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# Separation of Variables: Find Function

APCALC-KNWNUL

If $\cfrac {dP}{dt} = 6P$ and $(0, \, 8)$ is a point on the solution curve, then $P =$

A

$3t^2 + 8$

B

$7 + {e^{{6t}}}$

C

$8 + {e^{{6t}}}$

D

$8 \cdot {e^{{6t}}}$