- #1

ILoveBaseball

- 30

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The following parametric equations trace out a loop

[tex] x = 8 - 3/2t^2[/tex]

[tex] y = -3/6t^3+3t+1[/tex]

1.) Find the [tex]t[/tex] values at which the curve intersects itself.

wouldn't i just have to solve for t for one of the equaltion to find t? also, can you find the intersects using a TI-83 plus to check your answer?

[tex] 8 - 3/2t^2=0[/tex]

[tex]3/2t^2=8[/tex]

[tex]t^2=16/3[/tex]

[tex]t = \pm\sqrt(16/3)[/tex] which is wrong

[tex] x = 8 - 3/2t^2[/tex]

[tex] y = -3/6t^3+3t+1[/tex]

1.) Find the [tex]t[/tex] values at which the curve intersects itself.

wouldn't i just have to solve for t for one of the equaltion to find t? also, can you find the intersects using a TI-83 plus to check your answer?

[tex] 8 - 3/2t^2=0[/tex]

[tex]3/2t^2=8[/tex]

[tex]t^2=16/3[/tex]

[tex]t = \pm\sqrt(16/3)[/tex] which is wrong

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