Ex 1-3-2 - 1.3 F uncti ons T hei G B phs a nd r 27 28 a L...

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1.3 Functions and Their GBphs 27 28. a. L 30. a. ) Theory and Examptes 37. A box wlth an ops 1op h Io be co$hrcted from a Ect.ngular piece of cardboard \rlth dimensiors 1.{ in. by 22 itr. by curli!8 out equal squdes ofside r at erch comer and then lblding u! tlE ldcs as in the figure. Expres the volume i/of the box as allnctionofr. 1 i Gralh the turctions l(r) = t'2 ud s(r) = I + (4/r) ro- eether to ideftiry thc Elucs ofr lb. *hich r-r*1 2-f, Confirm yourfindings in pan (a) algebrlically. Graph tle ftnctrons l(x) = 3/() l)ands(r) = 2/(J + l) toSether to idenrit thc valucs ofr ibr rliich 3-2 . l-r+l Confim your findlngs in parl (a)algebialcall,. The fiSure sho$r hcrc shows a fcctanglcinsonbcd i,r an isosceles rielr darglewhosc hypotctrusc is 2 units long. a. Expres fie r coodilate of P h termsof r. (You mLght start by wriling d equatlon lbr thc linc ,.r't.) b. Etpres the areaoft|e rcctuelc in tcrms ofr A coDc problcB Begin with a clrculaf liecc of lapcr with a 4 nr. radlus as showr in lul (.). Cut oul a scctor wrlh e arc lcnglh ofr. Joh thc t*o cdgcs ofthc rcmairing ponion to forn a cone
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