5. An internet service provider has modelled its projected number of business subscribers as B(t) = 50t + 2500 and the projected average number of Internet connections per business subscriber as C(t) = 0.004t² + 3.2, where t is the time, in weeks, over the next year. The projected total number of business Internet connections is then N(t) = B(t) x C(t) a. Determine the growth rate of the number of business connections after t weeks. b. Determine the growth rate of the number of business connections after 12 weeks.

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