Question

write in rectangular eqaution

Answer 1

\[x = e^t\]
\[y=e ^{3t}+1\]

Answer 2

\[x=e^t~\Rightarrow~t=\ln x\]
Substituting into \(y\), you have
\[y=e^{3t}+1\\
y=e^{3\ln x}+1\\
y=\left(e^{\ln x}\right)^3+1\\
y=\cdots\]

Answer 3

3x+1?

Answer 4

\[\Large y=e ^{3t}+1 = (e^t)^3 +1 \]
Notice the thing in brackets looks a lot like... \[\Large x = e^t\]