1) Robert Fulton’s invention of the steamboat gives him a prominent place in the history of transportation. Here the prepositional phrases are: "of the seamboat" "in the history" and "of transportation"
2)Robert Fulton was born in 1765 in Lancaster County, Pennsylvania.no adjective prepositional phrase here!
3) Robert Fulton sailed on the Seine River in a small paddle wheel boat. no adjective prepositional phrase here!
4) In 1807, the steamboat Clermont traveled from New York City to Albany in 32 hours. no adjective prepositional phrase here either!
Answer: Determined not to let my knees tremble, I forced myself up the steps to the room where I had been directed.
Explanation: This is late but hope it helps someone
E2020
D. <span>The Grand Canyon was carved by the Colorado River in the state of Arizona; the steep-sided canyon is 277 miles long.
Because it uses a semicolon properly - it consists of two sentences which can stand independently, but the full stop is replaced by the semicolon so now they are together :D</span>