Assume the availability of a function called fact. the function receives an int argument and returns an int value. if the argument is one or smaller, it returns the integer value one. otherwise it returns the product of all the integers from one to its argument. so the value of fact(4) is 1*2*3*4 and the value of fact(10) is 1*2*3*4*5*6*7*8*9*10. assume further that the variable k has been declared and initialized to a positive integer. assume further that the variable x has been declared as an integer type. write a statement that assigns x the value k*(k-1)*(k-2)*..\.\*3*2*1 by calling the fact function and multiplying its return value by k. note: your solution must include multiplying fact's return value by k here. submit

In a heat transfer course, we can derive the equation for the temperature distribution in a flat rectangular plate. in this example, we will look at a plate at steadystate with three sides being held at t1, and one side held at t2. the temperature for any location on the plate, t(x, y), can be calculated by where create a function (prob3_5) that will take inputs of vectors x and y in feet, scalar n, scalars l and w in feet and scalars t1 and t2 in degrees fahrenheit. it will output a matrix t which is the temperature of each x and y locations. t will have the number of columns equal to the number of elements in x and rows equal to the number of elements in y. though this can be done without loops (perhaps more efficiently), your program must use a nested loop.