You'll need the Jacobian for that. Something about ringing a bell?
You're just filling up a sphere.
is -- Oh, you do that one.
I have really no idea how to define the rho, theta, and phi limits for this question. Please help!!
Suppose that the density at a point in a gaseous spherical star is modeled by the formula
delta = deltasub0 times e^ -(rho/R)^3
where deltasub0 is a positive constant, R is the radius of the star, and rho is the distance from the point to the star's center . Find the mass of the star.
I have not yet learnt Jacobian.
Can you only use the idea of spherical coordinates to find the rho, phi, and theta ?
with the spherical coordinates ideas:
um, since it is a gaseous SPHERICAL STAR, i guess the theta should be from 0 to 2pi.
since R is the radius of the star, I guess rho is from 0 to R.
For phi, I am not sure. I know phi is restricted from 0 to pi.
I guess phi is from 0 to pi. (purely a guess! )
If you know the reason , please tell me why. Thank you very much.