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The cost in dollars of producing x units of a particular brand of notebook is C(x) = x2 – 400.
A) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 102. Include units in your answer.
B)nFind the instantaneous rate of change of C with respect to x when x = 100. Include units in your answer.

Respuesta :

choixongdong

A)
C(102) = 102^2 – 400 = 10004
C(100) = 100^2 – 400 = 9600

average rate of change = (10004- 9600)/(102 - 100) = 404/2 = 202

B)
C' = 2x = 2 (100) = 200

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