MATH 1152 Midterm: MATH 152 OSU M152 Exam 1A Sol Wi11

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31 Jan 2019
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)+l+tr)="l (c) determine the displacement (i. e. net change in positiot) of thc paxticle during the time interval. J]v{" r(fl -xt,l" ? (d) determine the total (i. e. absohrte) distarce the particle traveled drrr ing the time interval [0,7]. S" i"t,rllt" s. "t*ur + i-r\ lrrrrjr = \ + c,)(-r) . al: (18 points) (a) express the follorving sum i:\ i. , ra gits"- | t. fn)rs" ""o. l t" i t, " t-0, ,#1,r, l- ":f;ll. q (b) find a definite integral f /(r) dr for which the above sum is a riglrt rjemsnn ]1l. *; , -,r+isi -. t!_y (t,. lr= c"c(-n ii{) s", p1*1 , gos (x\ i---" . " l,t{\ _--":jt-. - (c) use (b) to tind the limii ol the above sum as n . + co. *tl. \- s*(-d: (36 points) find the following integlals. Show your wod(. (nrunerical a,mwer ca. lorlator will receive ro credit-) """t lo - ,, _ ( erzk- 3dg6t "o" e{. !,r, gr"r*t +c "-&. ft),-i*e:ljf f,r5 (d) f "