What is the area between the curves

Question

anonymous · Answer

x = y^{2} - 9

anonymous · Answer

$$x = y^{2} - 9$$

anonymous · Answer

and

anonymous · Answer

$$x = -y^{2} + 9$$

anonymous · Answer

Hope someone can help me out!!

amistre64 · Answer

is there a bounds set or do we determine the bounds by the intersecting curves?

anonymous · Answer

no bounds set

amistre64 · Answer

without set bounds, we should assume that it is the intersection of the two curves

anonymous · Answer

correct

anonymous · Answer

I set the 2 equal to each other and set it equal to 0

amistre64 · Answer

it looks likethis :)

amistre64 · Answer

if we can find the area of half of one of them, we can just multiply by 4 to get the total

amistre64 · Answer

lets use y^2 - 9 since it is a difference of squares:

the roots are x=3 and x=-3

amistre64 · Answer

y=....yeah

amistre64 · Answer

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 · Answer

x^2 - 9 integrates up to (x^3/3) -9x

at 0 we get a value of zero so thats pointless; use 3

amistre64 · Answer

333
--- - 27
  3



9 - 27 = |-18|; one quareter of this is equal to 18

18*4 = 40 + 32 = 72

anonymous · Answer

Fantastic!!!  I did that  problem completely wrong!  Thank you again!!  Medal for you - hehe

amistre64 · Answer

should look like this :)

amistre64 · Answer

question is; am I right?  or does everything cancel to zero :)