6. Extra Credit: 5 points each The figure below shows some noisy energy process with over a number of seconds. We can see that energy is increasing as time increases. You are able to sample the process five times over the interval and retrieve the data in the table below. 40 00 35 30- 25 25 20 15 10- 5 2 t[s] 0.4 1.0. 2.2 3.9 4.1 38.78 energy [J] 6.69 8.18 17.17 36.05 Based on the increase of the data, let us assume that the it is increasing as the square of t. As such, let's attempt to fit the following function to the data: f(x,t) =xo+it+x2t² (a) Write the A matrix for the given problem. (b) Write the b vector for the given problem. (c) Use the least-squares method in a computer to determine x. (d) What do each of the x elements describe in the function?