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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.Trigonometry: The basic MATLAB trigonometric functions are sin, cos, tan, cot, sec, and csc. The inverses, e.g., arcsin, arctan, etc., are cal- culated with asin, atan, etc. The same is true for hyperbolic functions. The inverse function at an2 takes two arguments, y and x, and gives the four- quadrant inverse tangent. The argument of these functions must be in radians. Calculate the following quantities: sin, cost, and tan. sin²+ cos². (Typing sin^2(x) for sin²x will produce an error). y cosh²z-sinh² x, with x = 32m.Where is the void function for circumference
- 6.Coding-----""Euler's totient function, also known as phi-function ϕ(n),counts the number of integers between 1 and n inclusive,which are coprime to n.(Two numbers are coprime if their greatest common divisor (GCD) equals 1)."""def euler_totient(n): """Euler's totient function or Phi function. Time Complexity: O(sqrt(n)).""" result = n for i in range(2, int(n ** 0.5) + 1): if n % i == 0: while n % i == 0: n //= i.9. a) Draw a DFA of strings where the 2nd last symbol is a. Σ= {a,b} Or, b) Draw a DFA of strings where the 3rd last symbol is 1. Σ= {0,1} [You may draw the NFA for this problem if you find it difficult to solve using DFA]Complete the whole code using the all function!.
- Find the error in the following code6.use c code to Develop a code that gets two integers from the user and calculates and prints their least common multiplier or LCM. LCM is the smallest number that divides both given integers. Example. lcm (10, 15) = 30, lcm (5,7) = 35 and lcm (12, 24) = 24Hint: we know that lcm(x,y) = xy/gcd(x,y) where gcd is the greatest common divisor (discussed in class). Develop a gcd function in your code, get the two numbers from the user, call your function to calculate their gcd and then use the formula above to calculate and display their lcm GOOD LUCK! Reference This is a list of function prototypes of the C library functions presented in class. You may use any of these functions in your solutions (unless the requirements explicitly indicate otherwise). As you have been provided the function prototypes, you are expected to use the functions correctly in your solutions. double atof(char *string); int atoi(char *string); long atol(char *string); int fclose(FILE *filePointer); char *fgets(char…computer science | c++ code | it's not graded. Correct answer will upvoted else downvoted. It is given a non-negative integer x, the decimal portrayal of which contains n digits. You need to shading every its digit in red or dark, so the number shaped by the red digits is separable by A, and the number framed by the dark digits is detachable by B. No less than one digit should be shaded in every one of two tones. Consider, the include of digits hued in red is r and the include of digits hued in dark is b. Among all potential colorings of the given number x, you need to output any to such an extent that the worth of |r−b| is the base conceivable. Note that the number x and the numbers shaped by digits of each tone, may contain driving zeros. Input :The principal line contains one integer t (1≤t≤10) — the number of experiments. Then, at that point, t experiments follow. Each experiment comprises of two lines. The main line contains three integers n, A, B (2≤n≤40, 1≤A,B≤40).…
- Need expression for "d" I already have expression for "g" Do asap. Please.[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…F(?,?,?)=?′?′?+?′??+??′?′+??′?can you simplify this and draw the diagram of the simplified function