Could anyone guide me on how to plot the function VR with the values of ρ that I get from solving the following eq.
eq = (2 - 7 a) + (1 - ρ)^(-1 - b) ρ (2 - 2 ρ + b ρ) == 0;
I'm trying to first plot the above function and based on the value of ρ I want to plot VR function which is:
10 (10 a*ρ + ρ (-2 - 3 a - 2 (1 - ρ^(-b) ρ))
for plotting the eq I'm doing the following
0<=a<=1 ; 0 <= ρ <= 1; 0 <= b <= 3
eq = (2 - 7 a) + (1 - ρ)^(-1 - b) ρ (2 - 2 ρ + b ρ) == 0;
soln = First@ Solve[eq, a];
Show[ParametricPlot3D[{a /. soln, b, ρ}, {b, 0, 3}, {ρ, 0, 1},
PlotRange -> {{0, 1}, {0, 3}, {0, 1}},
AxesLabel -> (Style[#, 16] & /@ {"a", "b", "ρ"})],
ParametricPlot3D[{a, b, 0}, {a, 0, 2/7}, {b, 0, 3}]]
However, i dont know how to plot VR based on the values of ρ
Thanks