For each of the following scientific equations, describe its scientific domain and range, and check that the units agree on both sides of the equation.

a. Einstein’s equation that describes the equivalence of mass are.
and energy (E = mc2 ).

b. The equation for the kinetic energy of a body of mass m moving at speed v (Ek = 1 2mv 2 ).

c. The equation for the potential energy of a body of mass m at height h above the earth’s surface (Ep = mgh).

d. The Doppler equation for a stationary observer ( f = 
c c±vs 
f0).

e. The Drake equation (N = R∗ fpne fl fi fcL).

f. The Hadamard–Rybczynski equation (Wb = 2 3 R 2g(ρb−ρ0)
µ0 µ0+µb 2µ0+3µb ).
g. The van Deemter equation (HETP = A +
B u + Cu).