A community for students.
Here's the question you clicked on:
 0 viewing
jrodriguez2315
 3 years ago
Let C represent the curve generated by the position function r(t)=((t^2)2t, t+1,(t^2)+t2) for infinty<t<infinity. Is C a plane curve? Justify your answer analytically.
jrodriguez2315
 3 years ago
Let C represent the curve generated by the position function r(t)=((t^2)2t, t+1,(t^2)+t2) for infinty<t<infinity. Is C a plane curve? Justify your answer analytically.

This Question is Closed

JunkieJim
 3 years ago
Best ResponseYou've already chosen the best response.1is \[ \frac{d\overrightarrow{r}(t)}{dt}\]a constant or a function of t? let's find out. \[\frac{d\overrightarrow{r}(t)}{dt}= (\frac{dx}{dt} , \frac{dy}{dt} , \frac{dz}{dt})\] \[=(2t2 , 1 ,2t+t)\]which is still a function of t, so the slope of the curve is changing in the x direction and the z direction. because of this the curve cannot be a plane curve

JunkieJim
 3 years ago
Best ResponseYou've already chosen the best response.1woops, the z component of the derivative should be 2t + 1
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.