How do you do this
2 answers:
Answer:
The best choice is to use a calculator (the button is ), but if that is not an option here are a few tips.
If a perfect square ends with a 1, then the last digit of its square root has to be either 1 or 9.
If a perfect square ends with a 4, then the last digit of its square root has to be either 2 or 8.
If a perfect square ends with a 5, then the last digit of its square root is definitely 5.
If a perfect square ends with a 6, then the last digit of its square root has to be either 4 or 6.
If a perfect square ends with a 9, then the last digit of its square root has to be either 3 or 7.
I took a look and all of them seem to be perfect squares so hopefully this helps!
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Answer:
Step-by-step explanation:
<u>Maximization With Derivatives</u>
Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.
We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.
The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.
The amount of fence needed to enclose the external and the internal divisions is
We know the total fencing is 1/2 miles long, thus
Solving for x
The total area of the pasture is
Substituting x
Differentiating with respect to y
Equate to 0
Solving for y
And also
Compute the second derivative
Since it's always negative, the point is a maximum
Thus, the maximum area is