Use a Finite State Machine (FSM) to solve the following problem: You are asked to design the following 4-number sequence detector. A sequence detector receives integers at its input, one integer at a time. Inputs are either integer O or integer 1.
For each 4 integers that are input, the FSM needs to see whether they match one of two given sequences: 1010, or 0110.
The FSM outputs are 1 (integer) if either one of the two sequences was found. Otherwise, the FSM outputs a 0 (integer).
Overlapping sequences are accepted, e. g., 1 0 1 0 1 0 will produce the output 0 0 0 1 0 1. The integers are input one at a time, so we can't see all 4 integers at once.

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.