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A calculus workshop opens at 10:00am and stops accepting new students at 8:00pm. The number of students in line to request help t hours after opening is n(t) = 130"""(t - 1)2(t - 5)(t - 9)2""". A student arriving when there are s students already lined up has their query answered after T(s) = 4(s + 1)minutes. Let w(t) be the number of minutes until a student, arriving t hours after the workshop opens,receives an answer to their query.
(a) Express w(t) as a function of t
(b) Sketch the function w(t) and state its domain
(c) Will a student arriving at noon receive an answer more quickly than one arriving at 7:30pm?
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