Comparison between determined using the deprojected Sérsic model α(n) and the self-gravitating exponential disk α_{self − grav} (as shown in Fig. 9), for a range of Sérsic indices n, intrinsic axis ratios q₀, and velocity dispersions σ₀. For all cases, we consider a single deprojected Sérsic mass distribution with M_tot = 10^10.5 M_⊙. The columns show curves for n = 0.5, 1, 2, 4 (left to right, respectively), while the rows show the case of spherical (q₀ = 1; top) and flattened (q₀ = 0.2; bottom) Sérsic distributions. For each panel, the solid black line shows the circular velocity v_circ (determined following Eq. (5)). The colored lines show v_rot determined using α(n) (dashed) and α_{self − grav} (dotted), with the colors denoting σ₀ = [30, 60, 90] km s⁻¹ (purple, turquoise, orange, respectively). As expected by the α(R) trends shown in Fig. 9, for n ≥ 1, we see that for most radii, the pressure support implied by α_{self − grav} results in lower v_rot than for α(n) (although at the smallest radii, the inverse holds). In some cases, the magnitude of σ₀ combined with the form of α(R) additionally predict disk truncation within the range shown, although truncation generally occurs at smaller radii for α_{self − grav} than for α(n).