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Unformatted text preview: a Sections 6.1 (Due: Tuesday, 11I27) Qescrigtion: This homework will help you understand integration as a tool to determine the area between graphs of functions. 80 you will know how to~ mput areas between can/es that cross each other. Show all work to get full credit. 3:12:53 \n rscc ioMi 2) 1) Considerthefollowingshadedregio . OLX . X : bx => 6X — X I 2X z) J4x,x;: O
y , Wrg‘amz s z 3 (me. mm.
W69 L :5\’(J4X—XL)C‘X:
“ e. 3 Li : szl‘g] Find the area Sqof this region if a = 6, b .— i.
s =
Fad inTcrsecJﬂmg f 2) Considerthe following shaded region. r' v _  a: ’ 2b” = O 3‘ I 2  :0
ea :1 Aye—3‘6 3243—93 3 >33 33 >545 5)
“5 gios.
'C p 2 2 "g 3’5” Zr Wk Gal2) 43 “33%? L W34 2%]? Y z d — '6‘ Z 3 C
F’ dth I=gyfutlf2haded ' ='£‘J§ ‘3— ' 1n earea’xo es reg10n1a= , = . . 3) Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. '3 on . Your instructor may ask , youtotuminthisgraph.) _ G L: Q 19 9 AZ: ﬁat? ’9 ii : 9’ =) r i A rche .r'=6G;/2.J'=Gy2—6 T , ' 1 . 3 4 “2,; Then ﬁnd the areaSofthe region. 3 =5 (L (>31 sz+gdg :3 (4 2 — 423‘) = H23 4211‘. (jg >
1 : ftrzn>(w>;@ b MW 4) Two cars, A and B, start side by side and accelerate from rest. The ﬁgure shows the graphs of their
velocity functions and a = 2. mm
7456.... (a) Which car is ahead after two minutes?
if (_) neither
r (_) car B Explain.
r (_) The area under curve A is equal to the area under curve B. r (_) The area under curve B is greater than t5 area under curve A. (r (o)The_ (b) What is the meaning of the area of the shaded region?
r (_) It is how much faster B is traveling than A alter 2 minutes.
r (_) It is how much faster A is traveling than B after 2 minutes.
F g ) It isthe distance by which B is ahead ofA after 2 minutes. ‘F (o) It is a; distanéﬁai‘whiéh A is ahead oh; diet 2 may
ﬂm under curve A is greater than the area under c7 (0) Which car is ahead after four minutes?
r (_) car B r‘ (_) neither
/ r' \\“‘p Explain. r (_) The area under curve A is equal to the area under curve B. r (_) The areaunder curve B is greater than the area under curve A. (o) The area 'under curve A angereurve 3;) \‘ ‘kld— __,_,,,_____ __w_ ,QLinAnaEL 0‘ . \. @T is ’Hu AisianCL W kw) {Kain/cued. @ ‘iRmx ﬁx“ m 3 if m ream wow I? m was;
j: 2X2 , “\Cnaen‘} JAN —}'0 WMLO‘Q c3" (4) Z) and Hum—ax; 3: 2x1 (— at' (4) 2—) J (Wu aqua£671 s3, ‘Hu. 10AM is ‘. 41/ d 7_ .‘
Hgl :YMXi) " m: (dz: )\(«)2) @ iHuz Rim ,QhC'voKJ 5R; 3'st mm: g:_&m(:ﬂ2<_> ‘ v 4
‘ c2 3r. ...
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 Fall '08
 Noohi
 Calculus

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