Q11/ A function f(t) is said to be even if: Oa) f(t) = f(-t) Ob) f(t) = -f(-t) Oc) f(t) # f(-t) %D Od) None of these
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Control structures
Control structures are block of statements that analyze the value of variables and determine the flow of execution based on those values. When a program is running, the CPU executes the code line by line. After sometime, the program reaches the point where it has to make a decision on whether it has to go to another part of the code or repeat execution of certain part of the code. These results affect the flow of the program's code and these are called control structures.
Switch Statement
The switch statement is a key feature that is used by the programmers a lot in the world of programming and coding, as well as in information technology in general. The switch statement is a selection control mechanism that allows the variable value to change the order of the individual statements in the software execution via search.
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- (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.True or False 1-int fx(char x) is a function with int return value 2-int fx(char &x) is a function with parameter passed by value 3-void fx(char ch) is a function with no return value 4-char fx( int x) is a function with int return valueProgramming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.
- Where is the void function for circumferencefunction [P, A] = rect(L, W) P= 2 (L+ W); A =L*W; end Above function is defined to find perimeter and area of a rectangle. If a rectangle has length 10 mm and width 7 mm then the correct way to get perimeter and area of a given rectangle by executing this function is Select one: a. [A, B] = rect(10, 7) b. rect(7, 10) c. [A, B] = rect(7, 10) d. rect(10, 7)Programming Language : R programming (R Studio) A twin prime is a prime that has a prime gap of two. Sometimes the term twin prime isused for a pair of twin primes. For example, the five twin prime pairs are (3, 5), (5, 7),(11, 13), (17, 19) and (29, 31). Write a function that returns the number of all twin primepairs between 1 and a given number n.
- Here, Python3 function sqr(n) that returns the square of its numeric parameter nC Program: An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 = 1 + 2 + 3. I have written a function called isPerfect (see below), that determines whether parameter passed to the function is a perfect number. Use this function in a C program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. // isPerfect returns true if value is perfect integer, // i.e., if value is equal to sum of its factors int isPerfect(int value) { int factorSum = 1; // current sum of factors // loop through possible factor values for (int i = 2; i <= value / 2; ++i) { // if i is factor if (value % i == 0) { factorSum += i; // add to sum } } // return true if value is equal to sum of factors if (factorSum == value) { return…Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…
- C Programming Problem : Write a C program with a function that takes an integer value (1 <- integer value < 9999) and returns the number with its digits reversed. For example, given the number 6798, the function should return 8976. Those two- original number and reversed number- numbers will pass to another function as parameters and calculate their sum. The program should use the function reverseDigits to reverse the digits and SumOriginalReverse to calculate their sum. Your output should appear in the following format: Output reverse digiS 4321 Main Enter a number between 1 and 9999: 6798 The number with its digits reversed is: 8976 6798 + 8976 - 15774 12.34 JomoriginalRevers Enter a number between I and 9999: 6655 The number with its digits reversed is: 5566 6655 + 5566 = 12221 Enter a number between 1 and 9999: 8 The number with its digits reversed is: 8 8 + 8 = 16 Enter a number between 1 and 9999: 123 The number with its digits reversed is: 321 123 + 321 = 444 Enter a number…REVERSED SUM OF ODD POSITIONS Write a function that takes an integer(n) as input and returns True if the sum of its digits at odd positions is even, and returns False of otherwise. Positions are counted from the least significant digit. stion For example: n = 2345 →> True Explanation: The digits at odd positions are 5 and 3, and their sum i.e. 8 is even. Examples: rev_sum of odd_pos(2345) - True - False rev_sum_of_odd_pos(5728) *Note: Please return your output. Don't print your answer inside the function. Your code will not get evaluated, if you are using 'print statement inside the function." Answer: (penalty regime: 0 %) Reset answer 1-def rev_sun of odd pos (n: int)-> bool: 2 merite your code from here e2.a Σ : {c,A,G,T}, L = { w : w = CAG™T™C, m = j + n }. For example, CAGTTC E L; CTAGTC ¢ L because the symbols are not in the order specified by the characteristic function; CAGTT ¢ L because it does not end with c; and CAGGTTC € L because the number of T's do not equal the number of A's plus the number of G's. Prove that L¢ RLs using the RL pumping theorem.