anonymous
  • anonymous
What is the area between the curves
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
x = y^{2} - 9
anonymous
  • anonymous
\[x = y^{2} - 9\]
anonymous
  • anonymous
and

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anonymous
  • anonymous
\[x = -y^{2} + 9\]
anonymous
  • anonymous
Hope someone can help me out!!
amistre64
  • amistre64
is there a bounds set or do we determine the bounds by the intersecting curves?
anonymous
  • anonymous
no bounds set
amistre64
  • amistre64
without set bounds, we should assume that it is the intersection of the two curves
anonymous
  • anonymous
correct
anonymous
  • anonymous
I set the 2 equal to each other and set it equal to 0
amistre64
  • amistre64
it looks likethis :)
1 Attachment
amistre64
  • amistre64
if we can find the area of half of one of them, we can just multiply by 4 to get the total
amistre64
  • amistre64
lets use y^2 - 9 since it is a difference of squares: the roots are x=3 and x=-3
amistre64
  • amistre64
y=....yeah
amistre64
  • amistre64
so our bounds to find the area should be between 0 and 3; and we can equate this to x^2 - 9 and be none the worse
amistre64
  • amistre64
x^2 - 9 integrates up to (x^3/3) -9x at 0 we get a value of zero so thats pointless; use 3
amistre64
  • amistre64
333 --- - 27 3 9 - 27 = |-18|; one quareter of this is equal to 18 18*4 = 40 + 32 = 72
anonymous
  • anonymous
Fantastic!!! I did that problem completely wrong! Thank you again!! Medal for you - hehe
amistre64
  • amistre64
should look like this :)
1 Attachment
amistre64
  • amistre64
question is; am I right? or does everything cancel to zero :)

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