The deflection of a uniform beam subject to a linearly increasing distributed load can be...

The deflection of a uniform beam subject to a linearly increasing distributed load can be computed as

Given that L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm⁴, and w₀ = 2.5 kN/cm, determine the point of maximum deflection (a) graphically, (b) using the golden-section search until the approximate error falls below ε_s = 1% with initial guesses of x_l = 0 and x_u = L.