NCSU
MA 241 -
Extra Practice Problems
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MA241 Extra Practice ProblemsFall 20181. Find the average value of the function f(x) = sin(6x) over the interval [−π, π].2. A force of 50N is required to hold a spring that has been stretched from its naturallength of 8 cm to a length of 12 cm. How much work is done in stretching the springfrom 12 cm to 14 cm?3. The work done by pumping half of the water out of the top of an aquarium (theaquarium is initially full of water). The dimensions of the aquarium are: 2m long, 1mwide, and 4m deep.For each of the following, SET UP an integral to determine the indicated quantities.DO NOT EVALUATE THE INTEGRALS!!!4. The length of the curve x = y4,on the interval 1 ≤ y ≤ 3.5. The length of the curve x = y52, on the interval 0 ≤ y ≤
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