anonymous
  • anonymous
Hi all! Need serious Multivariable Calc help. Right now we're learning practical applications of double integrals: An annulus with inner radius r=1 and outer radius r=2 has density equal to delta(x,y)=3*(y+sqrt(x^2+y^2))/pi. Compute the mass of the annulus using polar coordinates. I get an answer, but I'm almost sure it's wrong.
MIT 18.02 Multivariable Calculus, Fall 2007
  • 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!
Vivek3461
  • Vivek3461
The transformation from Rectangular/Cartesian coordinate to Polar coordinate is given by the substitution x=r.cos (theta) and y = r.sin (theta), where x,y are from cartesian coordinate and r, theta are from polar coornidate. r - Radial distance from centre ( range of is from 1 to 2 for this problem ) Theta - angle measured counter-clockwise wrt positive x-axis ( 0 to 2.pi for this problem) So to find the mass find the following, |dw:1391528427817:dw| V is the volume. But for the given problem the annular portion's thickness information is not given. So kindly cross check the problem statement. Or else assume unit thickness and proceed. :-)

Looking for something else?

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