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- GIVEN: E -> E – T | T T -> T+F | T*F | T/F | F F -> (E) | Int QUESTION : State the associativity of 4 operators??Write these statements using ^and, V or, ~not P---> Q P QGiven the following FSM M, the correct statements are: a so s s a a b 90 q1 OL(M) = {w€ {a, b}* : w contains the substring ab}. OL(M) = {w€ {a,b}* : w does not contain the substring ab}. OL(M) = {w€ {a,b}* : w does not contain the substring aab}. OL(M) = {w€ {a,b}* : w contains the substring aab}.
- Task 2: The formula for the area, A, of a triangle with sides of length a, b, and c is V[s(s – a)(s – b)(s – c)] A = Where (a + b + c) s = Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of s and [s(s - a)(s - b)(s - c)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A = -1. The value of A should be returned by the function. Test the function by passing various data to it and verifying the returned value.Write a function that sums all the numbers of the major diagonal in an nxn matrix of integers using the following header:def sumMajorDiagonal(m):The major diagonal is the diagonal that runs from the top left corner to the bottom right corner in the square matrix. Write a test program that reads a 4x4 matrix and displays the sum of all its elements on the major diagonal.Q1\A) A paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A + 16C + 4D, P2 = 80B + 20C, P3 = 30A + 10B + 60℃, p4 = 10A + 10B + 72C + 8D. The better colour say p5 is composed as follows: p5 = 40A + 27B + 31C + 2D. How much of the paints P1, P2, P3, and p4 should be used to make one gallon of p5. Hint: use (Ax=b). B) Write a MATLAB program to transform temperature from Fahrenheit to Celsius, if the temperature is (OF) and the formula is Celsius= (Fahrenheit-32)x5/9.
- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.def g11_3(N) :'''Assume that N is a positive integer.Returns the sum from 1 to N inclusive, but omitting the numbers that are of type series1, meaning omit numbers that can be written as 1 + 2 + 3 + 4 + ... + k for some positive integer k. Hint: write a boolean function that checks if an integer is of typeseries1. For example, the first few series1 numbers are 1, 3, 6, 10, ...So, g11_3(10) returns 35since the numbers to add are: 2, 4, 5, 7, 8, 9, where weare not using 1, 3, 6 and 10 because they are of type series1.'''pass# --------------------------------------------------------------# The Testing# --------------------------------------------------------------class myTests(unittest.TestCase):def test1(self):ans = g11_3(1)self.assertEqual(ans, 0)def test2(self):ans = g11_3(2)self.assertEqual(ans, 2)def test3(self):ans = g11_3(10)self.assertEqual(ans, 35)def test4(self):ans = g11_3(100)self.assertEqual(ans, 4595)def test5(self):ans = g11_3(1000)self.assertEqual(ans, 485320)if __name__…Q1\A) A paint company is trying to recycle unpopular paint colours by mixing them together to create better colours. All paints are composed of four pigments (A,B,C,D). The current paints are composed of pigments (in percent) according to the following equations: are p₁ = 80A + 16C + 4D, P280B + 20C, ps-30A + 10B + 60C, p. 10A + 10B + 72C + 8D. The better colour say ps is composed as follows: ps = 40A + 27B +31C + 2D. How much of the paints P₁, P2, P3, and p, should be used to make one gallon of ps. Hint: use (Ax-b).
- def square(x): return x * X def halve(x): return x // 2 def twice(f,x): """Apply f to the result of applying f to x >>> twice (square,3) 81 >>> twice (square, 4) 256 >>> twice (halve, 32) 8 >>> twice (halve, 80) 20 *** YOUR CODE HERE ***"Q3 (Q5, Section 2.3 in the Textbook): Order the following functions according to their order of growth (from the lowest to the highest): (n – 2)!, 5 lg(n + 100)1º, 2²", 0.001n“, 3n³ + 1, ln²n, Vñ, 3".CodeW X bFor fun X C Solved x b Answer + x https://codeworko... CodeWorkout X265: Recursion Programmlng Exercise: GCD The greatest common divisor (GCD) for a pair of numbers is the largest positive integer that divides both numbers without remainder. For function GCD , write the missing base case condition and action. This function will compute the greatest common divisor of x and y.You can assume that x and y are both positive integers and that x > y. Greatest common divisor is computed as follows: = x and GCD(x, y) = GCD(y, x % y). Examples: GCD (6, 4) -> 2 Your An swer: 1 public int GCD(int x, int y) { if > { 2. > 3. } else { 4. return GCD(y, x % y); 9. { 7. 1:09 AM 50°F Clear 1V 1. 12/4/2021 甲
