Tuesday

September 16, 2014

September 16, 2014

Posted by **Mike** on Tuesday, May 4, 2010 at 12:18am.

x = e^t - 12

y = e^2t

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

- Curves defined by parameteric equations -
**Reiny**, Tuesday, May 4, 2010 at 7:22amfrom x = e^t - 12

e^t = x+12

t = ln(x+12)

form y = e^2t

2t = lny

t = (lny)/2

so (ln y)/2 = ln(x+12)

lny = 2ln(x+12)

lny = ln(x+12)^2

y = (x+12)^2

**Answer this Question**

**Related Questions**

calculus - I don't quite understand Cartesian equations. I am told to Eliminate ...

calculus - (a) Modifying the parametric equations of a unit circle, find ...

Calculus - I'm extremely confused on what to do in part a of this question. ...

MATH ASAP - Eliminate the parameter to find a cartesian equation x= 1-t^2 y=t-2...

calculus - Find an equation of the tangent(s) to the curve at a given point. ...

Math - This question makes reference to an orthonormal basis (i,j), and an ...

Calculus - For the parametric curve defined x=2t^3-12t^2-30t+9 and y=t^2-4t+6 .....

HS Calculus/math - x=2sint y=-3cost 0<[smaller and equal to] t <[larger ...

Math - Eliminate the parameter and write the corresponding rectangular equation ...

Math - Eliminate the parameter and write the corresponding rectangular equation ...