mariahmimibrooks
16.03.2020 •
Mathematics
Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by the function h(t). Find the maximum altitude (in ft) attained by the rocket. (Round your answer to the nearest foot.) h(t) = − 1 3 t3 + 2t2 + 12t + 21 (t ≥ 0)
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Ответ:
Step-by-step explanation:
The maximum altitude of the rocket can be found with the help of First Derivative and Second Derivative Tests:
Critical values are:
,
The second derivative values related to critical values are:
(Maximum)
(Minimum)
Only the first solution offers a physically reasonable solution, as time is a positive variable. Then, maximum height is:
Ответ:
The simplified value of the exponential expression is 3.
Step-by-step explanation:
The given exponential expression is
This expression can be written as
Therefore the simplified value of the exponential expression is 3.