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Single Variable Calculus

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Find Global Minimum Value of a Function

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A particle's height is given by the function $h(t)=3t^3-3t^2-8t$, defined for $t\ge 0$.

What is the minimum height of the particle?

A

no minimum height

B

$0$

C

$\frac{-80}{9}$

D

$\frac{-40}{9}$