6. Polynomialsa)Generate the elements of the field GF(24) using the irreducible polynomialf(x)= x²+ x³+1b)(6pt) Using the above results, calculate (x3+x2+1)* (x²+1)c) (6pt) Calculate (-x²+x)-1d)(6pt) Calculate (x+1)/(x³-1)

Answered: Image /qna-images/answer/0d260c5d-e600-4e5f-be75-57419ecb19a9.jpg

Answered: 6. Polynomials a) Generate the elements…

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 7SA

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(Practice) State whether the following are valid function names and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. powerdensity m1234 newamp 1234 abcd total tangent absval computed b34a 34ab volts$ a2B3 while minVal sine $sine cosine speed netdistance sum return stack
A(n) __________ contains 8 __________.
(Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this formula: W=Fd F is the force provided by the piston in Newtons. d is the distance the piston moves in meters. a. Determine the units of W by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for work listed in Table 1.1. b. Determine the work performed by a piston that provides a force of 1000 N over a distance of 15 centimeters.
(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.
A(n) __________ is an array of characters.
(Practice) Write a C++ program that adds equivalent elements of the two-dimensional arrays named first and second. Both arrays should have two rows and three columns. For example, element [1][2] of the resulting array should be the sum of first [1][2]andsecond[1][2]. The first and second arrays should be initialized as follows: first second 16 18 23 24 52 77 54 9111 16 19 59
(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data:
(Electrical eng.) a. An engineer has constructed a two-dimensional array of real numbers with three rows and five columns. This array currently contains test voltages of an amplifier. Write a C++ program that interactively inputs 15 array values, and then determines the total number of voltages in these ranges: less than 60, greater than or equal to 60 and less than 70, greater than or equal to 70 and less than 80, greater than or equal to 80 and less than 90, and greater than or equal to 90. b. Entering 15 voltages each time the program written for Exercise 7a runs is cumbersome. What method could be used for initializing the array during the testing phase? c. How might the program you wrote for Exercise 7a be modified to include the case of no voltage being present? That is, what voltage could be used to indicate an invalid voltage, and how would your program have to be modified to exclude counting such a voltage?
(Data processing) The answers to a true-false test are as follows: T T F F T. Given a twodimensional answer array, in which each row corresponds to the answers provided on one test, write a function that accepts the two-dimensional array and number of tests as parameters and returns a one-dimensional array containing the grades for each test. (Each question is worth 5 points, so the maximum possible grade is 25.) Test your function with the following data:
(Practice) Write array declarations, including initializers, for the following: a. A list of 10 integer voltages: 89, 75, 82, 93, 78, 95, 81, 88, 77, and 82 b. A list of five double-precision slopes: 11.62, 13.98, 18.45, 12.68, and 14.76 c. A list of 100 double-precision distances; the first six distances are 6.29, 6.95, 7.25, 7.35, 7.40, and 7.42 d. A list of 64 double-precision temperatures; the first 10 temperatures are 78.2, 69.6, 68.5, 83.9, 55.4, 67.0, 49.8, 58.3, 62.5, and 71.6 e. A list of 15 character codes; the first seven codes are f, j, m, q, t, w, and z
(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft
(Data processing) Construct a three-dimensional weather array for a two-week time period. Include this array in a C++ program that displays the temperatures correctly in response to any of the following user requests: • Any day’s high and low temperatures • Average high and low temperatures for a given month • Month and day with the highest temperature • Month and day with the lowest temperature

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6. Polynomials a) Generate the elements of the field GF(24) using the irreducible polynomial f(x)= x²+ x³+1 b)(6pt) Using the above results, calculate (x3+x2+1)* (x²+1) c) (6pt) Calculate (-x²+x)-1 d)(6pt) Calculate (x+1)/(x³-1)