Write a program to make a table of the physical properties for water in the range of temperatures from 273 to 323 K. The Density : d = 1200.92 – 1.0056 T + 0.001084 T^2 The conductivity: K= 0.34 + 9.278 * 10-4 T The Specific heat: CP = 0.015539 (T – 308.2)^2 +
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- In the example below, the sum of the fourth powers of each digit that forms the 4-digit numbers gives the number itself: 1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44 And sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all numbers that can be written as the sum of the fifth forces of their numbers. (P.s.: You have to done it by C++)C++ Programming Language: Enhance the code given by outputting: The largest number of the sequence a0 ,a1 ,a2 , ..., ak. The position of the largest number Test your program for the following values of x: 75, 111, 678, 732, 873, 2048, and 65535. Example: "For example, for the input sequence: 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1, the program output should contain the following: The largest number of the sequence is 340 The position of the largest number is 4" Code Given: #include <iostream> #include <iomanip> using namespace std; int main() { long x; int count; long a_n; cout << "Enter a nonnegative integer: "; cin >> x; cout << endl; count = 0; a_n = x; cout << a_n << ", "; while (a_n !=1) { if (a_n %2==0) a_n = a_n / 2; else a_n = 3 * a_n + 1; count++; cout << a_n <<", "; } cout << endl; cout << "The integer k such that a_k = 1 is " << count << endl; return0; }c++ Given two sequences with n integers between 0 and 9, interpreted as two n-digit integers, calculate a sequence of numbers that represents the sum of the two integers. Example: n = 8, 1st sequence 8 2 4 3 4 2 5 1 2nd sequence + 3 3 7 5 2 3 3 7 1 1 6 1 8 6 5 8 8
- Example 6-16 shows how to write a program to factor a polynomial of the form x² + bx + c, where b and c are integers. Modify the program so that it can also factor polynomials of the form ax2 + bx + c , where a, b, and c are integers. Note that the polynomial _ - 2x² - 3x + 2_ can be factored as: _ - 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)_.Consider the following sequence of equations involving Fibonacci numbers: 1 + 2 = 3 1 + 2 + 5 = 8 1 + 2 + 5 + 13 = 21 1 + 2 + 5 + 13 + 34 = 55 ⋮ Find the subscript that will make the following equation true. F1 + F3 + F5 + ⋯ + F21 = F21Write a code in C++: Write a program to factor a polynomial of the form x² + bx + c, where b and c are integers AND also modify the program so that it can also factor polynomials of the form ax2 + bx + c , where a, b, and c are integers. Note that the polynomial _ - 2x² - 3x + 2_ can be factored as: _ - 2x² - 3x + 2 = (-2x + 1)(x + 2) = - (2x - 1)(x + 2)_.
- 79. To find the decimal value of 1111, that is 15, we can use the function: a. int(1111,10) b. int(‘1111’,10) c. int(1111,2) d. int(‘1111’,2)in phython langauge: Write a program which reads the number of blocks the builders have,and outputs the height of the pyramids that can be built using these blocks.Assume that N is a positive integer.Returns the sum from 1 to N inclusive, but omitting the numbers that are of type series1, meaning omit numbers that can be written as 1 + 2 + 3 + 4 + ... + k for some positive integer k. Hint: write a boolean function that checks if an integer is of typeseries1. For example, the first few series1 numbers are 1, 3, 6, 10, ...So, g11_3(10) returns 35since the numbers to add are: 2, 4, 5, 7, 8, 9, where weare not using 1, 3, 6 and 10 because they are of type series1. answer in python
- Write a program, which takes a positive integer as input, and prints which powers of 2 does the numberlie between. For example, the number 269 lies between 28(256) and 29(512). If the input is 269, theoutput should be 8 9. Borderline cases which are powers of 2, such as 256, should be aligned to the lowerlimit of the desired range output, i.e. 28(256). You should not use math functions such as pow.The Research team led by Bernadette Wolowitz at Cal-tech University has discovered a new Amoeba that grows in the order of a Fibonacci series every month. They are exhibiting this amoeba in a national. conference. They want to know the size of the amoeba at a particular time instant. If a particular month's index is given, write a program to display the amoeba's size. For Example, the size of the amoeba on month 1, 2, 3, 4, 5, 6,... will be 0, 1, 1, 2, 3, 5, 8.... respectively.Given a number n, identify and print which in the given set of numbers are factors of n. Should there be no factors listed in the set of numbers, print "I'm alone". For example, given the number 36 and the set of numbers 2, 3, 5, 7, 12. Only print the numbers which are factors of 36, which are 2, 3, 12. Input The first line contains the number n; The second line contains how many numbers there are in the set of numbers; The third line contains the set of numbers. INPUT: 36 5 2·3·5·7·12 Output The set of numbers that are factors of n separated by a new line in order of appearance. If there are none, print "I'm alone" OUTPUT: 2 3 12