“The dangers are great. Make no mistake about it. Behind the North Koreans and Chinese Communists in the front lines stand additional millions of Chinese soldiers. And behind the Chinese stand the tanks, the planes, the submarines, the soldiers, and the scheming rulers of the Soviet Union. Our aim is to avoid the spread of the conflict.The course we have been following is the one best calculated to avoid an all-out war. It is the course consistent with our obligation to do all we can to maintain international peace and security. ..If the Communist authorities realize that they cannot defeat us in Korea, if they realize it would be foolhardy to widen the hostilities beyond Korea, then they may recognize the folly of continuing their aggression. A peaceful settlement may then be possible. The door is always open….”                                           –Harry S. Truman, 1951The doctrine articulated by President Truman in the above speech is:

You must show your work to receive full or partial credits – no work, no credit. 11-A (12 points) Consider the initial value problem                                   

1. Consider the differential equation  

You must show your work to receive full or partial credit – no work, no credit. 11-A (12 points) Consider the initial value problem                                   

(6 points for the correct answer. 1 bonus point if you have correctly answered 8 questions among questions 1 through 9.) Consider the differential equation below:             

1. Assume that  and  are any two solutions of the differential equation:          

mc005-1.jpg What does the sticker in this illustration represent to patrons of this bank?

* Broken Code* 228 Planes Destroyed* 4 Aircraft Carriers Sunk* Turning Point in the PacificThe items above describe which of the following events?

(6 points for the correct answer. 1 bonus point if you have correctly answered 8 questions among Questions 1 through 8 and Question 10.) Consider the following first-order autonomous equation                        

mc049-1.jpg The construction of tract-housing suburbs such as the one shown above was a response to the growth of the U.S. population immediately following–