PLEASE ANSWER ALL QUESTIONS AND MAKE WRITING CLEAR

A square with side x cm, is changing with time where x(t) = 3t + 1. What is the rate of change of the area of the square when t = 2 seconds?What function should be used to maximize the volume of an open box whose surface area is equal to 20 where the box has a square bottom? h X XWhat function should be used to maximize the volume of a closed box whose surface area is equal to 16 where the box has a square bottom? h X X\fJim is running along a parabolic track where his position can be described as y = 3x2. He knows that his friend is waiting for him at position (0, 1), which is not on the track. Where will Jim be the closest to his friend?An object is traveling along a path described by = \\* +3 . Where along that path will the object be the closest to the point (2, 0)