State whether the following statements are true or false. If false, give a counterexample or state why. - a. VL1, L2(L1 = Lz iff L¡ = L;) • b. (ØUØ") n (ouø") = Ø . c. VL(|L] = |N| → |L| < |N]) • d. VL,,L2((L,L2)* = L¿L;) • e. VL,, L2((L, UL2)* = L¡ U L;) • f. VL(ØL+ = L') g. VL(L'Ø = L')
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- X3: inlTo10 Write a function in Java that implements the following logic: Given a number n, return true if n is in the range 1..10, inclusive. Unless "outsideMode" is true, in which case return true if the number is less or equal to 1, or greater or equal to 10.Х3: inlTol0 Write a function in Java that implements the following logic: Given a number n, return true if n is in the range 1..10, inclusive. Unless "outsideMode" is true, in which case return true if the number is less or equal to 1, or greater or equal to 10. Your Answer: 1 public boolean in1To10(int n, boolean outsideMode) 2 { 3 } H N M1)-Write a Java program that reads values for three sides of a triangle. The sides will form atriangle if the values are greater than zero and the sum of any two sides is greater than thethird side. The program should classify the triangle as either isosceles, scalene, equilateral, orboth right-angled and scalene according to the following rules:• An equilateral triangle has all sides equal• An isosceles triangle has only two sides equal• A scalene triangle has no sides equal• In a right-angled triangle, the square of the longest side must be equal to the sumof the squares of the other two sides. (i.e., if c is the longest side among sides a, band c of a right-angled triangle then c2 = a2 + b2). Here are some specific requirements:• Include a boolean method named checkTriangle, which accepts threedouble values as arguments and returns true if they form a triangle (otherwisereturns false)• Include a value returning method named getLongest, which accepts threedouble values as arguments…
- Let L = {dog, cat, fish), the correct statements are: The first 10 elements in L* in lexicographic order are cat, dog, fish, catcat, catdog, catfish, dogcat, dogdog, dogfish, fishcat. The first 10 elements in L* in lexicographic order are €, cat, dog, fish, catcat, catdog, catfish, dogcat, dogdog, dogfish. The first 10 elements in L* in lexicographic order are e, cat, dog, fish, catcat, catdog, catfish, dogcat, dogdog. dogfish. The first 10 elements in L* in lexicographic order are cat, dog, fish, catcat, catdog, catfish, dogcat, dogdog, dogfish, fishcat.The set in ( a) and in (a?)" (a)aaa (a?)'+( a)" (a )'aa +( a) aaaa Noneint f(int &k){k++;return k * 2;}int main(){int i = 1, j = -1;int a, b, c;a = f(i) + i/2;b = j + f(j) + f(j);c = 2 * f(j);return 0;} What are the values of a, b and c id the operands in the expressions are evaluated from left to right and then what are the values when its evaluated right to left?
- Write the following function to check whether a string is a palindrome assuming letters are case-insensitive: bool isPalindrome(const string& s) Write a test program that reads a string and displays whether it is a palindrome.The execution of SUB AL, BL is performed by O a. BIU O b. both EU and BIU O . EU O d. neither EU nor BIUSpecification: Read sentences from the user until * is entered. Show the number of words in each sentence that contain a stretch of non-z characters with exactly 2 vowels. A stretch starts from the start of the word or after a 'z'. A stretch terminates just before another 'z' or at the end of the word. Examples: 1. Matching words: zoo, azozooza, GONZALEZ 2. Non-matching words: ozo, azoooza The sentences contain no punctuation, the words are separated by one or more spaces, and the characters may be upper or lower case. Keep reading sentences until the user enters "*". Sample I/O: Sentence: azoooza azooza zoo azoo Matching words = 3 Sentence: GONZALEZ passes the ball to VAZQUEZ Matching words = 3 Sentence: azozototzeti Matching words = 1 Sentence: * Done
- a) Give an example of a string that is neither in the language of R nor in S. b) Give an example of a string that is in the language of S but not R. c) Give an example of a string that is in the language of R but not S. d) Give an example of a string that is in the language of R and S. e) Design a regular expression that accepts the language of all binary strings with no occurrences of 010.(Pettin", "Morris", "Jamil", "Wanis", "Tom", "Pattom"}.def winning_card(cards, trump=None): Playing cards are again represented as tuples of (rank,suit) as in the cardproblems.pylecture example program. In trick taking games such as whist or bridge, four players each play one card from their hand to the trick, committing to their play in clockwise order starting from the player who plays first into the trick. The winner of the trick is determined by the following rules:1. If one or more cards of the trump suit have been played to the trick, the trick is won by the highest ranking trump card, regardless of the other cards played.2. If no trump cards have been played to the trick, the trick is won by the highest card of the suit of the first card played to the trick. Cards of any other suits, regardless of their rank, are powerless to win that trick.3. Ace is the highest card in each suit.Note that the order in which the cards are played to the trick greatly affects the outcome of that trick, since the first card played in the trick…