( ( Show ( that ( ( maximum ( population ( growth rate ) ) ) ( is ( at ( half ( the ( carrying capacity ) ) ) ) ) ) ) ) . )
(ROOT (S (VP (VB Show) (SBAR (IN that) (S (NP (JJ maximum) (NN population) (NN growth) (NN rate)) (VP (VBZ is) (PP (IN at) (NP (PDT half) (DT the) (NN carrying) (NN capacity))))))) (. .)))
Show that maximum population growth rate is at half the carrying capacity.
(ROOT (S (NP (NNP Growth)) (VP (VBZ stops) (SBAR (WHADVP (WRB when)) (S (NP (DT a) (NN population)) (VP (VBZ reaches) (NP (DT the) (VBG carrying) (NN capacity)))))) (. .)))
Growth stops when a population reaches the carrying capacity.