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1. [-/3 Points] DETAILS HARMATHAP12 9.3.039. MY NOTES Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x5
1. [-/3 Points] DETAILS HARMATHAP12 9.3.039. MY NOTES Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x5 + 0.005x2 + 28x + 3000. (a) Find the average rate of change of total cost when production changes from 100 to 200 printers. (b) Find the average rate of change of total cost when production changes from 200 to 600 printers. (c) Interpret the results from parts (a) and (b). The average rate of change of price per printer is greater when 200 to 600 printers are produced. O The average rate of change of total cost of production is greater when 200 to 600 printers are produced. The average rate of change of price per printer is greater when 100 to 200 printers are produced. O The average rates of change of total cost of production are equal. The average rate of change of total cost of production is greater when 100 to 200 printers are produced. Need Help? Read It Submit Answer 2. [-/2 Points] DETAILS HARMATHAP12 9.3.001. MY NOTES For the given function find the average rate of change over each specified interval. f( x ) = x2 + x - 12 (a) [0, 1] (b) [-4, 10] Need Help? Read It Watch It Submit Answer3. [-/2 Points] DETAILS HARMATHAP12 9.3.041. MY NOTES If the demand for a product is given by 1000 D(p) = VP what is the average rate of change of demand when p increases within the following values? (Give exact answers. Do not round.) (a) 4 to 16 (b) 16 to 100 Need Help? Read it Watch It Submit Answer 4. [-/1 Points] DETAILS HARMATHAP12 9.3.042.MI. MY NOTES If the total revenue function for a blender is R(x) = 36x - 0.01x2 where x is the number of units sold, what is the average rate of change in revenue R(x) as x increases from 13 to 26 units? $ per unit Need Help? Read it Master It Submit Answer 5. [-/5 Points] DETAILS HARMATHAP12 9.3.006. MY NOTES Given f(x) = x2 + 4x + 8, find the average rate of change of f(x) over each of the following pairs of intervals. (a) [1.9, 2] and [1.99, 2] average rate of change over [1.9, 2] average rate of change over [1.99, 2] (b) [2, 2.1] and [2, 2.01] average rate of change over [2, 2.1] average rate of change over [2, 2.01] (c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f(x) at x = 2 might be? Need Help? Read It Submit
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