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(3 points for the correct answer; 1 bonus point if you have correctly answered questions 1 through 3.) Determine the longest interval in which the given initial value problem is certain to have a unique twice-differentiable solution. (Do not attempt to find the solution.) 

Using network monitoring software, such as spiceworks,  to examine every packet that enters a network is called ________________.

A TLS Internet session indicating that data is being encrypted  is usually indicated by a ________ symbol in the corner of the screen.

Consider the statement     . Which of the following is the negation of the given statement?

Consider the statement: Being divisible by 2 is a necessary condition for being an even integer. Which of the following correctly express this statement in if-then form? (1) 

Consider the statement: Being divisible by 2 is a sufficient condition for being an even integer. Which of the following correctly express this statement in if-then form? (1)

(3 points for the correct answer. 1 bonus point if you have correctly answered questions 1 through 3.) Refer to the Tarski  world of figure below. Consider the statement: There exists a triangle y  such that for every square x, x and y have different colors. (1) Which is the negation of the given statement?  [a1] (2) Is the given statement true, or is its negation true? [a2] (3) Does the given statement have the same truth value as the statement “For every square x there is a triangle y such that x and y have different colors.” [a3]

(3 points for the correct answer. 1 bonus point if you have correctly answered questions 1 through 3.) Refer to the Tarski  world of figure below. Consider the statement: For every square x there is a triangle y such that x and y have different colors. (1) Which is the negation of the given statement?  [a1] (2) Is the given statement true, or is its negation true? [a2] (3) Does the given statement have the same truth value as the statement “There exists a triangle y  such that for every square x, x and y have different colors.”  [a3]

What was Tammany Hall? 

What is “gilded?”