Answer:

Step-by-step explanation:
the slope m = tan60° = 
0,2,4,6,8,10,13,14 your welcome:)
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.
If you add them all up then the answer is 19!
Answer: yes, Jenny is correct.
Explanation.
Analysis step by step.
1) Jenny's brother washed dishes 8 times.
2) Jenny washed dishes 4 * 8 = 32
3) The difference is 4 * 8 - 8 = (4 - 1) * 8 = 3*8 = 24.
4) Jeeny washed dishes 32 times, while her brother washed dishes 8 times, so, indeed, she washed 3 * 8 more dishes than her broter and she is correct.
You must realize that although she washed 4 times the number of dishes that her brother did, the difference is just 3 times: 32 - 8 = 24 = 3 * 8