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Intervals of Increasing Speed

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The velocity of a particle moving along a line is given by v(t)=−t3+2t2+2−t\displaystyle v(t) = -t^3 + 2t^2 + 2^{-t} for t≥0t \geq 0. For what values of tt is the speed of the particle increasing?

A

(0, 2.057) only

B

(0.177, 1.256) and (2.057, ∞)

C

(0, 1.256) only

D

(0, 0.177) and (1.256, ∞)

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