(Fibonacci) The Fibonacci series
0, 1, 1, 2, 3, 5, 8, 13, 21, …
begins with the terms 0 and 1 and has the property that each succeeding term is the sum of the two preceding terms. a) Write a nonrecursive function fibonacci(n) that calculates the nth Fibonacci number. Use unsigned int for the function’s parameter and unsigned long long int for its return type. b) Determine the largest Fibonacci number that can be printed on your system.
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- (Please make sure to match the screenshot below in output) Rolling a single six-sided die produces a random number between 1 and 6 with a uniform distribution. Rolling two dice produces a number between 2 and 12 with a binomial distribution. In this lab you will simulate a number of dice rolls and graph the number of occurrences of each value. 1) Create a function called rollDie() that takes no parameters, and returns a random value between 1 and 6. Do not seed the random number generator in this function. int rollDie() 2) Create a function called initArray() that takes a data array and the size of the array as parameters and fills each element with the summed results of rolling two dice. Do not assume that the data array has been initialized. void initArray(int data[], int size) 3) Create a function called sortArray() that takes an array and the size of the array as parameters, and sorts the array using the sediment sort. void sortArray(int data[], int size) The sediment sort works…arrow_forward(Exponentiation) Write a function integerPower(base, exponent) that returns the value ofbaseexponentFor example, integerPower(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is a positive, nonzero integer, and base is an integer. Function integerPower should use for to control the calculation. Donot use any math library functions.arrow_forward(Statics) An annulus is a cylindrical rod with a hollow center, as shown in Figure 6.7. Its second moment of inertia is given by this formula: I4(r24r14) I is the second moment of inertia (m4). r2 is the outer radius (m). r1 is the inner radius (m). a. Using this formula, write a function called annulusMoment ( ) that accepts two double-precision numbers as parameters (one for the outer radius and one for the inner radius), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 5a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.arrow_forward
- (Statics) A beam’s second moment of inertia, also known as its area moment of inertia, is used to determine its resistance to bending and deflection. For a rectangular beam (see Figure 6.6), the second moment of inertia is given by this formula: Ibh3/12 I is the second moment of inertia (m4). b is the base (m). h is the height (m). a. Using this formula, write a function called beamMoment() that accepts two double- precision numbers as parameters (one for the base and one for the height), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 4a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.arrow_forward(Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 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 sand[s(sa)(sb)(sc)]. 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.arrow_forward(Algebra: solve 2 X 2 linear equations) You can use Cramer's rule to solve the following 2 x 2 system of linear equations: ed – bf af – ec y bc ax + by = e X = cx + dy = f ad ad – bc Write a function with the following header: void solveEquation(double a, double b, double c, double d, double e, double f, double& x, double& y, bool& isSolvable) If ad – bc is 0, the equation has no solution and isSolvable should be false. Write a program that prompts the user to enter a, b, c, d, e, and f and displays the result. If ad – bc is 0, report that "The equation has no solution." See Program- ming Exercise 3.3 for sample runs.arrow_forward
- Do fast i will give u like for surearrow_forward(python) Speed of Sound is a constant 343 m/s Create a function that will return the Frequency Heard based on the above equation. The function should accept the following parameters: speed of sound, velocity of receiver, velocity of source and frequency of source. Make sure to prompt the user for the input data and call the function. Example Values/Results: Frequency of Source: 935 HzVelocity of receiver: 24 m/sVelocity of source 43 m/sHeard frequency is 888.977 Hzarrow_forward(2) The ceiling of a floating-point number x is the smallest integer that is still larger than or equal to x. Alternatively, the ceiling of a floating-point number x is what you get when you round x up to the nearest integer. For example, the ceiling of 2.1 is 3, the ceiling of 0.9 is 1, the ceiling of -4.5 is -4, etc. Write a function called ceiling (number) to compute the ceiling of a floating-point number (input argument) and returns one integer value. You may not use python's ceil() or floor() functions. Your function may use int() and/or float() functions, and your solution must use the floor division operator (i.e., '//").arrow_forward
- (C++ language)arrow_forward(IN PYTHON) Problem 2 Write a function count_8s(string) that performs the following actions: Receives a single parameter called string that we expect to be a string. If we receive something that is NOT a string, raise a TypeError with the message “Non-string input received.” Uses recursion to count the number of eights in the string. Use a string of length 0 as your base case. Otherwise, determine if the first character in string is “8” or not, and call count_8s() again with the rest of the string as an argument. Returns the number of eights found in the string. NOTE: You are not to use a while or for loop in your code.arrow_forward(Python) Without giving me the code, can you give me some advice or tips on approaching this?arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology PtrC++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning