Q02 - CALCULUS FOR THE SOCIAL AND MANAGEMENT SCIENCES Math...

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Unformatted text preview: CALCULUS FOR THE SOCIAL AND MANAGEMENT SCIENCES Math 52-10 QUIZ 2 NAME: Spring 2008 1. Giveequationsfor the straightlines definedbelow: (a) The straightline with slope ~ that goes throughthe point (-2,3). 'i -.3 =-l(a<..+Dl.) ~ ':1 ::.. 2. d{. + b ( e--/J- ~ J E>-'I'- 3X.-~~ =. I~) (b) The straightline that goes throughthe points (-1,2) and (3, -4). ~ -.1 (~ f.E}-V'" = -~(~+') ~ Lj + Lt =. -~ ~ ~ ( ;)L - 3) .) ~=--~~+t) 3 ;R ~ + ~ ::. l.) continued... 2. A Norman Window,which is a rectangletopped by a semi-circle, has a perimeterof 25 feet. Express the area of the window as a function of the length of the base. (Youmay need to use the fact that a circle with radius r has circumference21tr and area 1t,2.) Clearly tell me what each of your variables denotes. Ld e. L<.:> --t:: ~~Bl..o~ ~::: J Q t. e.A.. ~ ~ t (. ~ ') ~ h + l' ~O{.~ k.llu~ t1;. zst ~ ~ ~ ~ ~ (I:v. ie') ~~e-l..L. Db (ill' = ) c.. I ~ IZLA"l > L l../ =. ~~ .J rt:. ( ~ ') ~ ~ -.1 ~ ~ i/ '- ~ ~ :L 1r..J::- cs-t tle..~ ~ ~ ",~J:iWA~ f-~ (i"" il:: ') . (C. ~ <9l p.4-"l..M. e. CU-::. ~ 5 =. 'aL.+ :!.h +..L~ ~ (~/L') - c..U--c.b- ~:. \r.:::..l.. (~S - ex. - /). -L':!.CL. '\) (~d.) ~ at ~ ~ct- o.,!. ~ ::. ( - ~(t(~5-~-t.1CL(-i'-)) ~ ~\ ~S~ + -teL C~):. ) *************************************** - ~- - rL8dL- ...
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Q02 - CALCULUS FOR THE SOCIAL AND MANAGEMENT SCIENCES Math...

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