1. Write a program that reads two numbers a and b and displays the sum and product of the two numbers.

2. Write a program that reads two natural numbers x and y and displays the quotient and remainder of the two numbers.

3. Write a program that reads two integers a and b and displays the sum and the difference of the two numbers.

4. Write a program that reads two numbers a and b that represent the length and width of a rectangle. Write a program that calculates and displays the perimeter and area of the rectangle.

5. Read a and b two natural numbers. Develop an algorithm that calculates and displays the sum and product of the two numbers, as well as the sum of the squares of the two numbers.

We as humans write math expression in infix notation, e.g. 5 + 2 (the operators are written in-between the operands). in a computer’s language, however, it is preferred to have the operators on the right side of the operands, i.e. 5 2 +. for more complex expressions that include parenthesis and multiple operators, a compiler has to convert the expression into postfix first and then evaluate the resulting postfix.write a program that takes an “infix” expression as input, uses stacks to convert it into postfix expression, and finally evaluates it. it must support the following operations: + - / * ^ % (example infix expression: (7 - 3) / (2 + 2)postfix expression: 7 3 - 2 2 + /result: 1guidelines: 1. you will need to use stacks in three placesa. one for the parenthesis check [char stack]b. one during infix to postfix [char stack]c. one during evaluation [int stack]for a and b above, you can use same array and same push, pop method as both ofthem are char. but for evaluation you have int stack and you might consider to createanother push pop method to handle it. maybe push_int, pop_int, etc. or find otherstrategy to utilize existing push pop method2. you can create a function for obtaining operator priority. that function should take anoperator as input and return its priority as an integer. this function will you a lot andreduce repeated code3. during evaluation you will need to convert char into integer. example for single digit: char c = '5'; int x = c - '0';

Need fast im timed in a paragraph of 125 words, explain at least three ways that engineers explore possible solutions in their projects.

Into which of these files would you paste copied information to create an integrated document? a. mailing list b. destination c. source d. data source