For this week's lab we will be creating two separate methods to detect if a user entered string is a palindrome. The first method should ONLY use the string class and/or character class and should compare one character at a time working from the outside in. The second method should use the StringBuilder class and can use any method of that class. Note: Special characters, character case, and spaces should be ignored. Example palindromes follow:a. racecarb. RaceCarc. !Race Card. Ra!ceCa

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.