Write an if/then/else primitive to do each of the following operations. a. Compute and display the value x ÷ y if the value of y is not 0. If y does have the value 0, then display the message ‘Unable to perform the division.’ b. Compute the area and circumference of a circle given the radius r if the radius is greater than or equal to 1.0; otherwise, you should compute only the circumference.
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Write an if/then/else primitive to do each of the following operations.
a. Compute and display the value x ÷ y if the value of y is not 0.
If y does have the value 0, then display the message ‘Unable to perform
the division.’
b. Compute the area and circumference of a circle given the
radius r if the radius is greater than or equal to 1.0; otherwise, you
should compute only the circumference.
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- In Java Language Write an if/then/else primitive to do each of the following operations.a. Compute and display the value x ÷ y if the value of y is not 0.If y does have the value 0, then display the message ‘Unable to performthe division.’b. Compute the area and circumference of a circle given theradius r if the radius is greater than or equal to 1.0; otherwise, youshould compute only the circumference.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,…Three numbersa. Write a program that reads three numbers and prints “all the same” if they are allthe same, “all different” if they are all different, and “neither” otherwise.b. Write a program that reads three numbers and prints “increasing” if they are inincreasing order, “decreasing” if they are in decreasing order, and “neither”otherwise. Here, “increasing” means “strictly increasing”, with each value largerthan its predecessor. The sequence 3 4 4 would not be considered increasing.c. Repeat part b. but before reading the numbers, ask the user whetherincreasing/decreasing should be “strict” or “lenient”. In lenient mode, thesequence 3 4 4 is increasing and the sequence 4 4 4 is both increasing anddecreasing
- 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 mannerSummary When you borrow money to buy a house, a car, or for some other purposes, then you typically repay it by making periodic payments. Suppose that the loan amount is L, r is the interest rate per year, m is the number of payments in a year, and the loan is for t years. Suppose that i = (r / m) and r is in decimal. Then the periodic payment is (first image which R=....): You can also calculate the unpaid loan balance after making certain payments. For example, the unpaid balance after making k payments is (second image which L'=....) : where R is the periodic payment. (Note that if the payments are monthly, then m = 12.) Instructions Write a program that prompts the user to input the values of L, r, m, t, and k. The program then outputs the appropriate values. Your program must contain at least two functions, with appropriate parameters, to calculate the periodic payments and the unpaid balance after certain payments. Make the program menu driven and use a loop so that the…6. A palindrome is a number or text phrase that reads the same backwards or forwards. For example, each of the following five-digit integers is a palindrome: 12321, 55555, 45554 and 11611. Write a program that reads a 5 digit integer and determines whether it is a palindrome. Hint: One way to do this is to use division (/) and modulus (%) operators to separate the number into individual digits.
- Implement the following two functions: // Returns true if all the sides of the triangle // are same. bool isValid(double side1, double side2, double side3) // Returns the perimeter of an equilateral triangle.double perimeter(double side1) The formula for computing the perimeter is perimeter = 3 * side. Write a test program that reads three sides for a triangle and computes the perimeter if the input is valid. Otherwise, display that the input is invalid.Welcome to the temperature conversion program. Please enter a the sample temperature in Degrees Kelvin:> 345Do you wish to convert the temperature to (c) for Celsius, or (f) for Fahrenheit:>cThe water is in a liquid state at 72.0 degrees celsius. Do you wish to enter another temperature? (Y for yes, N for no):> y Please enter a the sample temperature in Degrees Kelvin:> 234Do you wish to convert the temperature to (c) for Celsius, or (f) for Fahrenheit:>FThe water is in a solid state at -38.2 degrees fahrenheit. Do you wish to enter another temperature? (Y for yes, N for no):> Step 1 Convert kelvin into Celsius KelvinTemp − 273.15 = -273.1°C Convert kelvin into Fahrenheit FaherenheitTemp = (kelvinTemp- 273.15) * (9/5) + 32) Phases based on the temperature in Liquid, Solid, and Gaseous state state celsiusTemp FahreheitTemp gas(water vapor) >100 degree > 212 degree solid <0 degree <32 degree liquid other temperature other temperatures…discrete math programing python or c++ the range of values is from 0 to 5 Let Q(x, y) denote “x + y = 5” The domain of x and y is from range 0 to 5 . Implement the code that outputs the truth values of the following quantifications: 1. ∀x ∀y Q(x, y) 2. ∀x ∃y Q(x, y) **Display values of variables x and y if the quantification is true.
- Suppose you want to deposit a certain amount of money into a savings account, and thenleave it alone to draw interest for the next 10 years. At the end of 10 years, you would like tohave $10,000 in the account. How much do you need to deposit today to make that happen?You can use the following formula, which is known as the present value formula, to find out:The terms in the formula are as follows: [5 marks]• P is the present value, or the amount that you need to deposit today.• F is the future value that you want in the account. (In this case, F is $10,000.)• r is the annual interest rate.• n is the number of years that you plan to let the money sit in the account.Write a method named presentValue that performs this calculation. The method should accept the future value, annual interest rate, and number of years asarguments. It should return the present value, which is the amount that you need to deposit today.Demonstrate the method in a program that lets the user experiment with…Write a flowchart and pseudocode like this: Pseudocode: Start inputmyNumber Set myAnswer-myNumber * 10 output myAnswer 1.The Dash Cell Phone Company charges customers a basic rate of $5 per month to send text messages. Additional rates are as follows: The first 100 messages per month, regardless of message length, are included in the basic bill. An additional three cents are charged for each text message after the 100th message, up to and including 300 messages. An additional two cents are charged for each text message after the 300th message. Federal, state, and local taxes add a total of 14 percent to each bill. THANKYOUU] In a triangle, the sum of the lengths of any two sides is greater than the lengthof the other third side. Write a program triangle.cc that prompts a user to enterthe lengths of three sides, checks if they form a triangle, and outputs if it is an isosceles,equilateral, scalene, or right triangle. Also, your program should output the perimeter andthe area of the triangle. In a right triangle, the square of the length of one side is equalto the sum of the squares of the lengths of the other two sides. An isosceles triangle hastwo sides of equal length. An equilateral triangle has all three sides with the same length.A scalene triangle has no equal sides. Your program should define and use the followingfunctions:(a) isTriangle - takes the 3 sides of a triangle and returns true if they form a triangle,false otherwise.(b) isIsosceles - takes the 3 sides of a triangle and returns true if they form anisosceles triangle, false otherwise.(c) isEquilateral - takes the 3 sides of a triangle and…