Another Representing a curve with a vector valued function

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Another ...Representing a curve with a vector valued function

Homework Statement

Find the vector-valued function that represents the curve of intersection between the following surfaces:

1) z=y⁶ , x=z^1/3

2) z=e^x , x=y⁴

Homework Equations

The Attempt at a Solution

Attached my work

I don't have any answers for these so I'm hoping someone can check my work? It seemed almost too easy.

Answers I got

1) r(t)=ti+t^1/2j+t³k
2) r(t)=ti+t^1/4j+e^tk

 

[lanedance]

first one looks reasonable, but you might want to put some constraints on t, think about the allowable values of z for the first surface