Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme
values, if any, are absolute.
-$$g ( t ) = \frac { t ^ { 3 } } { 3 } - \frac { 11 } { 2 } t ^ { 2 } + 24 t , 0 \leq t

Question

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme
values, if any, are absolute.
-$$g ( t ) = \frac { t ^ { 3 } } { 3 } - \frac { 11 } { 2 } t ^ { 2 } + 24 t , 0 \leq t < \infty$$
A) local minimum: $\frac { 63 } { 2 }$ at $x = 3$; local maximum: 0 at $x = 0$; absolute maximum: $\frac { 32 } { 3 }$ at $x = 8$
B) local minimum: $\frac { 63 } { 2 }$ at $x = 3$; local and absolute maximum: $\frac { 32 } { 3 }$ at $x = 8$
C) local minimum: 0 at $x = 0$; local and absolute minimum: $\frac { 32 } { 3 }$ at $x = 8$; local maximum: $\frac { 63 } { 2 }$ at $x = 3$
D) local and absolute minimum: $\frac { 32 } { 3 }$ at $x = 8$; local maximum: $\frac { 63 } { 2 }$ at $x = 3$

Quizplus · Accepted Answer

The Answer of Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme
values, if any, are absolute.
-$$g ( t ) = \frac { t ^ { 3 } } { 3 } - \frac { 11 } { 2 } t ^ { 2 } + 24 t , 0 \leq t < \infty$$
A) local minimum: $\frac { 63 } { 2 }$ at $x = 3$; local maximum: 0 at $x = 0$; absolute maximum: $\frac { 32 } { 3 }$ at $x = 8$
B) local minimum: $\frac { 63 } { 2 }$ at $x = 3$; local and absolute maximum: $\frac { 32 } { 3 }$ at $x = 8$
C) local minimum: 0 at $x = 0$; local and absolute minimum: $\frac { 32 } { 3 }$ at $x = 8$; local maximum: $\frac { 63 } { 2 }$ at $x = 3$
D) local and absolute minimum: $\frac { 32 } { 3 }$ at $x = 8$; local maximum: $\frac { 63 } { 2 }$ at $x = 3$

Identify the Function's Extreme Values in the Given Domain, and Say