A culture of bacteria has an initial population of 1700 cells and grows at a rate of 110e . cells per day. Estimate the number of cells in the culture after 12 days. Number of cells after 12 days is approximately\fConsider the function f (x) = sin 12 A. Using five subintervals and rectangles, taking the sample points to be left endpoints of the subintervals, approximate (to six decimal places) the area under the graph of f(a) over the interval [0, 6] . (On paper, write the mathematical expression that you used to find the approximation. Be sure to check your calculator MODE.) Area under the graph ~ B. Repeat part A, but now using 50 subintervals. Use appropriate technology, noting any important values you needed to find the approximation. Area under the graph ~C. Repeat part A, but now using 100 subintervals. Use appropriate technology, noting any important values you needed to find the approximation. Area under the graph ~ D. Now, write an expression (not a number) that represents the exact area under the graph of f(a) over the interval |0, 6] . (Note that you can use the > button in the editor to add math symbols. ) Area under the graph = Edit Y Insert Formats B X' A A wr- KE E. Use calculus (showing the appropriate work on paper) to calculate the exact area under the graph of f (a) over the interval [0, 6]. Area under the graph