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, sub-domain, 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) = c1x2 + c3x3?
Figure P3-60

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A2 P= 1000 Ib E = 10 x 10° psi L= 20 in.