Consider the following two-dimensional Maxwellian distribution function:

(a) Verify that n₀ represents correctly the particle number density, that is, the number of particles per unit area.

(b) Sketch, in a three-dimensional perspective view, the surface for this distribution function, plotting f(v_x, v_y) in terms of v_x and v_y. Draw, on this surface, curves of constant v_x, curves of constant v_y, and curves of constant f.

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m = f (va,vy) = no(21KT) exp m(v2 + v2)1 2 T