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Average Value in Context
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Grade Level
Calculus II
CAL2.60 Average Value in Context
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An object has velocity v(t)=4 sin(t) feet per second for 0≤t≤2π. Which statement gives the average speed over the interval?
A
(1/(2π))∫_0^(2π)4 sin(t)dt=0 ft/s; the object's speed averages zero.
B
(1/(2π))∫_0^(2π)abs(4 sin(t))dt=8/π ft/s; the object's speed averages 8/π feet per second.
C
∫_0^(2π)abs(4 sin(t))dt=16 ft/s; the object's average speed is 16 feet per second.
D
(v(2π)-v(0))/(2π)=0 ft/s²; this is the average speed.
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