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# Class Note for MATH 115 with Professor Sood at KU

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COURSE
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TYPE
Class Notes
PAGES
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WORDS
KARMA
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This 1 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Kansas taught by a professor in Fall. Since its upload, it has received 11 views.

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Date Created: 02/06/15
Related Rates Stggs fur Snlvung Relate Rates Ptnhlems Asstgn ayanab1e to eaeh quantity Draw a dtagram 1fneeded wrtte the gtyen ya1ues othe yanab1es andthetr rates ofchange wtth respeettot Fmd an equation gtytng the re1ationshtp between the yanab1es Dxfferenuate both stdes of thts equation tmp1tett1y wtth respeet tot Rep1aee the yartab1es andthetr dertyattyes by the numenea1 data foundm step 2 and some the equation for the requtredrate ofchange mwa t Example 1 A study prepared for the Nationa1 Assoetatton ofRealtors estimates that the number ofhousmg starts tn the southwest N0 tn untts of amt11ton oyerthe next 5 years ts re1atedto the mortgage rate rt percent per year by the equation What ts the rate ofchange othe number of houstng starts wtth respeet to ttme when the mortgage rate ts 11 peryear andts tnereastng at the rate ofl 5 peryear7 Enamp1e 2 A major audtotape manufaeturer ts wt11tng to make ir Lhousandtenrpacks ofmetal a11oy audtoeassette tapes ayat1ab1e tn the marketp1aee eaeh week when the who1esa1e pnee ts 0p per ten paek Itts known that the re1ationshtp between ir andp ts gtyen by the supp1y equatton xirszpy pi How fastts the supp1y of tapes ehangtng when the prtee per tenrpackxs 011 the quanttty supp1tedts 4000 tenrpacks andthe who1esa1e pnee pertenrpackxs tnereastng at the rate of 10 per tenrpack eaeh week7 Enamp1e 3 At a dtstanee of4000 feetfrom the 1auneh stte a speetator ts obserytng a roeket betng1aunehed Ifthe roeket lets offvemcally andts rtstng at a speed of 600 feetsecond when ttts at an a1titude of 3000 feet how fastxs the dtstanee between the roeket and the speetator ehangtng at thattnstantv Enamp1e 4 A passenger shtp and an ot1 tanker 1e tport sometime tn the momtng the former headed north andthe 1atter headed east Atnoon the passenger shtp was 40 mt1es from port and sat1tng at 30 mph wht1e the ot1 tanker was 30 mt1es from port and sat1tng at 20 mph How fast was the dtstanee between the two shtps ehangtng at that time

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