Learning Guide Learning Guide

236 • Chapter 6: Examples from Calculus{x 2 (t) = 1 2 (t2 k α + α k − 2 t k α − 2 α m√%1 (t − 1)+ 2 α cosh() m + t 2 k + k − 2 t k)α/mHeaviside(t − 1) ((1 + 2 α + α 2 ) k m)√%1 tα (−1 + cosh(− 2α m )), x 1 (t) =1 + α√%1 (t − 1)Heaviside(t − 1) cosh()−α mk (1 + α) 2√%1 tα cosh(− 2 α m ) √ √%1 t %1 t+ e (− α m ) + e ( α m ) + (1 + α1k Heaviside(t − 1) (1 + α) t22− k Heaviside(t − 1) (1 + α) t + 2 α 2 m k+ Heaviside(t − 1) m + 1 Heaviside(t − 1) α k2+ 2 α m k + 1 2 Heaviside(t − 1) k) /((1 + α) 2 k m)%1 := −α m k (1 + α)Evaluate the result at values for the constants.> ans := eval( %, {alpha=1/10, m=1, k=1} );}