- #1
csnsc14320
- 57
- 1
Homework Statement
Use Green's theorem to compute the area of one petal of the 28-leafed rose defined by [tex]r = 5sin(14 \theta)[/tex]
Homework Equations
[tex] A = \frac{1}{2} \int_c{x dy - y dx}[/tex]
[tex]\int \int_c{M_x + N_y}dx dy[/tex]
The Attempt at a Solution
I'm really more confused about just what to do outright. Green's theorem tells me that I can take the integral in that area formula and compute the double integral of the divergence of a vector field F = <M(x,y),N(x,y)>, but I have no idea how that helps me since I don't see any vector field here and I don't know the components N and M.
I think maybe I need to turn the expression [tex]r = 5sin(14 \theta)[/tex] into cartesian coordinates, but not really seeing what to do from here.
theres just too many equalities in greens theorem >:(