anonymous
  • anonymous
Anyone knows why the domain is 0 < x < 10 sqrt (2) plz see the picture attached
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
It is an optimization problem
experimentX
  • experimentX
maybe some constraint given for height??

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anonymous
  • anonymous
but how u know it is 10 sqrt (2) the question itself didnt give any restriction
experimentX
  • experimentX
so there are no constraints??
anonymous
  • anonymous
oh it actually says The machinery available cant fabricate material smaller than 2 cm in length but it doesnt really affect that 10sqrt (2)
anonymous
  • anonymous
The volume of a square-based rectangular cardboard box is to be 1000 cm3. Find the dimensions so that the quantity of material used to manufacture all 6 faces is a minumum. Assume that there will be no waste material. The machinery avaiable cannot fabricate material smaller in lenght than 2 cm.
anonymous
  • anonymous
or what is the domain in this question? for x
experimentX
  • experimentX
mathematically should be greater than zero ... or less than zero (technically discarded)
anonymous
  • anonymous
yea, but since the question says mustbe more than 2 so the domain is only x > 2?
anonymous
  • anonymous
cuz i think the domain is only for surface area but not volume
experimentX
  • experimentX
maybe the question is asking you to find the absolute maximum ...
anonymous
  • anonymous
yes it is but the teacher tells us to findthe domain too
experimentX
  • experimentX
the domain is value of x .. surface area and volume are range
anonymous
  • anonymous
what do u mean? i thought they are the same...
experimentX
  • experimentX
your given function is A(x) the value of A(x) is the range, and x is the domain
experimentX
  • experimentX
http://www.wolframalpha.com/input/?i=y+%3D+2x%5E2%2B4000%2Fx mathematically x can have any value excluding 0, that is your domain
anonymous
  • anonymous
ohhh but i have other questions that the domain has 2 restrictions .. let me see if i can figure it out first but thanks! i mixed up domain and range!!
experimentX
  • experimentX
here your domain is [0. 10sqrt(2)] ... i think it should be (0. 10sqrt(2)] since function is discontinuous at 0 adding another constraint that machine cannot make x less than 2, the new domain must be [2. 10sqrt(2)]
anonymous
  • anonymous
but i dont know where that 10sqrt(2) is from.. cuz that one is juz thetextbook answer
anonymous
  • anonymous
And u know for A = 1000x - 2x^2 i checked on that website, it shows domain is xer but actually the restriction is 0< x< 500
experimentX
  • experimentX
not .. the question has given you the domain
anonymous
  • anonymous
which ques u talking abt?
experimentX
  • experimentX
for this function A = 1000x - 2x^2, the domain is whole set of real number, but you can specify domain while defining function
anonymous
  • anonymous
OHHHH yes I get x can be any numbers but the question itself has restriction but the first question only tells u minimum is 2 so i guess the domain there will juz be x> 2
experimentX
  • experimentX
yes ...! some function are defined that way ... with a restriction.
anonymous
  • anonymous
Thanks ! srry for taking so much of ur time :)
experimentX
  • experimentX
it's all right ... you can learn a let by teaching too

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