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Concavity of a Parametric

APCALC-IWXEBS

Given the parametric equations:

$$x( t ) ={ t }^{ 2 }-3$$
$$y( t ) =\cfrac{1}{{ 3}}t ^{ 3 }+t$$

Find all values of $t$ on the interval $[0,5]$ where the curve is concave up.

A

$(0,1)$

B

$(1,5)$

C

$(0,5)$

D

$(0,1)$ and $(4,5)$