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?
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?
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.
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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