a.
Critical points occur where 
. The exponential factor is always positive, so we have
b. As the previous answer established, the critical point occurs at (-3, 8) if 
and 
.
c. Check the determinant of the Hessian matrix of 
:
The second-order derivatives are
so that the determinant of the Hessian is
The sign of the determinant is unchanged by the exponential term so we can ignore it. For 
and 
, the remaining factor in the determinant has a value of 4, which is positive. At this point we also have
which is negative, and this indicates that (-3, 8) is a local maximum.
-0.25m+m would work but im not sure if thats what the question is looking for
We can put it like this
162/18=486/x
cross multiply
162*x = 486 * 18
162*x = 8748
divide both sides by 162
x = 54
It will take her 54 minutes to travel 486 miles
Hope this helps :)
It is 62 inch squared.
All you have to do is plug the numbers into the SA formula (SA= lw + hw + hl)
To solve this problem, you will have to first find how many US Dollars are in 1 Euro. Upon looking this up, I see that currently 1 Euro is worth 1.23 US Dollars. Next, you must calculate how many liters are in a gallon. Looking this up shows that 1 liter is equal to 0.264 gallons.
Since 0.264 is not a whole gallon and we are asked to find the price per gallon, we should next calculate how many liters can fit in a gallon. To do this, we will divide 1 by 0.264, which gives us 3.78. This tells us that 3.78 liters will fit into a gallon.
The cost of 1L of gas in euros is 1.50 Euros. Since we need 3.78L to equal 1 gallon, we can calculate the cost of this to be:
3.78 * 1.50 = €5.67
Earlier we determined that 1 euro is worth 1.23 US Dollars. Our final step is to convert our €5.67 per gallon to dollars per gallon. To do this, we simply have to multiply 5.67 by 1.23. This gives us $6.97.
So, our answer is that the cost is $6.97 per gallon.
Hopefully this is correct and makes sense to you. This is how I would approach the question.
