Assume the existence of a widget class that implements the comparable interface and thus has a compareto method that accepts an object parameter and returns an int. write an efficient static method, getwidgetmatch, that has two parameters. the first parameter is a reference to a widget object. the second parameter is a potentially very large array of widget objects that has been sorted in ascending order based on the widget compareto method. the getwidgetmatch searches for an element in the array that matches the first parameter on the basis of the equals method and returns true if found and false otherwise. 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.