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6 ft 4 ft 300 2x V = 0 0 x 6 6 ft 6–18 Draw the shear and moment diagrams for the beam, and determine the shear and moment throughout the beam as functions of x 2 kip/ft 8 kip x 10 kip 40 kip ft A 30 kip ft B 5 ft 5 ft 2 kip/ft 5 ft 6–194 1 SYSTEM OF FIRST ORDER DIFFERENTIAL EQUATIONS If xp(t) is a particular solution of the nonhomogeneous system, x(t) = B(t)x(t)b(t);1, if x ≤ a A simple computation yields E(X) = ab 2 Var(X) = (b−a)2 12 M(s) = esb −esa s(b−a) When a = 0 and b = 1, this is known as the uniform distribution over the unit interval, f(x) = 1 1

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