More on areas. farmer jones, and his wife, dr. jones, both mathematicians, decide to build a fence in their field to keep the sheep safe. being mathematicians, they decide that the fences are to be in the shape of the parabolas y=6x2 and y=x2+9. what is the area of the enclosed region?

Area covered by the fences will be 16.1 unit²

Step-by-step explanation:

Let the first parabola is represented by the function f(x) = 6x²

and second parabola by g(x) = x² + 9

point of intersection of the graphs will be determined when f(x) = g(x)

6x² = x² + 9

5x² = 9

x² = 1.8

x = ± 1.34

Now we will find the area between these curves drawn on the graph.

Area =

=

=

=

=

= 16.1 unit²

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