4) Trace the evaluation of the expressions and give the resulting values. (Make sure to give a value of the appropriate type, such as including a .0 at the end of a double) a) 8/5+17/2/3.0 ANSWER: = 1 + 8/3.0 = 1 + 2.0 = 1.2 b) 100.0/2/4 ANSWER: = 50.0/4 = 12.5 c) (12+6)/4*2 ANSWER: = 18/4 *2 = 4*2 = 8 5*7% 4+ "Hi” + 17 ANSWER: d)
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- Exercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…7) The ideal gas law allows the calculation of volume of a gas given the pressure(P), amount ofthe gas (n), and the temperature (T). The equation is:V = nRT / PSince we only have used integer arithmetic, all numbers will be integer values with nodecimal points. The constant R is 8.314 and will be specified as (8314/1000). This givesthe same result. Implement the idea gas law program where the user is prompted for andenters values for n, T, and P, and V is calculated and printed out. Be careful toimplement an accurate version of this program. Your program should include a properand useful prompt for input, and print the results in a meaningful mannerc++ Write a program to use enumeration type to represent the seven colors of the rainbow, i.e. red, orange, yellow, green, blue, indigo and violet, as the enumerators in sequence, and red starts from 1. Then, ask the user to choose a value between the range of 1 – 7. If the user enters 3, the output will tell the user yellow has been chosen, and also display the previous and next colors of the chosen colors. If the user enters 1 or 7, display the chosen color and only next/previous color is displayed accordingly. Write the program in an infinite while loop, until a number which is beyond the range of 1 – 7 is entered. The sample output is as follows, Enter a number in the sequence of the rainbow color (1-7): 7 Violet is chosen. The previous color is indigo. Enter a number in the sequence of the rainbow color (1-7): 1 Red color is chosen. The next color is orange. Enter a number in the sequence of the rainbow color (1-7): 3Yellow is chosen. The previous color is orange and next…
- 10) Write a program that translates a letter grade into a number grade. Letter grades are A, B, C, D, and F, possibly followed by + or -. Their numeric values are 4, 3, 2, 1, and 0. There is no F+ or F-. The symbol + increases the numeric value by 0.3, and the symbol - decreases it by 0.3. For example: Enter a letter grade: B- The numeric value of B- is 2.7.in Swift Programming: The Big Nerd Ranch Guide (2nd Ed.) e-book: Repeat the silver challenge, but this time make sure that the formatting above matches what you print to the console. You may need to search the documentation for how to represent special characters in String literals (e.g., how do you represent a newline in a String?). You will also want to look at the documentation for the print() function to use a new parameter called terminator. This parameter defaults to printing a new line after each String logged to the console, but you will want to do something else. There are many ways to solve this challenge, but one way would be to print a String with a certain number of empty spaces (it is up to you to figure out how many!) when you print specific zip codes.io/courses/1443/quizzes/4601/take/questions/74256 Study the definition of the following two functions "Rate" and "Bonus" and answer the question below. int Rate (int one, int two) { int R = one; for (int i = 0; i 20) num2 num1 * 20 +R; %3D else numl = num2 * 10 + R; return num1 + num2; What is the output of the following code segment? cout << Bonus (3, 5); a hp 近
- Please Explain the Steps. (In Java Programming) See expected output below. Create a new Java application called "WeightedAvgDropSmallest" (without the quotation marks) according to the following guidelines. The program prompts the user for five to ten numbers all on one line, separated by spaces, calculates the weighted average of all those numbers except the lowest n numbers, where n and the weight are also given by the user, and displays all the numbers, the weight, the number of lowest numbers dropped, and the calculated average to the user. The program uses methods to: Get the numbers used to calculate the average. Get the number of lowest numbers to drop before calculating the average. Get the weight, a double greater than 0 and less than or equal to 1. Calculate the weighted average of the numbers (except the lowest n numbers) entered by the user. Print the results. 1. The first method should take no arguments and return an array list of doubles. 2. The second method…LANGUAGE:JAVA Code the program that converts uppercase letters to lowercase and lowercase letters to uppercase of a word with amaximum length of 25 characters entered from the keyboard. (After the character library functions are explained)Write code to complete DoublePennies()'s base case. Sample output for below program:Number of pennies after 10 days: 1024 Note: These activities may test code with different test values. This activity will perform three tests, with startingPennies = 1 and userDays = 10, then with startingPennies = 1 and userDays = 40, then with startingPennies = 1 and userDays = 1. #include <iostream>using namespace std; // Returns number of pennies if pennies are doubled numDays timeslong long DoublePennies(long long numPennies, int numDays){long long totalPennies; /* Your solution goes here */ else {totalPennies = DoublePennies((numPennies * 2), numDays - 1);} return totalPennies;} // Program computes pennies if you have 1 penny today,// 2 pennies after one day, 4 after two days, and so onint main() {long long startingPennies;int userDays; startingPennies = 1;userDays = 10;cout << "Number of pennies after " << userDays << " days: "<< DoublePennies(startingPennies,…
- correct or complete statements نقطتان )2( Pass the first parameter by reference and the second parameter by value char nein( int c, char i)// correct this atatenent 2 31 3 50 4 1-(char)c cout << (int)ci c< endl: return 0: 6. إجابتك نقطتان )2( correct the identified statement such that it prints on the screen, the * "first line in the file "text.txt void funx() string S: ifsteam fin ("text.txt") : aout <« fin.get (S); // correct this statement fin.close (): إجابتك نقطتان )2( complete the identified statement such that the recursive function funx(n+1) = n*funx(n-1), any positive .integer value of n, and funx(1)=1 1 float funx (int n) if (n <= 1) return 1; else return // complete this statement إجابتكWhich operator can not be overloaded? (A) + (B) - (C) * (D) ::What is the value of *q after the following code has been executed? int i = 5;int j= 10;int *p;int *q; p = &i;q = &j;q = p;