A uniform beam is fixed on both end x = 0 and x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. W a. y( x) = [x4- 4LX3 +6L2x2 ] 24E b. y( x ) = W [x4- 2LX3 + 12 x 2] 24EI c. V(x) = W [x4-2LX3 + 13x] 24EI d. y( x ) = W [2 x4 - 5LX3 + 312x 2 ] 24EI e. y(x) = W [2 x4-313x3 + 312x 2] 24EI O a Ob O c O d OEFind the La Place transform of the function f(t) = t cost S a. S>0 ( 52 + 1 ) $2 + 1 b . S >0 ( 5 2 + 1 ) 2 2s - 1 C. S >0 ( 5 2 + 1 ) 2 52 - 1 d. S > 0 (52 + 1) 2 O a Ob O c Od