Answer true or false. Use a graphing utility to graph y = 4t³ on [0, 3]. If this graph represents a position versus time curve for a particle, the instantaneous velocity of the particle is increasing over the graphed domain.

Question

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The instantaneous velocity is the derivative of the position function, which is y' = 12t^2. Since 12t^2 is always positive and increasing on the interval [0, 3], the instantaneous velocity is increasing.

Answer True or False