A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Evaluate the line integral 5ydx+2xdy where C is the straight line path from (4,4) to (7,8)
anonymous
 3 years ago
Evaluate the line integral 5ydx+2xdy where C is the straight line path from (4,4) to (7,8)

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I got 276 but was wrong

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int_C (5y~dx+2x~dy)\] The line connecting (4,4) and (7,8) is \(y=\dfrac{4}{3}x\dfrac{4}{3}\) Parameterize \(C\) by \[\begin{cases}x=t\\ \\ y=\dfrac{4}{3}t\dfrac{4}{3}\\ \\ 4<t<7 \end{cases}\] So you have \(dx=dt\) and \(dy=\dfrac{4}{3}dt\): \[\int_4^7 \bigg[5\left(\dfrac{4}{3}t\dfrac{4}{3}\right)~dt+2t~\left(\dfrac{4}{3}dt\right)\bigg]\\ \int_4^7\bigg[\frac{28}{3}t\frac{20}{3}\bigg]~dt\\ ~~~~~~~~~~~~~~~~\vdots\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yep: http://www.wolframalpha.com/input/?i=Integrate%5B%2828%2F3%29*t%2820%2F3%29%2C%7Bt%2C4%2C7%7D%5D Can't guarantee that's the right answer, but that's what my method is getting, so I'm sticking with it.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0when i did it by hand, i ended up getting 288

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Could you show your work? It might be a mistake in the integration, or the parameterization.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well what did you do when you tried it? How did you parameterize \(C\)?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no i integrated wrong! the answer is indeed 134
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.