a) Design a function Goldbach( ) in text-code format thatakes an even integer n, and finds a way of writing it as a sum of two primes. {Hint: Consider every way to write n as a sum of the form x + (n - x), and use a built-in function to test whether x and n -x are both prime}. b) Show that every even number between 2 and 100 can be written as the sum of two primes.

a) Design a function Goldbach( ) in text-code format thatakes an even integer n, and finds a way of writing it as a sum of two primes. {Hint: Consider every way to write n as a sum of the form x + (n - x), and use a built-in function to test whether x and n -x are both prime}. b) Show that every even number between 2 and 100 can be written as the sum of two primes.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section6.1: Function And Parameter Declarations

Problem 3E

See similar textbooks

Similar questions

could you help me solve this and explain what each step does. Write a C function to calculate and return the factorial value of any positive integer as an argument. Then call this function from main() and print the results for the following input values: 2, 3,4, 5, 10, 15 What is the maximum value of an integer for which factorial can be calculated correctly on a machine using your algorithm?
Question 1 This question deals with multiplying a 2 X 3 matrix by a 3 X 2 matrix. Your job is to input matrix A, followed by matrix B, then produce matrix C which is the product of A and B. At run time, please use the following for matrix A 1 2 3 4 5 6 followed by the following data for matrix B: 6 5 4 3 2 1 Your program should input the values for A and B in function main, then call a function matrix_mult to produce matrix C which consists of the product of A and B. Please use the following for naming your variables: Ar1c1, Ar1c2, Ar1c3. ..., where Ar1c1 refers to row 1, column 1 of matrix A, etc. (There will be a lot of variables). Do not use arrays to solve this problem.
Instructions Consider the provided C++ code in the main.cpp file: The function func2 has three parameters of type int, int, and double, say a, b, and c, respectively. Write the definition of func2 so that its action is as follows: Prompt the user to input two integers and store the numbers in a and b, respectively. If both of the numbers are nonzero: If a >= b, the value assigned to c is a to the power b, that is, aᵇ. If a < b, the value assigned to c is b to the power a, that is, bᵃ. If a is nonzero and b is zero, the value assigned to c is the square root of the absolute value of a. If b is nonzero and a is zero, the value assigned to c is the square root of the absolute value of b. Otherwise, the value assigned to c is 0. The values of a, b, and c are passed back to the calling environment. After completing the definition of the func2 and writing its function prototype, run your program. Code Given: #include <iostream> #include <cmath> #include <iomanip>…
(Practice) For the following function headers, determine the number, type, and order(sequence) of the values that must be passed to the function: a. void factorial(int n) b. void volts(int res, double induct, double cap) c. void power(int type, double induct, double cap) d. void flag(char type, double current, double time) e. void total(double amount, double rate) f. void roi(int a, int b, char c, char d, double e, double f) g. void getVal(int item, int iter, char decflag, char delim)
(Practice) For the following function headers, determine the number, type, and order (sequence) of values that should be passed to the function when it’s called and the data type of the value the function returns: a. int factorial(int n) b. double volts(int res, double induct, double cap) c. double power(int type, double induct, double cap) d. char flag(char type, float current, float time) e. int total(float amount, float rate) f. float roi(int a, int b, char c, char d, float e, float f) g. void getVal(int item, int iter, char decflag, char delim)
Please provide solution in C++: Write a function MaxMagnitude with two input parameters, that returns the largest-magnitude value. If the inputs are 5 7, the function returns 7. If the inputs are -8 -2, the function returns -8. (Note: The function does not just return the largest value, which for -8 -2 would be -2). Though not necessary, you may use the absolute-value built-in math function. Use the function in a program that takes two integer inputs, and outputs the largest-magnitude value. #include <iostream>using namespace std; int main() { //int MaxMagnitude; int userVal1; int userVal2; { if(abs(userVal1)>abs(userVal2)) return userVal1; else return userVal2; }
4. Using c++ Write a function isPrime that accepts a positive long num and returns true IFF num is prime (e.g. only divisible by 1 and itself).
6. use c ++ to Write a function sumDigits, that accepts a positive integer n and returns the sum of the digits in that integer; thus, sumDigits(34) would return 7 (e.g., 3+4). Use the techniques from the roman numeral problem to extract the digits.
Write a c++ function to find gcd of two numbers. Int gcd(int a,int b) Function must contain single line of code.
Please Solve this Question using C++99 Version of C plus. Problem 1 (Numerical Differentiation) The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time Altitude 0 400 10 20 9200 30 40 45640 50 87370 60 70 80 90 100 160100 62070 97360 103430 127900 149630 23840 a) Use the skeleton program below. Write a function (CENTRAL) to numerically compute the velocity from the table above using the central difference scheme. Use equation (18) in the lecture note (14-Numerical Differentiation.pdf) at t=100 and use the equation below at t = 0. Make sure that you attach example runs showing the results from the computer. f(x)~ 4 f(x+h) -f(x+2h) -3 f(x) 2 h b) In the same program, write two functions (FORWARD and BACKWARD) to compute the velocity using the forward and backward difference scheme. c) Output your results in a table comparing the velocity using the…
PRogram - python Define a function named z and have it take 3 arguments: score , mu (sample mean) , sigma (standard deviation).. Return the calculated z-score. Use your z function on this data to show it works: You have a test score of 190. The test has a mean (μ) of 150 and a standard deviation (σ) of 25. Now define a function named std_error and have it take 2 arguments: sigma (standard deviation) , and n. Return the calculated standard error Use your std_error function (you can assume a sample size of 10) Print the answer rounded to the 2nd decimal place. (you can look up these formulas online) Zscore formula https://www.simplypsychology.org/z-score.html#:~:text=How%20do%20you%20calculate%20the,by%20the%20population%20standard%20deviation. Standard error formula https://toptipbio.com/standard-error-formula/ https://www.statisticshowto.com/probability-and-statistics/z-score/
Write a C++ function to find nth term of sequence given below, n is passed as argument to the function and function prints the nth term in output. Sequence: 1,4,9,16,25,........n2