Answer
There is a node at $x = 0$
Work Step by Step
$y'(t) = (3~mm)~sin(5x)~cos(4t)$
We can find the amplitude of the standing wave at $x = 0$:
$A = (3~mm)~sin(5x)$
$A = (3~mm)~sin(0)$
$A = 0$
There is a node at $x = 0$
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