Please answer all questions and show work with comments:

31' Evaluate the following as true or Else: m The work done by a varying force F over a distance D is 315: equal to the work done by the average value ofthe force F held constant over the entire distance D. 9} Evaluate the following as true or false. m false 5 The integral V =f 1r{4 +y] y I] represents the volume obtained by rotating the region bounded by the curvesyzz2 4,m=3andtl1ezax_is about the axis a = 3. 1H] 1Will-hat are the values of a such that the average value of at] = 1 + 2.7: 9:2 on [I], a] is equal to 1? 11} Suppose you have a function y =f(x)_ You compute the area Most of the area is below the yaxje bound by the function and the xaxis between 2 and 2 and get a negative answer. What does this negative answer _ _ mean? Most of the area is below the xams. Most of the area is abcrve the y-axis. Most of the area is abcrve the xaxis