Simplify the following: 1.F = ABC + A' + AB'C 2. F = (A + B' + C') (A + B'C)

State whether the following are valid identifiers (function or variable name) and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. (20pts) Power  Density    m1234      newamp  1234 abcd       total tangent absval computed b34a 34ab       volts$ a2B3 while  minVal sine $sine      cosine     speed- netdistance sum        return  stack

Using C write a program that uses a recursive function to find the  greatest common divisor  of two integers provided by the user. Example behavior: ./gcd Enter x: 24 Enter y: 32 The GCD of 24 and 32 is 8

Write the negation of each of the following statements (hint: you may have to apply DeMorgan’s Law multiple times) Please show work

C++ Program          Write a CPP program to do the following using recursion: 1. Using the current estimated population of 7.7 Billion and an estimated growth rate of 1.06%,  compute the estimated year when the population year could exceed over 20 Billion. 2. Display the year (2xxx) and estimated population values for each year as you do this processing. 3. Start with the current year and display the data in ascending order.  I am specifying this as it is possible to report this in descending order if the display is done after the recursion. For this assignment, create a method that calls itself recursively, passing the year and current population to itself.  You can increase the population by applying  * 1.0106  to increase by 1.06%. This method can return void and thus should do all the displays and computations needed. Display the year processed and estimated population value.. The variable for the population should be a double data type. Do not allow the display to be in scientific…