Most languages do not have the flexible built-in list (array) operations that Python has. Write an algorithm for each of the following Python operations and test your algorithm by writing it up in a suitable function. For example, as a function, reverse (myList ) should do the same as my List . reverse ( ) . Obviously, you are not allowed to use the corresponding Python method to implement your function. a) count (my List , x) (like my List . count (x) ) b) isin (myLi st , x) (like x in myList)) c) index (my List , x) (like my List . index (x) ) d) reverse (myList) (like myList . reverse ( ) ) e) sort (myList ) (like my List . sort ( ) )

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.