Question

# 1a. A variable force of 9x^-2 pounds moves an object along a straight line when it is x feet from the origin.

Calculate the work done in moving the object from x = 1 ft to x = 12 ft. (round your answer to two decimal places). b. The linear density p in a rod 5 m long is 9/sqrt(x+4) kg/m, where x is measured in meters from one end of the rod. Find the average density Pave of the rod (kg/m). c. In a certain city the temperature (F) t hours after 9 AM was modeled by the function T(t) = 47 + 10 sin pi t/12. Find the average temperature Tave during the period from 9am to 9 pm

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