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5. The Canadian is a train that goes directly from Toronto to Vancouver. The entire trip is 4,466 km and takes approximately three and a

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5. The Canadian is a train that goes directly from Toronto to Vancouver. The entire trip is 4,466 km and takes approximately three and a half days. Let C(t) be the distance (in km) of the Canadian from Toronto t hours after a particular ride begins. Assume that the function C is increasing and invertible. Some values for C(t) during the first part of the trip are given in the following table 6.5 co C(t) 195 356 449 680 812 1152 2276 (a) Estimate the instantaneous velocity of the Canadian 6 hours after the ride begins. (b) Suppose that (C-1)'(800) = k, where k is some constant. Using the data in the table above, find the best possible estimate for k. Be sure to show your work. (c) In interpreting the equation (C-1)(800) = k, what are the units of 800 and k? Kim and h/kim

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