What are the endpoints for the curve $x=e^{0.05 t}, y=e^{t}, 0 \leq t \leq 1$ ? Mark both correct answers.
A) $(1,1)$
B) $(\sqrt[20]{e}, e)$
C) $(e, e)$
D) $(0,0)$

Question

Quizplus · Accepted Answer

The endpoints are found by plugging in the values of $t$ into the equations for $x$ and $y$. When $t=0$, $x=e^{0.05(0)}=1$ and $y=e^0=1$, so the starting point is $(1,1)$. When $t=1$, $x=e^{0.05(1)}=e^{0.05}$ and $y=e^1=e$, so the ending point is $(e^{0.05}, e)$.

What Are the Endpoints for the Curve x=e0.05t,y=et,0≤t≤1x=e^{0.05 t}, y=e^{t}, 0 \leq t \leq 1x=e0.05t,y=et,0≤t≤1

What Are the Endpoints for the Curve $x=e^{0.05 t}, y=e^{t}, 0 \leq t \leq 1$