Identify which of the following is the most appropriate method to employ: (1) exact solve; (2) linear/logistic regression; (3) neural network trained with gradient descent; or (4) crossentropy method. Describe how precisely you would employ this method to solve the problem, and explain your reasoning for why your chosen method is 1 the most appropriate. In some settings, two methods may be equally appropriate; if you think this is the case, identify the pair, explain why both methods are equally effective, and elucidate how both can be used to solve the problem. You will be graded based on the quality and correctness of your answers and accompanying explanations.

Part (d): Watching a Rocket Launch. The famed rocket company GreenOrigin is launching their brand new rocket from a launchpad in the suburbs of New York City. You are planning to watch the launch. Ideally, you would like to see the rocket in air for as long as possible, and you are willing to go at most 0.1 degree north or south in latitude, as well as at most 0.1 degree east or west in longitude from the geographical coordinates of your dorm to do so. Lucky for you, GreenOrigin has released their visibility model for the launch; indeed, given a pair (x,y) of latitude and longitude coordinates in New York City, the rocket is estimated to be visible for t(x,y)=x40.7(x40.7)+(y+73.9)4+ sin2(x/40.7) minutes. You would like to determine the exact coordinates satisfying your constraints at which the rocket is visible for the maximal amount of time