Q1 15 Points A closed box has length twice its width and fixed surface area A. 2x X Q1.1 2 Points Find a formula for the volume of the box, V in terms of the width, a. Show all of your steps. Q1.2 4 Points Sketch a graph of V (x:), labeling a-intercepts. No files uploaded Q1.3 1 Point What is the domain of V (a )? Hint: use your graph from question 1.2. Q1.4 3 Points What is the maximum volume of the box? Show all of your steps and give an exact, simplified answer. Q1.5 1 Point What would happen to the maximum volume of the box if A was increased? Q1.6 4 Points Suppose the surface area of the box is 40 square inches (A = 40) and the width of the box is decreasing over time. At a particular instant, the width of the box is 5 inches and is decreasing at a rate of 0.3 inches/hour. At what rate is the volume changing at that moment? Provide units and round your answer to the nearest tenth