7. The distance from a child on a swing to his parent is given by the function x = 2cost + 6, where 1 1s time, In seconds, and x is distance, in metres. a) What are the minimum and maximum distances of the child from the parent? b) Determine the function that gives the speed of the child as a function of time. c) At what times is the speed the greatest? What is the position of the child at those times? d) At what times is the speed the least? What is the position of the child at those times? e) Do vour answers for parts c) and d) make sense? Explain. f) Determine the value of the acceleration of the child for a time when the child Is stopped