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Demand for Tents The demand for Sportsman 5 x 7 tents is given by the following function where p is measured in dollars and x is measured in units of a thousand. (Round your answers to three decimal places.) p:(x)=o.1x2x+40 (3) Find the average rate of change in the unit price of a tent if the quantity demanded is between the following intervals. between 4000 and 4050 tents s |:| per 1000 tents between 4000 and 4010 tents $ |:| per 1000 tents (b) what is the rate of change of the unit price if the quantity demanded is 4000? $ |:| tens The graph of a function is shown. A)\" l--1 O (a) Does x} have a limit atx : a, as xapproaches a? O Yes O No (b) [5 x) continuous atx = a? 0 Yes O No {c} Is x) differentiable at): = a? O Yes O No Rate of Change Of Production Costs The daily total cost C(x} incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function. C(X) = 0.000002x3 + 7x + 220 Calculate the following for h = 1, 0.1, 0.01., 0.001., and 0.0001. [Round your answers to four decimal places.) C(100 + h) C(100) h h: 0.0001 |:| Use your results to estimate the rate of change of the total cost function when the level of production is 100 casesfday. (Round your answer to two decimal places.) $|:|