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a parametric equation problem

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Old Sep 7, 2005 | 04:25 PM
  #1  
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Default a parametric equation problem

ok here's the problem

You are given the following.

x=ln(t) y=sqrt(t)

*sqrt= square root

(a) Eliminate the parameter to find a Cartesian equation of the curve.

basically convert the given into a cartesian equation
answer should be in this form
y=________
this is my work so far...

e^x=eln(t)
e^x=t

substitute t into the y equation

y=sqrt(e^x)

it is incorrect...
i cant see why?
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Old Sep 7, 2005 | 04:35 PM
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Just be glad there is no z.
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Old Sep 7, 2005 | 04:59 PM
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It's correct.

Note that sqrt(e^x) = (e^x)^(1/2) = e^(x/2). Was this last formula what you were given as the correct answer?

Now I'm off to finish grading homework in my linear algebra and differential equations class.
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Old Sep 7, 2005 | 05:13 PM
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^ thats right forgot you can write it like that....
i appreciate it!!!
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Old Sep 7, 2005 | 05:17 PM
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De nada.
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