Answer:
2754
Step-by-step explanation:
Given,
Length = 18 yards is equivalent to 54 feet
Width = 51 feet
So area of the field = Length * width
= 54 x 51
=2754 square feet
![y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\ y''(0)=20\cdot0^3=0](https://tex.z-dn.net/?f=y%3Dx%5E5-3%5C%5C%20y%27%3D5x%5E4%5C%5C%5C%5C%205x%5E4%3D0%5C%5C%20x%3D0%5C%5C%200%5Cin%20%5B-2%2C1%5D%5C%5C%5C%5C%20y%27%27%3D20x%5E3%5C%5C%5C%5C%0Ay%27%27%280%29%3D20%5Ccdot0%5E3%3D0)
The value of the second derivative for
is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of
is always positive for
. That means at
there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval
![[-2,1]](https://tex.z-dn.net/?f=%5B-2%2C1%5D)
.
The function
is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
Cant really see it the picture
<h3>
Answer: Choice 2. 
</h3>
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Explanation:
The rule is that if 
for some positive number k, then it can be written as the compound inequality 
. This is a shorthand way of writing the two inequalities 
combined together.
note: 
is the same as 
From here, we replace k with 3
Therefore, 
turns into 
which breaks down further to
The keyword "and" is important as we can't pick one or the other. We must pick both 
and also 
