The number of tickets sold weekly for a new play in town grew according to N'(t) = 8 1+2e-0.1t (0 t 8) hundred tickets/week. t = 0 weeks corresponds to the opening of the play. (a) Approximate the total number of tickets sold from the end of the first week to the end of the seventh week using 5 midpoint rectangles. Draw the appropriate rectangles on the graph on page 3. On your work paper, show your work for finding 1 this approximation. For full credit, write out a complete Riemann sum showing each height value. Approximate each function value to 2 decimal digits. Include units in your answer. (b) Write a definite integral that represents the total number of tickets sold from the end of the third week to the end of the eighth week. Shade in the region on the graph on page 3 that corresponds to this definite integral. Do not try to find the exact number of tickets. DO NOT EVALUATE THIS INTEGRAL