Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

And then we get that if
then
. So it has a critical point at
.
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
Answer:
D. Putting money away for retirement
Answer: it will take 2.33 hours for the snow fall in both of the towns be equal.
Step-by-step explanation:
Let x represent the number of hours that it will take for the snow fall in both of the towns be equal.
A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. This means that in x hours, the depth of snow in the town would be
6x + 2
A nearby town has accumulated 9 inches of snow and the depth is increasing by 3 inches every hour. This means that in x hours, the depth of snow in the town would be
3x + 9
For the snow fall in both of the towns be equal, the number of hours would be
6x + 2 = 3x + 9
6x - 3x = 9 - 2
3x = 7
x = 7/3 = 2.33 hours