(12 points) On January 1" of this year, the Cokato museum completed their inventory. They found they had acquired 1,100 pounds of artifacts. The function C, which is always increasing, can be used to represent the number of artifacts stored at the museum. The museum curator has determined that C satisfies the differential equation ac at = To(C - 100) for the next 10 years. a. Use the line tangent to the graph of Cat t = 0 to approximate the number of pounds of artifacts that will be in the museum on April 1" of this year. b. Find in terms of C. Use * 2 to determine whether your answer in part a is an underestimate or an overestimate of the number of pounds of artifacts that the museum contains at time t = 14. C. Find the particular solution to the differential equation de = (C - 100)