Which of the following is a duty of the president outlined in article ii of the constitution?
approve foreign treaties
oversee the courts and appeals process
coin and print currency
give yearly state of the union speech

approve foreign treaties is a duty of the president outlined in Article II of the Constitution.

Here is the part of Article II, Section 2:
"He shall have power, by and with the advice and consent of the Senate, to make treaties, provided two thirds of the Senators present concur; and he shall nominate, and by and with the advice and consent of the Senate, shall appoint ambassadors, other public ministers and consuls, judges of the Supreme Court, and all other officers of the United States, whose appointments are not herein otherwise provided for, and which shall be established by law:..." 

Andrei karlov was the russian ambassador