The Boolean operator ⊕, called the XOR operator, is defined by 1 ⊕ 1 = 0, 1 ⊕ 0 = 1, 0 ⊕ 1 = 1, and 0 ⊕ 0 = 0. Show that x ⊕ y = y ⊕ x.

A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) = 35x - 0.25x². Using this model, what is the maximum profit the tour operator can expect?

A ferry operator takes tourists to an island. The operator carries an average of 500 people per day for a round-trip fare of $20. The operator estimates that for each$1 increase in fare, 20 fewer people will take the trip. What fare will maximize the number of people taking the ferry?

Is there an assignment of true/false values for the variables p, q, r, s, and t such that the formula $[(p \vee q) \wedge(\neg p \vee \neg r)] \rightarrow[(s \vee t) \wedge(\neg s \vee \neg t)]$ takes the value true? If so, find such an assignment. If not, explain why not.

Use the Law of Syllogism to write a third conditional statement. If Mark's pen runs out of ink, then he must get a new pen to finish his assignment. If Mark must get a new pen to finish his assignment, then he must go to the store.

An operator may be _______ to work with a specific class.

An operator may be __________ to work with a specific class.

Briefly describe how the && operator works.

(a) For an eight-state sequential circuit using three flip-flops, give three state assignments that assign 000 to $S_0$ and are equivalent to a straight binary assignment. (b) Give three state assignments that assign 111 to $S_0$ and are not equivalent to a straight binary assignment or to each other.

Refer to the Official Guidelines and fill in the blanks.
Assignment of the ________ character " ________ " for "indeterminate stage" should be based on the ________ documentation.

Briefly describe how the || operator works.

What is returned by the function that overloads the operator << for a class?

Accessing a single character out of a string is called: a) slicing b) concatenation c) assignment d) indexing

Insert an adjective clause to modify the noun or pronoun in italics.
Our first assignment,_____, was due on Tuesday.