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JOHNSONtCOUNTYtCOMMUNITYtCOLLEGE Businesst&tAppliedtCalculus FinaltExamtReview Name:_______________________________________ 1. Thetmarginaltcosttfunctiontfortatcertaintmanufacturertistgiventby P = 25 + 20 0.03 andtittcostst$2500ttotproducet10tunits.tFindtthetcosttfunctiontandtthentfindtC(100). ] ^_ 2. Findtthetintegral ( ` ] )tdxtusingtsubstitution. ^a =
JOHNSON\tCOUNTY\tCOMMUNITY\tCOLLEGE Business\t&\tApplied\tCalculus Final\tExam\tReview Name:_______________________________________ 1. The\tmarginal\tcost\tfunction\tfor\ta\tcertain\tmanufacturer\tis\tgiven\tby P = 25 + 20 0.03 and\tit\tcosts\t$2500\tto\tproduce\t10\tunits.\tFind\tthe\tcost\tfunction\tand\tthen\tfind\tC(100). \\ ] ^_\\ 2. Find\tthe\tintegral ( ` ] )\tdx\tusing\tsubstitution. \\ ^a\\ = = 3. Find\tthe\tarea\tof\tthe\tregion\tbounded\tby\tthe\tcurves = 6 f and = f 2.\tInclude\ta detailed\tgraph\tand\tshow\tsteps\tneeded\tto\tdetermine\tthe\tupper\tand\tlower\tlimits\tof\tintegration. (You\tmay\twant\tto\tinclude\tgraph\tpaper.)
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