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M408CF07Assign7Sol

# M408CF07Assign7Sol - M408C Fall 2007 Assignment 7 Due...

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Unformatted text preview: M408C Fall 2007 Assignment 7 Due Thursday7 November 1 You must show sufﬁcient work in order to receive full credit for a problem. Please write legibly and label the problems clearly. Circle your answers when appropriate. Multiple papers must be stapled together. Write your name and the time of your discussion section on each page. Feel free to discuss these problems with your classmates. However, each student must write up his or her own solution. 1. An object moves along a coordinate line with velocity Mt) : (2t — l)2 — l for 0 S t S 3. The position of the object at time t = 0 is one unit to the left of the origin. (a) Find the position of the object when t : 3. (b) Find the total distance traveled by the object during those three seconds. sec2(;r) x/l + 3 tan 1' 3. Sketch the region bounded by the curves y : sinzr and y = sin 21‘ for 0 S r S 7r 2. Evaluate the deﬁnite integral /4 (11‘. o and ﬁnd its area. 4. Sketch the region bounded by the curves 3/ = 1:2 and y = 4. This region is divided into two subregions of equal area by the line y = c. Find c. 7‘ 5(3); 3(0) + fringe/t- d—w 587:4 4— g: [thy-rl au— :4 + 0343,41: au- :4 +L§is-gzt‘ 3 50% aha/+6 mm Mm Wu Mi MOW; Wu; (L) “(14 +uLJ 914414va JAM 17% 4-4 OQI'aUF rg 3 go hr/t) Mt , NW (\rml : I‘ch‘lqtl : H7244.— )Vi t7 l nt<0 —(¢t€qt3 ,4 051:2! SIWM’rn V'lfyt 4":(£"\ .) t 3 So 3 heroUrz 344%-th Jt+§ 4t"—4tab+ c) l —[‘//3t3-2tz‘(o‘ + [V/stS-at‘jlg ‘ “La-:2] + [z(s>3~axs>‘—(4e—23J : (2/3)+ (BL-1834(Z/3> 2' (3+V/3 .= 5—8/3 W L» M : ugh/w M 3 Skull M WM 7C :0; U : l434—9ﬂ’0) ”I VIM,“ ,TT/L, ; 1+34—m(r7‘,):143 : 4/ W Z ‘4 O {/1434m3ﬁ I VT: MX(3w8¥—'t§:0 =>7 .S/Imx:0 Aém5¥-1:o :7 X=0l7r CUSX;I/Z 3:?) x __Tr/3 T!" m r \ 0 W3 “7 "(T :(_i—ws(2¥\ +ws¥J 3 4, Y- 603% +1icaglzyc)l O “73 ;(‘: QAMVQ +4” \$3 - (”l2 +0 + (l “’23- (-047773 514653 J V‘Hiz “i ”34-944) : 572. ...
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