Let
and
be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function
subject to the constraint
.
From the constraint, we find
so we can write the area function independently of
:
Differentiating and setting equal to zero, we find one critical point:
which means
, so in fact the largest area is achieved with a square fence that surrounds an area of
.
Answer:
Juanita's cat is faster because it can run more blocks in a second
Step-by-step explanation:
Take the number of blocks and divide by the number of seconds
Jim:
4 blocks/ 15 seconds
.26666.... block per second
Juanita
3 blocks / 11 seconds
.2727...... blocks per second
Juanita's cat is faster because it can run more blocks in a second
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Answer:
Step-by-step explanation:
We have been given that a delivery company purchased a new delivery truck for $43,200. The depreciated value of the truck can be estimated by the number of t years in service. The truck depreciates at a rate of $7,200 per year.
This means that after t years truck will depreciate 7200t. To find the truck's depreciated value after t years we will subtract 7200t from the cost of new delivery truck (43,200).
Therefore, the function could be used to estimate the truck's depreciated value after t years.