How are the ordered pairs formed that create the cosine function?

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officialgraciela67

08.11.2021

Mathematics

The length at time t is modeled as
$L(t)=32(1-e^{-0.37t} ) \, cm, \,\, 0\le t \le 13$

The rate of change of the length is
$\frac{dL}{dt} = -0.37(32)e^{-0.37t} = -11.84e^{-0.37t}$

When t = 7 years,
$\frac{dL}{dt}|_{t=7} =-11.84e^{-0.37 \times 7} = -0.8882 \,\, cm/yr$

-0.8882 cm/year

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