The rate of production of a new line of products is given by where x is the

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The rate of production of a new line of products is given by
400 dx 200 200 dt (t + 40)2 1+

where x is the number of items and t is the number of weeks the product has been in production.
(a) Assuming that x = 0 when t = 0, find the total number of items produced as a function of time t.
(b) How many items were produced in the fifth week?

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