anonymous
  • anonymous
Evaluate the line integral f(x,y)ds along the parametric curve: f(x,y)=3x+4y^2;x=2t-1, y=t+5, -1(
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
amistre64
  • amistre64
\[ds =\sqrt{(x')^2+(y')^2}\]
amistre64
  • amistre64
well, in this case i spose fx and fy for partials
anonymous
  • anonymous
so i take the partial of both x and y with respect to t and plus that under a square root next to the function f(x,y) and integrate?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

amistre64
  • amistre64
yes, but dont forget to replace x and y with their t equations within f f(x,y)=3x+4y^2;x=2t-1, y=t+5 f(t)=3(2t-1)+4(t+5)^2
amistre64
  • amistre64
or am i mixing things up?
anonymous
  • anonymous
ds = |v(t)| dt
amistre64
  • amistre64
im mixing a vector feild in with this i believe
anonymous
  • anonymous
no i believe you are right, let me write it out real quick
anonymous
  • anonymous
you're fine @amistre64
anonymous
  • anonymous
so i would just get a sqrt(5) from the ds, then the function would read integral of (3(2t-1)+4(t+5)^2)dt (times the sqrt(5))?
amistre64
  • amistre64
..... thnx ;)
amistre64
  • amistre64
yep, but put the sqrt5 inside the integral
anonymous
  • anonymous
yes correct, @razroz
anonymous
  • anonymous
thank you so much
amistre64
  • amistre64
good luck ;)

Looking for something else?

Not the answer you are looking for? Search for more explanations.