$..$ DH$07$

Konsidera wan stagnant lay$\backslash$epsi r $$f n$$n$-$v$$latil s$$lv$\backslash$epsi nt we tik L$.$ Di s$$lv$\backslash$epsi nt lay$\backslash$epsi r de r$\backslash$epsi st pan wan slab $$f k$$m$$p$$nt A$.$ K$$m$$p$$nt A de s$$lv insay di s$$lv$\backslash$epsi nt lay$\backslash$epsi r pan wan k$$nstant r$\backslash$epsi t we RsA insay yunit d$\backslash$epsi m f$($m$$l$/\backslash$epsi ria t$\backslash$epsi m$).$ na di t$$p pan di s$$lv$\backslash$epsi nt layt, k$$m$$p$$nt A de evap$$ret away. di konsantresh$$n f$$ A insay di s$$lv$\backslash$epsi nt na di t$$p s$\backslash$epsi f kin riliyt to di pat pan di pr$\backslash$epsi sh$$n f$$ A na di $\backslash$epsi ya wit wan patish$$n k$$fish$\backslash$epsi nt $($K$),$ so dat C

TO

$1999.$

$($L$)=$KP$,$n di $$da wan d$$n

TO

$1999.$

$($L$)$ we d$$n k$$l$).$ Di fluks we A de fa fr$$m di s$$lv$$nt s$$fays na mas transf$$m limited$,$ so dat N

TO

$1999.$

$($L$)=$k we d$$n k$$l

c

$1999.$

K$[$P

TO

$1999.$

$($L$)$P

TO

$1999.$

$(\backslash$infty $)],$ usay k

c

$1999.$

na di mas transf$$m k$$fish$\backslash$epsi nt in yunit d$\backslash$epsi m f$($l$\backslash$epsi nt$/$t$\backslash$epsi m$).$ di gol na f$$ f$$n di stedi$-$stet k$$nsantresh$$n profayl insay di s$$lv$\backslash$epsi nt lay$\backslash$epsi r as f$$nsh$$n f$$ di dis$$lush$$n r$\backslash$epsi t$,$ RsA, difyush$$n k$$fish$\backslash$epsi nt$,$ D

TO

$1999.$

$,$n di mas transf$$m k$$fishin$,$ k

c

$1999.$

$.$ y: y $1.$ Rayt wan k$$nsavaysh$$n ikw$$sh$$n f$$ k$$mp$$n$$nt A na di s$$lv$$nt$.(3$pts$)2.$ Stet yu as$$mpsh$$n d$$n$.(6$ pts$)3.$ Yuz yu as$$mpsh$$n f$$ mek di k$$nsavaysh$$n ikw$$sh$$n simpul. $(4$ pts$)4.$ Rayt di b$$da k$$ndish$$n f$$ dis pr$$bl$$m$.(6$pts$)5.$ Identify di konstitutiv ikwyulet we nid f$$ s$$lv dis pr$$bl$$m$.(2$pts$)6.$ Rayt di ODE $$n B$.$C$.$s we nid f$$ f$$n di stedi$-$stet k$$ns$$ntresh$$n profayl f$$ dis sist$$m$.(4$ pts$)7.$ N$$n$-$dim$$nsh$$nal di ODE $$n b$$da k$$ndish$$n d$$n$.(15$ pts$)8.$ Us dim$$nsh$$nl$$s paramita d$$n kin k$$m$$t fr$$m n$-$dim$$nsh$$nalayz di ODE $$n b$$nda k$$ndish$$n d$$n$?(4$ pts$)9.$ Tink b$$t di limitin kes we difyush$$n de fast pas mas transf$$m $$n dis$$lsh$$n$.$ Aw di pr$$bl$$m go izi? $(2$pt$)$ Wetin na di stedi$-$stet k$$ns$$ntresh$$n profayl f$$ A f$$ dis kes? $(10$ pts$)$ Inklud wan skech. $(1$ pt$)10.$ Tink b$$t $$da limitin kes we mas transf$$m de fast pas difyush$$n$.$ Assume se di k$$ns$$ntresh$$n f$$ A na y$=$L na l$$k ziro. Sho wetin mek dis na gud as$$mpsh$$n$.(5$ pts$)$ Wetin na di stedi$-$stet k$$ns$$ntresh$$n profayl f$$ A f$$ dis kes? $(10$ pts$)$ Sketch wan k$$ns$$ntresh$$n profayl bays pan yu s$$lvish$$n$.(3$ pts$).$