Equal area question

  • Thread starter mikesown
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  • #1
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Homework Statement


"Find a horizontal line y=k that divides the area between y=x^2 and y=9 into two parts"


Homework Equations





The Attempt at a Solution


Found intersection at (-3,9), (3,9)
Found total area to be 36, half(the area needed for each portion) to be 18. Don't know where to go from here.
 

Answers and Replies

  • #2
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Find the two areas as a function of k.
 
  • #3
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Find the two areas as a function of k.
Can you elaborate more on that? I'm not quite sure what you mean.
 
  • #4
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y=k divides the total area into two parts, A1=A1(k) and A2=A2(k). You need to find an expression for each area as a function of k and then find the value of k for which A1(k)=A2(k)
 
  • #5
Hurkyl
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Don't be intimidated by the variable k -- the fact it's there changes nothing. You know how to compute areas, so compute the area of one of the portions.
 
  • #6
HallsofIvy
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What is the area of the region bounded by y= k, y= 9 and y= x2? For what value of k is that 18?

Even simpler: What is the area of the region bounded by y= 0, y= k and y= x2? For what value of k is that 18?
 

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