Write a program whose input is a character and a string, and whose output indicates the number of times the character appears in the string. The output should include the input character and use the plural form, n's, if the number of times the characters appears is not exactly 1. Ex: If the input is: n Monday the output is: 1 n Ex: If the input is: z Today is Monday the output is: 0 z's Ex: If the input is: n It's a sunny day the output is: 2 n's Case matters. Ex: If the input is: n Nobody the output is: 0 n's n is different than N.

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.