1/4 rounded to the nearest whole number
2 answers:
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Answer: or
Step-by-step explanation:
You can find the area of a regular hexagon with the following formula:
Where "s" is any side of the regular hexagon.
For this hexagon you know that the length of each side is 4 inches. Then, you must substitute into the formula
.
Therefore, the area of this regular hexagon is:
or
The critical points of <em>h(x,y)</em> occur wherever its partial derivatives and
vanish simultaneously. We have
Substitute <em>y</em> in the second equation and solve for <em>x</em>, then for <em>y</em> :
This is to say there are two critical points,
To classify these critical points, we carry out the second partial derivative test. <em>h(x,y)</em> has Hessian
whose determinant is . Now,
• if the Hessian determinant is negative at a given critical point, then you have a saddle point
• if both the determinant and are positive at the point, then it's a local minimum
• if the determinant is positive and is negative, then it's a local maximum
• otherwise the test fails
We have
while
So, we end up with