Two files named numbers1.txt and numbers2.txt both have an unknown number of lines, each line consisting of a single positive integer. Write some code that reads a line from one file and then a line from the other file. The two integers are multiplied together and their product is added to a variable called scalar_product which should be initialized to zero. Your code should stop when it detects end of file in either file that it is reading. For example, if the sequence of integers in one file was "9 7 5 18 13 2 22 16" and "4 7 8 2" in the other file, your code would compute: 4*9 + 7*7 + 8*5 + 2*18 and thus store 161 into scalar_product.

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.