What is the sum of the interior angles of a 28-gon? s = (n-2) 180
1 answer:
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Answer:
A(-1,0) is a local maximum point.
B(-1,0) is a saddle point
C(3,0) is a saddle point
D(3,2) is a local minimum point.
Step-by-step explanation:
The given function is
The first partial derivative with respect to x is
The first partial derivative with respect to y is
We now set each equation to zero to obtain the system of equations;
Solving the two equations simultaneously, gives;
and
The critical points are
A(-1,0), B(-1,2),C(3,0),and D(3,2).
Now, we need to calculate the discriminant,
But, we would have to calculate the second partial derivatives first.
At A(-1,0),
and
Hence A(-1,0) is a local maximum point.
See graph
At B(-1,2);
Hence, B(-1,0) is neither a local maximum or a local minimum point.
This is a saddle point.
At C(3,0)
Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.
At D(3,2),
and
Hence D(3,2) is a local minimum point.
See graph in attachment.
The intervals which represents those in which case the function, f(x) is reducing are as follows; [–2.5, –2], [–2, –1.5], [1.5, 2], [2, 2.5].
<h3>Which intervals naming the answer choices show the function f(x) decreasing?</h3>It follows from the complete task content that the x-intervals between which the function value of f(x) is reducing are to be identified from the graph as attached.
On this note, by observation on the graph, it follows that from between the interval; [–2.5, –2], the function f(x) is decreasing.
Also, between the interval; [–2, –1.5], the function f(x) is decreasing.
Also, between the interval; [1.5, 2], the function f(x) is decreasing.
Also, between the interval; [2, 2.5], the function f(x) is decreasing.
Remark: The answer choices are as follows; [–2.5, –2] [–2, –1.5] [–1, 1] [1.5, 2] [2, 2.5) [2.5, 3]
Read more on decreasing intervals;
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