anonymous
  • anonymous
A rectangle has area 49 m2. (a) Express the perimeter of the rectangle as a function of the length (L) of one of its side. Part (a) = 2L + 98/L (b) State the domain = ?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
domain is L>0
anonymous
  • anonymous
were you supposed to derive a) or just assume it?
anonymous
  • anonymous
yeah i found a)

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anonymous
  • anonymous
ok well since it is a rectangle the length has to be positive.
anonymous
  • anonymous
so its 0 to infinity ?
anonymous
  • anonymous
or does it have to be less than 49
anonymous
  • anonymous
no it doesn't have to be less than 49 i don't think. you just must have LW = 49 so at least in theory L could be say 1,000,000 making W \[\frac{49}{1000000}\]
anonymous
  • anonymous
your perimeter in this problem is not fixed. if it was then you would have a restriction on L
anonymous
  • anonymous
so then its (0, infinity)
anonymous
  • anonymous
that is what i would say, yes.
anonymous
  • anonymous
THANKS
anonymous
  • anonymous
welcome

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