To solve a SAT instance, we need to search for a truth assignment to its propositional variables that will make all the clauses true. We will search for such a truth assignment by trying to build it one variable at a time. So a basic operation on a clause will be: Given a clause, and a truth assignment for one variable, compute the result on the clause.

Write a program that begins by reading in a series of positive integers on a single line of input and then computes and prints the product of those integers. integers are accepted and multiplied until the user enters an integer less than 1. this final number is not part of the product. then, the program prints the product. if the first entered number is negative or 0, the program must print “bad input.” and terminate immediately. next, the program determines and prints the prime factorization of the product, listing the factors in increasing order. if a prime number is not a factor of the product, then it must not appear in the factorization. sample runs are given below. note that if the power of a prime is 1, then that 1 must appear in t

When creating a budget, log fixed expenses before income. after income. after savings. at the top.

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?