The relationship for the linear expansion of a solid, given by l-li + al s, is a valid approximation when aar is smal. laar is large, one must integrate the relationship d-a·87 to determine the final length. a) find a general expression for the firal length ly of a rod with an initial length її that unde its length vanes. (use the folong as necessary: l., and δη es a temperature change δ, assuming its coement ani esra pansiona is co stana, (b) the rod's initial length is 1.40 m, its temperature change is b0.0 c, and its a - 2.0010c)o typical value for a metal), what is the percent ermor caused by the approximation compared to the exact formula found in part (a)? (c) for the same length and temperature change as in part (b), what is the percent ermor caused by the approximation when 0,0200 c)-1 can unrealistically large value for comparison)?