Let y be a piecewise function given by
y(r) =kr^2 − m, if r ≤ R;
−2kR^3 / r, if r > R
for some (k,m, r,R > 0) ∈ R. This function represents the gravitational potential of the Earth.
Find the values of k for which y is continuous at r = R.
any idea how to do this queation?
thank you!