Write a Lambda or method references for each of the following tasks: a) Write a lambda expression that receives two double parameters a and b and returns their sum. Use the lambda form that explicitly lists the type of each parameter. b) Rewrite the lambda expression in Part (a) using the lambda form that does not list the type of each parameter. c) Rewrite the lambda expression in Part (b) using the lambda form that implicitly returns the value of the lambda’s body expression.

Show that there is a language a ⚆ {0, 1} â— with the following properties: 1. for all x â a, |x| ≤ 5. 2. no dfa with fewer than 9 states recognizes a. hint: you don’t have to define a explicitly; just show that it has to exist. count the number of languages satisfying (1) and the number of dfas satisfying (2), and argue that there aren’t enough dfas to recognize all those languages. to count the number of languages satisfying (1), think about writing down all the strings of length at most 5, and then to define such a language, you have to make a binary decision for each string about whether to include it in the language or not. how many ways are there to make these choices? to count the number of dfas satisfying (2), consider that a dfa behaves identically even if you rename all the states, so you can assume without loss of generality that any dfa with k states has the state set {q1, q2, . . , qk}. now think about how to count how many ways there are to choose the other four parts of the dfa.

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The total revenues for a company are $150,223 and the total expenses were 125,766. if you are calculating the net income, which of these spreadsheets would you use? insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2-b3. the formula should be showing in the formula bar. insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2+b3. the formula should be showing in the formula bar. insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2/b3. the formula should be showing in the formula bar. insert a spreadsheet with $150,223 in cell b2 and 125, 766 in cell b3. enter a formula =b2*b3. the formula should be showing in the formula bar.