Final answer:
The U.S. supported the Panamanian revolution by providing military assistance and quickly recognizing Panama's independence, actions motivated by economic imperialism to facilitate the construction of the Panama Canal.
Step-by-step explanation:
The U.S. provided military assistance to support the Panamanian revolution against Colombia, which falls under the category of economic imperialism. This support was pivotal for Panama’s success in securing independence. President Theodore Roosevelt deployed American warships to block Colombian forces from suppressing the revolution and these strategic maneuvers were a clear show of support. Additionally, the U.S. quickly offered diplomatic recognition to the new nation of Panama, further solidifying its commitment and its interest in constructing the Panama Canal.
The agreement with the new Panamanian government included terms for the canal’s construction, demonstrating the economic motives behind the U.S. intervention. By aiding the revolution, the U.S. acted on its strategic and economic interests in the region, exemplifying a blend of military strategy and economic imperialism.