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-1 2 "  " }{TEXT 256 48 "                Calculus 1 optimization probl
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121_optim1.mws, 7-99" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 223 "Person in a boat 2 miles out fro
m a straight shoreline wishes to reach a point B which is 6 miles down
stream from the point A closest to shore. The boat speed is 3 mph, wal
king speed is 5 mph. Find the optimal landing spot." }}{PARA 0 "" 0 "
" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 126 "Let P be a point betwe
en A and B on the shore and let x be the distance from A. Let T(x) den
ote the time it takes to get to B." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 108 "T:=x->(1/3)*sqrt(4+x^2)+(1/5)*(6-x);\nDT:=unapply(di
ff(T(x),x),x);\nx0:=solve(DT(x)=0,x);\nT(x0);\nevalf(T(x0));" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"TGR6#%\"xG6\"6$%)operatorG%&arrowGF(,(-%
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 98 "f:=x->sqrt(x^2+(1-2*x)^2);\nDf:=una
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chard estimates that if 24 apple trees are planted per acre then each \+
mature tree will yield 600 apples per year on average. For each additi
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r. How many trees should be planted for maximum yield?" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "A:=x->(24+x)*(600-12*x);\nDA:=unapp
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11 "" 1 "" {XPPMATH 20 "6#>%#x0G\"#8" }}{PARA 11 "" 1 "" {XPPMATH 20 "
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{XPPMATH 20 "6#<#\"&Gk\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"&Gk\"" }
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{PARA 0 "" 0 "" {TEXT -1 100 "Cars crossing a 1 mile bridge are 12 fee
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0 "" 0 "" {TEXT -1 120 "(a) Show that the greatest number of cars on t
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0 "" 0 "" {TEXT -1 147 "(c) If stopping distance (in feet) is 0.05v^2,
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