II. Suppose that the total worldwide sales for a song album are approximated by the function: 100x3 S(x) = 3 + 10 where, S(x) is the measured in millions of dollars; and x is the number of months since the album is released A. Use a graphing tool to show the graph of S(x) in the context of the situation. B. Construct a table to show the total number of sales for the first two years since the album's release. C. What will be the album's gross sales in the long run? Support your answer analytically using the concept of limits. D. Based on A, B, and C, discuss the trend of the gross sales of the album. Consider the function (for questions E and F) 100x3 S(x)= = 73 + k E. What will happen to lim S(x) if k is replaced by any value greater than 10? Any value less than 10? Discuss how the number k affects the limit of S(x) as x gets very large. Support your answer graphically to show the variation. F. What will happen to lim S(x) if 100 is replaced by any constant? Support your answer analytically. Consider the function (for question G) S(x) = = bx3 + k G. What will happen to lim S(x) if a, b, and k are any constant? Support your answer analytically. How do the constants a, b, and k affect the total monthly gross sales of the album