If F1(A, B, C, D) = Sum(0, 1, 3, 8, 9, 14, 15) and d=Sum(4, 5, 11, 12, 13), the F1 =
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- Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…A B C D X1 a1 b1 c3 L X2 a2 b1 c1 L X3 a2 b2 c1 H X4 a2 b2 c2 H X5 a2 b1 c1 L X6 a2 b2 c1 H X7 a2 b1 c2 H X8 a1 b2 c2 L Using the table above, calculate the following, there measures (1) Cosine. a) A1 ==> L b) A2, B2 ==> H c) A2, C2 ==> HQl: The Collatz conjecture function is defined for a positive integer m as follows. (COO1) g(m) = 3m+1 if m is odd = m/2 if m is even =1 if m=1 The repeated application of the Collatz conjecture function, as follows: g(n), g(g(n)), g(g(g(n))), ... e.g. If m=17, the sequence is 1. g(17) = 52 2. g(52) = 26 3. g(26) = 13 4. g(13) = 40 5. g(40) = 20 6. g(20) = 10 7. g(10) = 5 8. g(5) = 16 9. g(16) = 8 10. g(8) = 4 11. g(4) = 2 12. g(2) = 1 Thus if m=17, apply the function 12 times in order to reach m=1. Use Recursive Function.
- Interest on a credit card’s unpaid balance is calculated using the average daily balance. Suppose that netBalance is the balance shown in the bill, payment is the payment made, d1 is the number of days in the billing cycle, and d2 is the number of days payment is made before billing cycle. Then, the average daily balance is: averageDailyBalance =netBalance x d1-payment x d2d1 If the interest rate per month is, say, 0.0152, then the interest on the unpaid balance is: Interest= averageDailyBalance * 0.0152 Write a program using c++ compiler that accepts as inputnetBalance, payment, d1,d2, and interest rate per month. The program outputs the interest. Format your output to two decimal places.14. If A = 1 -2 3 and В 1 -2 4 -4 2 5 3 5 1 2 4 Find AB and BA.-A laboratory test was performed to obtain the change of concentration with time. Test results are shown on the table. The student noticed that one datum at t=20s is missing. Concentration Time (s) (mg/L) 194 - Use interp1() function to predict the missing value using different methods: 10 246 15 369 >linear 25 384 > cubic > spline • Plot the results on the same figure. 30 271 40 24
- Q5. Below is the code for power function that computes x". Write the recurrence relation for this function. Solve the recurrence relation using master method (for dividing functions) long power(int x, int n) { if(n==0) return 1; if(x=0) return 0; if(n 1) return x; if(n%2 = 0) // n is even else } return power(x*x, n/2); return x * power(x*x, n/2);Find the minimum product of sums for the following function. Each drop down menu has a number of choices. You must select an answer from each drop down menu. The choices include possible terms in the function. Another choice is "none", and should be used when none of the terms from that drop down menu are needed for the minimum solution. Finally, the choice "two or more" should be selected if more than one of the possible terms appearing in that drop down menu are required for the solution. There are too many possible 3 and 4 literal terms for automatic checking, so just select how many of them are required. f(a,b,c,d) = m(0, 1, 2, 4, 5, 6, 12, 13) + Σd(8, 14) Terms involving a and b: [Select] Terms involving a and c: [Select] Terms involving a and d: [Select] Terms involving b and c: [Select] Terms involving b and d: [Select] Terms involving c and d: [Select] Terms involving 3 literals: [Select] Terms involving 4 literals: [Select] > >Assignment Write a program that calculates the revenue of a trip of a train composed of several train-cars. For the train, the user will give the total allowed train- car count (int), total allowed weight (double), and base speed (double). Then, the user will give train-car information for ALL train-cars that will TRY TO BE ADDED to the train. First, the number of train-cars will be given (int). For each train-car, three information will be given: type of the cargo (std:string), weight of the train-car (double), and how full the train-car is (int). After getting all this information, the program will TRY TO ADD each train-car to the train according to the train-car count and total allowed weight values. You CANNOT ADD a train-car to a train if it exceeds its train-car count. You CANNOT ADD a train-car to a train if by adding this train-car, the total weight of the train exceeds the train's total allowed weight. Each added train-car reduces the speed of the train by half its weight.…
