Teacher/User Name: DEMO Name:__________________________
Practice Problems Period: ________ Date: ____________
 
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Solve:

1) The velocity of a particle is v(t) = 3t + 4 ft/s. Find the displacement between t = 1 and t = 13 seconds.





 2) At 2 pm, water began leaking from a bathtub at a rate of 5t2 + 3t + 1 gal/hour where t is the number of hours after 2 pm. How much water is lost between 3 pm and 11 pm?
3) The marginal cost of producing x widgets (in units of 1000) is C'(x) = 100x2 + 30000 (dollars per thousand widgets). Find the cost of producing 14,000 chips assuming that C(0) = $21,000.





 4) The velocity of a particle is v(t) = t2 -22t + 112 ft/s. Find the total distance traveled between t = 5 and t = 10 seconds.

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