Mathematics, 10.01.2021 14:00, emmanuellugo40
The acceleration, in meters per second per second, of a race car is modeled by A(t)=t^3−15/2t^2+12t+10, where t is measured in seconds. What is the car’s maximum acceleration on the time interval 0≤t≤6 ?
Answers: 1
. 
.
is closed on both ends. In other words, this interval includes both endpoints: 
and 
. Over this interval, the value of 
might be maximized when 
.A local maximum of 
(first derivative of 
is zero) and 
(second derivative of 
is smaller than zero.)
.
.
.
and 
are first derivatives of 
over the interval 
ensures that the second derivative 
is smaller than zero (that is: 
.) If the second derivative 
is non-negative, that zero of 
) or a local minimum (if 
.) 
would be the only local maximum over the interval 
.
.
is indeed part of the 
(which does not include 
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The acceleration, in meters per second per second, of a race car is modeled by A(t)=t^3−15/2t^2+12t+...
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