Question
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate anyasymptotes of the graph.$$x=e^{t}, \quad y=e^{2 t}$$
Step 1
We can do this by expressing t in terms of x and then substituting this into the equation for y. From the equation $x=e^{t}$, we can express t as $t=\ln{x}$. Show more…
Show all steps
Your feedback will help us improve your experience
Wen Zheng and 99 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $x=e^{t}, \quad y=e^{2 t}+1$
Parametric Equations and Polar Coordinates
Parametric Equations
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $$x=e^{-2 t}, \quad y=e^{3 t}$$
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $$x=\ln (2 t), \quad y=t^{2}$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD