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Computer Science: A Structured Programming Approach Using C, Third Edition
- The following statement should determine if x is not greater than 20. What is wrong with it?arrow_forwardExercise 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,…arrow_forwardWhat is the output of the following code ? x = 0 if x < 4 : x = x + 1 print ("x is " , x )arrow_forward
- *2. Express the following Boolean expressions in simpler form; that is, use fewer operators. x is an in (d) !(x <= y)arrow_forwardWrite an expression that obtains a random integer between 34 and 55. Write an expression that obtains a random integer between 0 and 999.arrow_forwardExplain the difference between the two expressions below. X=2 and x==2arrow_forward
- Write an expression that obtains a random integer between 34 and 55. Write an expression that obtains a random integer between 0 and 999. Write an expression that obtains a random number between 5.5 and 55.5.arrow_forwardThe value of x at the end.int x = 1;x = x + 1;x++;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 equation: ed – bf ax + by = e cx + dy = f af - eс y ad – bc %3D ad – bc 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."arrow_forward
- “As one variable goes up, the other variable goes down” is a description of:arrow_forwardWhat is the output of the statements below? x=3 while xarrow_forwardProblem Description Did you know that in lotteries, a 3-digit number with the same numbers in all digits like 777 will hit the jackpot in a casino? In the same manner, let's make a program that will test if a certain 3-digit number hits a jackpot or not by identifying if all the digits of a given number is the same as the second inputted number. If it is, print "Jackpot!"; else, print "Nah". Input A line containing two integers separated by a space. 777·7 Output A line containing a string. Jackpot! -USED JAVA PROGRAMMING LANGUAGEarrow_forward
- Microsoft Visual C#Computer ScienceISBN:9781337102100Author:Joyce, Farrell.Publisher:Cengage Learning,