a. Note that
is continuous for all
. If
attains a maximum at
, then
. Compute the derivative of
.

Evaluate this at
and solve for
.




To ensure that a maximum is reached for this value of
, we need to check the sign of the second derivative at this critical point.

The second derivative at
is negative, which indicate the function is concave downward, which in turn means that
is indeed a (local) maximum.
b. When
, we have derivatives

Inflection points can occur where the second derivative vanishes.




Then we have three possible inflection points when
,
, or
.
To decide which are actually inflection points, check the sign of
in each of the intervals
,
,
, and
. It's enough to check the sign of any test value of
from each interval.




The sign of
changes to either side of
and
, but not
. This means only
and
are inflection points.
Answer: your just finding the meadian soo line up each number from least to greatist and find the middle number
Step-by-step explanation:
Answer:
The answer is 48
Step-by-step explanation:
180 degrees in a triangle the bottom two sides are equal and so divide the remaining 96 degrees by 2
To get the previous population you would have to multiply 9,300 by 38% (.38) and then add it to 9,300, or you can also multiply it by 138% (1.38) and still get the same answer but this step is only a one step the first is a two step process
Answer:
4(5x+4) is the answer
Step-by-step explanation:
..............