AB Calculus Practice Exam

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• 4.1

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On a certain day, the rate at which material is deposited at a recycling center is modeled by the function R, where R(t) is measured in tons per hour and t is the number of hours since the center opened. Using a trapezoidal sum with the three subintervals indicated by the data in the table, what is the approximate number of tons of material deposited in the first 9 hours since the center opened?

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I DO

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An object moves along a straight line so that at any time t its acceleration is given by a(t) = 6t. At time t = 0, the object's velocity is 10 and the object's position is 7. What is the object's position at time t = 2?

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