For the tapered bar shown in Figure P3–60 with cross sectional areas A1 = 2 in.2 and A2...

For the tapered bar shown in Figure P3–60 with cross sectional areas A₁ = 2 in.² and A₂ = 1 in.2 at each end, use the collocation, subdomain, least squares, and Galerkin’s methods to obtain the displacement in the bar. Compare these weighted residual solutions to the exact solution. Choose a cubic polynomial u(x) = c₁x + c₂x² + c₃x³.