A solar oven is to be made from an open box with reflective sides. Each box is made from a 30-in by 16-in rectangular sheet of aluminum with squares of length x (in inches) removed from each corner....

Extracted text: A solar oven is to be made from an open box with reflective sides. Each box is made from a 30-in by 16-in rectangular sheet of aluminum with squares of length x (in inches) removed from each corner. Then the flaps are folded up to form an open box. 16 in 30 in 16 - 2r Part 1 of 5 (a) Show that the volume of the box is given by V (x) = 4x - 92x +480x for 0<><8. the="" formula="" for="" the="" volume="" of="" a="" box="" is="" v="Iwh" part="" 2="" of="" 5="" if="" the="" height="" of="" the="" box="" is="" x,="" the="" expression="" for="" its="" length="" is="" 30="" -="" 2x,="" and="" the="" expression="" for="" its="" width="" is="" 16="" -="" 2x="" part="" 3="" of="" 5="" therefore,="" v="" (x)="((" 30="" –="" 2x)(="" 16="" –="" 2x)(x),="" which="" simplifies="" to="" v="" (x)="4x" -="" 92x+="" 480x="" for="" 0=""><>< 8.="" part:="" 3="" 5="" part="" 4="" of="" 5="" (b)="" graph="" the="" function="" from="" part="" (a)="" and="" use="" the="" "maximum"="" feature="" on="" a="" graphing="" utility="" to="" approximate="" the="" length="" of="" the="" sides="" of="" the="" squares="" that="" should="" be="" removed="" to="" maximize="" the="" volume.="" round="" to="" the="" nearest="" tenth="" of="" an="" inch.="" the="" length="" of="" the="" sides="" of="" the="" squares="" that="" should="" be="" removed="" to="" maximize="" the="" volume="" is="" approximately="">