HW_sol(2) - a Sections 6.1(Due Tuesday 11I27 Qescrigtion...

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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 32-43—93 3 >33 33 >545 5) “5 gios. 'C p 2 2 "g 3’5” Zr Wk Gal-2) 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 1-9 9 AZ: fiat? ’9 ii : 9’ =) r i A rche .r'=6-G;/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 : ftrz-n>-(-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 area-under curve B is greater than the area under curve A. (o) The area 'under curve A angereurve 3;) \‘ ‘kld— __,_,,,_____ __w_ ,QLinAna-EL 0‘ . \. @T is ’Hu AisianCL W kw) {Kain/cued. @ ‘iR-mx 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 :YMX-i) " m: (dz: )\(«)2) @ iHuz Rim ,QhC'voKJ 5R; 3'st mm: g:_&m(:fl2<_> ‘ v 4 ‘ c2 3r. ...
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