To rewrite the parametric equations x = e^3t and y = e^-t in rectangular form, we can eliminate the parameter t by using the exponent rules for multiplication and division.
Starting with x = e^3t, we know that e^3t can be rewritten as (e^3)^t. Similarly, e^-t can be rewritten as 1/e^t.
Therefore, x = e^3t can be rewritten as x = (e^3)^t, and y = e^-t can be rewritten as y = 1/e^t.
This gives us the rectangular form equations:
x = (e^3)^t
y = 1/e^t
Rewrite the following parametric equations in rectangular form.
x=e^3t
y=e^-t
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