The data for a summit vertical curve is given as below. Grade stakes are to be set at the PVC$,$ at the PVT$,$ and at half$-$station intervals along the curve. Find the sum of rate of change of grade Write your answer with six digits of decimal and in the normal format. For example: $0\mathrm{.}000069.$

PVI Station$=11+05\mathrm{.}52,$

PVI Elevation$=38\mathrm{.}54$ ft$,$

g$1=9\%,$

g$2=-5\%,$ &

L$=747$ ft