Learning Guide Learning Guide

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