} v: ifffxfi (;})[email protected]€x 1'3 V: ‘;10,/ LJXQF ‘1’le (ix __._._..__ "EX Fill] _ “ “-‘ll'l “Mm @313 f V: 1'0/3/31 n. 4233143 ...
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