Write a user written function that expects as its input argument a vector of x values and a vector of corresponding y-values. The function must return a matrix with 3 columns. The first column must be the x-vector that was provided by the user. The other columns must contain approximations for the first derivative (dy/dx). Column 2 must contain forward difference approximations, column 3 must contain backward difference approximations. Populate the matrix with NaN if the method cannot be computed correctly for a given point.

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Write a car class having two private member variables called tank and speed. write public methods called pumpgas and gofast. the method pumpgas gets an integer for gas that must be pumped. that value needs to be added to tank (no more than 20 gallons). it must return the amount of gas that is purchased ($4 per gallon). the method gofast should increase the speed by 5 each time it is called. write a constructor for the above class that initialized both variables to zero. write a tostring to display both the tank and speed when the car is printed. modify the car class to implement the interface comparable and an interface called carinter having the public methods in carinter. write the main program to create an array of size 5 of type car. create 5 car objects having each location of the array to refer to one of the cars. test the pumpgas, gofast, equals method on the array items. write an enhanced loop to print all the car values (using a tostring written last time).write a generic method to find the minimum of four items. pass int, double, char, string and car objects to test this method.

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