anonymous
  • anonymous
how do you find the area between two curves?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
integrate between them
anonymous
  • anonymous
how do you do that?
amistre64
  • amistre64
lets turn the curves into lines...straight horizontal lines and see what happens :)

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amistre64
  • amistre64
if we bind them between x=0 and some other value like x=10 we get a square or rectangle shape right?
anonymous
  • anonymous
yes yes
amistre64
  • amistre64
like this; how would we determine the area of the orange part?
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amistre64
  • amistre64
we would take the area of the whole thing from the x axis to the top "function". and subtract the area that is defined by the x axis to the bottom "function"....right?
amistre64
  • amistre64
Total area - grey area = orange area...
anonymous
  • anonymous
yes yes
anonymous
  • anonymous
How do you find the upper function?
amistre64
  • amistre64
the upper function tends to be defined; they give you 2 curves and say find the area between them right?
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amistre64
  • amistre64
if you dont know the "upper" function off hand, just pick one; and if your area is negative, then you choose the wrong one :) tell me: does: 5-8 = -3? 8-5 = 3? same numbers, different order just produce a spurious (-)
amistre64
  • amistre64
if you decide to take the absolutle value of whichever way you do: |-3| then it really doesnt matter :)
amistre64
  • amistre64
If the whole are is 10, and the part to take away is 4: 10-4 = 6 which is correct. but if you switch them its no big deal really since area is not negative to begin with. 4 - 10 = -6 gives an area, its just been done backwards...|-6| is what you want
amistre64
  • amistre64
does that make sense?
anonymous
  • anonymous
yes yes (:
anonymous
  • anonymous
so you just guess and check to find which one is the upper function?
anonymous
  • anonymous
and then once you have found it, you subtract it from the lower function?
amistre64
  • amistre64
if you cant tell the difference between the two, then yeah :) Youll know your backwards when you get a (-) area between two curves because thats just silly :) tell me, between me and you is there negative distance?

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