What is the extreme y=0.16te^{-0.6t} ?

The extreme y=0.16te^{-0.6t} is Maximum(5/3 ,0.09810…)

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extreme y=0.16te^{-0.6t}

extreme

Maximum (\frac{5}{3}, 0.09810 \dots)

Solution steps

Find the critical points:

t = \frac{5}{3}

Domain of

0.16 t e^{- 0.6 t} : - \infty < t < \infty

Find intervals:

Increasing

: - \infty < t < \frac{5}{3},

Decreasing

: \frac{5}{3} < t < \infty

Plug the extreme point

x = \frac{5}{3}

into

0.16 t e^{- 0.6 t} \Rightarrow y = 0.09810 \dots

Maximum (\frac{5}{3}, 0.09810 \dots)

What is the extreme y=0.16te^{-0.6t} ?
The extreme y=0.16te^{-0.6t} is Maximum(5/3 ,0.09810…)