Question 2 (a) Explosive News (EN) Inc. are regarded as running one of the best specialised news websites. Their speciality is reporting volcanic eruptions and earthquakes. It is thought that the...

Extracted text: Question 2 (a) Explosive News (EN) Inc. are regarded as running one of the best specialised news websites. Their speciality is reporting volcanic eruptions and earthquakes. It is thought that the number of visitors, y, to EN's website is fairly small and relatively stable until one of the above seismic events occur. Based upon analysis of previous seismic events EN have produced the following differential equation model relating the number of website visits, y, to the time in days, t, after the event: d'y dy 2y = -20. dt2 dt The model seems to work well for a few days after the event i.e. 0 <>< to.="" a="" separate="" model="" is="" used="" fort="" exceeding="" to.="" the="" value="" of="" y="" when="" t="" 0="" is="" 10="" and="" this="" will="" increase="" initially="" at="" the="" rate="" 100="" per="" day.="" find="" the="" complete="" solution="" to="" this="" differential="" equation,="" and="" briefly="" discuss="" how="" one="" could="" use="" the="" model="" to="" decide="" upon="" the="" necessary="" website="" capacity="" (maximum="" visitors).="" (b)="" two="" financial="" variables="" y="" and="" x="" change="" with="" time="" (t="0," 1,="" 2,...)="" according="" to="" the="" following="" simultaneous="" difference="" equations:="" 2y+1="" -="" y="" –="" 3x,="0" 2x1+1="" -="" 3y="" -="" x="0." derive="" the="" following="" second-order="" difference="" equation="" in="" y="" as="" a="" function="" of="" t:="" y+2="" -="" y+1="" -="" 2y="0" and="" solve="" it="" for="" y="" if="" yo="" 6="" and="" y="-3." for="" what="" value="" of="" t="" does="" the="" value="" of="" y,="" exceed="" 30="" for="" the="" first="">