- #1
wifi
- 115
- 1
Problem:
Use an appropraite parametrization [tex]x=f(r,\theta), y=g(r,\theta)[/tex] and the corresponding Jacobian such that [tex] dx \ dy \ =|J| dr \ d\theta[/tex] to find the area bounded by the curve [tex]x^{2/5}+y^{2/5}=a^{2/5}[/tex]
Attempt at a Solution:
I'm not really sure how to find the parametrization. Once I have that, calculating the Jacobian is simple. Then all that's left is computing a double integral. Right?
Use an appropraite parametrization [tex]x=f(r,\theta), y=g(r,\theta)[/tex] and the corresponding Jacobian such that [tex] dx \ dy \ =|J| dr \ d\theta[/tex] to find the area bounded by the curve [tex]x^{2/5}+y^{2/5}=a^{2/5}[/tex]
Attempt at a Solution:
I'm not really sure how to find the parametrization. Once I have that, calculating the Jacobian is simple. Then all that's left is computing a double integral. Right?