Re-implement your function from Part V of the assignment, this time using only recursion and no loops. The recursive function is to be called recursive_num_of_pushups(). The function takes the same arguments (cur_push_ups and days) and increases the number of push-ups each day according to the same scheme. The general structure of the function will be a multi-way if-statement with function calls to recursive_num_of_pushups(). Naturally, with each recursive call, the argument day must be decremented (decreased by 1). The base case that terminates the recursion is reached when days equals 1.

To save energy, the air supply to a 2000 ft office has been shut off overnight and the room temperature has dropped to 40°f. in the morning, the thermostat is reset to 70°f and warm air at 120 f begins to flov in at 200ft'/min. the air is well mixed within the room, and an equal mass flow of air at room temperature (changing with time) is withdrawn through a return duct. the air pressure is nearly 1 atm everywhere. ignoring heat transfer with the surroundings and kinetic and potential energy effects, estimate how long it takes for the room temperature to reach 70°f. plot the room temperature as a function of time.