Question

Find the curves where x intersect.

Answer 1

\[y = x^3, x = y^3\]

Answer 2

i bet 0 works

Answer 3

and two more i think

Answer 4

Yea, I am setting up an integral from a to b, but no clue on where the curves intersect at. So, 0 works.

Answer 5

1 too right?

Answer 6

and also -1

Answer 7

yea 0 to 1, but how do I know what values to stop at?

Answer 8

i don't knowwhat you mean
also it is not clear what the question is asking
but the curves intersect at \((-1,-1),(0,0),(1,1)\) from your eyeballs

Answer 9

here is a nice picture of both
http://www.wolframalpha.com/input/?i=x%3Dy^3,+y%3Dx^3

Answer 10

Is there a way to know where these curves intersect at, algebraically?

Answer 11

set them equal

Answer 12

\[x^3=x^{1/3}\] Like that?

Answer 13

sure or \[x=x^6\]

Answer 14

oh wait that doesn't give the -1 solution does it ?