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When you weigh bananas in a scale at the grocery store, the height ŉ of the bananas is described
by the differential equation
d² h : - kh
dt²
where k is the spring constant, a constant that depends on the properties of the spring in the
scale. After you put the bananas in the scale, you (cleverly) observe that the height of the
bananas is given by
h(t) = 4 sin 3t.
What is the value of the spring constant?

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