(A) ** The U.S encouraged a revolution
(B) They asked nicely
(C) ** The U.S sent a large warship to intimidate the controlling country
(D) They traded a part of Mexico to the controlling country
EXPLANATIONS BELOW
Concept note-1: -The United States established diplomatic relations with Panama in 1903 following its separation from Colombia. That year, through the Hay/Bunau-Varilla Treaty, Panama granted the United States rights to a zone spanning the country to build, administer, fortify, and defend an inter-oceanic canal.
Concept note-2: -President Roosevelt responded by dispatching U.S. warships to Panama City (on the Pacific) and Colón (on the Atlantic) in support of Panamanian independence. Colombian troops were unable to negotiate the jungles of the Darien Strait and Panama declared independence on November 3, 1903.
Concept note-3: -In response, President Theodore Roosevelt gave tacit approval to a rebellion by Panamanian nationalists, which began on November 3, 1903. To aid the rebels, the U.S.-administered railroad in Panama removed its trains from the northern terminus of Colón, thus stranding Colombian troops sent to crush the insurrection.