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Solution: 1926. The Root Test Use the Root Test to determine whether the following

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs ISBN: 9780321947345 167

Solution for problem 23 Chapter 8.5

Calculus: Early Transcendentals | 2nd Edition

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Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Calculus: Early Transcendentals | 2nd Edition

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Problem 23

1926. The Root Test Use the Root Test to determine whether the following series converge. a _ k = 1 a k k + 1 b 2k2

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IR 350/HI 334 3/17/16 The Cuban Missile Crisis I. The Break between Havana and Washington A Cuban­American relations deteriorate­ economic warfare 1. 1959­1960 2. Castro nationalized all estates larger than 1,000 acres and redistributes small tracts to peasants and farm laborers 3. confiscation of US businesses and properties (2 billion dollars) 4. Eisenhower retaliates with economic sanctions (sugar quota) B Invasion Plans 1. c/o CIA 2. (1960­1961) 3. Ike and JFK 4. Brigade 2506 a) Cuban Emigre Army b) made to seem larger than they were 5. incite an anti­Castro rebellion C The Invasion Launched 1. April 17, 1961 2. 1,300 Cuban soldiers waiting for orders 3. The Bay of Pigs: body of water adjacent to south Zapata swamp on Cuba’s caribbean side 4. Castro watches from a tank on Playa Ciron, the plan fails 5. Kennedy erases American fingerprints from the invasion 6. all soldiers killed or captured 7. prisoners exchanged for tractors II. The Abortive Attempt to Overthrow Castro A Castro Triumphan t 1. November 1961 2. “Operation Mongoose” 3. CIA plan to “terminate with extreme prejudice” (assassinate) Castro B Some “Operation Mongoose Ideas” 1. untraceable poison in Castro’s cigars 2. booby­trapped seashell that would explode when Castro picked it up scuba diving 3. faulty wet suit with failing breathing apparatus C Castro Asks for Help 1. Late April ’62 2. Castro needs defense from a potential US attack 3. military assistance from Soviet allies 4. Castro & Khrushchev D The Soviet Missile Gap 1. 1962 2. Soviets behind the US in nuclear arms race 3. Soviet ICBM force was much smaller E The Cuban Solution 1. Late April 1962 2. Medium­range missiles to be placed on Cuba to put the U.S. within Soviet striking distance III. The Creation of a Soviet Protectorate A. Cuba: A Soviet Protectorate 1. July 1962 2. 150 Soviet ships sail for Cuba with disguised nuclear missiles and 40,000 troops to deter a US attack B. Soviet Deception 1. October 18, 1962 2. JFK and Gromyko meet 3. “defensive missiles only” C. What to do: General Curtis Lemay, Air Force Chief of Staff IV. Showdown in October: The American Blockade and the Soviet Response A Decision: Blockade 1. October 16, 1962 2. Kennedy & ExComm decide on “quarantine” (blockade) 3. no air strikes or invasion B US­Soviet Confrontation 1. October 1962 2. Rusk confronts Dobyrin with secret missile information 3. Khrushchev won’t back down 4. Cuba announces “Combat Alarm” 5. DEFCON 2 declared by Kennedy (DEFCON 1 is war) V. The Face Saving Deal A Khrushchev Telegraphs Kennedy 1. October 26,1962 2. Soviets remove missiles if US never invades Cuba 3. removing US missiles from Turkey 4. Soviets shoot down a U­2 B “Eyeball to eyeball. they blinked first…” 1. looks like Kennedy won 2. Castro is ENRAGED VI. The Short­Term and Long­Term Consequences of the Crisis A. Hot Line Agreement (1963) B. Limited Test Ban Theory (1963) C. Nuclear Non­Proliferation Theory (NPT) (1968, 1970) D. Cuba Secure from U.S. invasion

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Chapter 8.5, Problem 23 is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

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Solution: 1926. The Root Test Use the Root Test to determine whether the following