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anonymous

  • 5 years ago

how do you find the area between two curves?

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  1. amistre64
    • 5 years ago
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    integrate between them

  2. anonymous
    • 5 years ago
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    how do you do that?

  3. amistre64
    • 5 years ago
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    lets turn the curves into lines...straight horizontal lines and see what happens :)

  4. amistre64
    • 5 years ago
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    if we bind them between x=0 and some other value like x=10 we get a square or rectangle shape right?

  5. anonymous
    • 5 years ago
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    yes yes

  6. amistre64
    • 5 years ago
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    like this; how would we determine the area of the orange part?

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  7. amistre64
    • 5 years ago
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    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?

  8. amistre64
    • 5 years ago
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    Total area - grey area = orange area...

  9. anonymous
    • 5 years ago
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    yes yes

  10. anonymous
    • 5 years ago
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    How do you find the upper function?

  11. amistre64
    • 5 years ago
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    the upper function tends to be defined; they give you 2 curves and say find the area between them right?

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  12. amistre64
    • 5 years ago
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    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 (-)

  13. amistre64
    • 5 years ago
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    if you decide to take the absolutle value of whichever way you do: |-3| then it really doesnt matter :)

  14. amistre64
    • 5 years ago
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    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

  15. amistre64
    • 5 years ago
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    does that make sense?

  16. anonymous
    • 5 years ago
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    yes yes (:

  17. anonymous
    • 5 years ago
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    so you just guess and check to find which one is the upper function?

  18. anonymous
    • 5 years ago
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    and then once you have found it, you subtract it from the lower function?

  19. amistre64
    • 5 years ago
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    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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