3. Figure 1 shows a uniform beam subjected to a linearly increasing load. The deflection of the beam, y(m), is depicted in Fig. 2.26b and can be computed from the equation y=120EILw0(x5+2L2x3L4x) where E= modulus of elasticity (N/m2) and I= moment of inertia (m4). Employ this equation and calculus to generate Python pylab plots of the following quantities versus distance along the beam, x. (a) deflection, y, (b) slope, (x)=dxdy (c) moment, M(x)=EIdx2d2y (d) shear, V(x)=EIdx3d3y (e) loading, w(x)=EIdx4d4y Use the following parameter settings for your computations: L=600cm,E=50,000kN/cm2,I=30,000cm2,w0= 2.5kN/cm, and x=10cm. Handle units of measurement with care, converting to the SI standard. Include conversions in your code. Include grid lines, axis labels, and titles on your plots. Figure 1