Here are the answers to your questions based on historical context:
Question 1
A) What was the purpose of the Roosevelt Corollary?
Answer: to discourage European nations from colonizing Latin America
Question 2
A) Why did Theodore Roosevelt think merely the threat of force was sufficient to achieve his foreign policy goals?
Answer: Recent military successes had established the U.S.'s ability to back up its threats.
Question 3
A) How did the Panama Canal benefit U.S. trade?
Answer: The canal gave U.S. cargo ships a safer, quicker route between the Atlantic and Pacific Oceans.
Question 4
A) Select the text that indicates the author's opinion of Theodore Roosevelt's foreign policies.
This question would require an excerpt from the mentioned article which is not provided, so I cannot answer it without seeing the text.
Question 5
A) Why was Theodore Roosevelt worried about Japan winning the Russo-Japanese War?
Answer: Japanese victory could limit American access to Chinese markets.
Feel free to provide the text from Question 4 if you need help responding to that question!