61-63 Sketch the region bounded by the given curves and find the area of the region.
1 answer:
The area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.
<h3>What is integration?</h3>It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
To find the area of the bounded region by the curves(refer to attached picture):
After solving:
A = 0.193 square units
Thus, the area of the region is 0.193 square units for the region bounded by the curves and find the area of the region.
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The transformation was a reflection over the line x = -0.5
And the image and preimage can be seen in the graph below.
<h3>How to identify the preimage and image?</h3>
First, the original vertices are:
L(3, 3)
M(2, 4)
N(-1, 0)
3 vertices means that our figure is a triangle.
Now, the transformed vertices are:
L'(2, -5)
M'(3, -4)
N'(-1, 1)
And the graph of both sets can be seen below.
Now we can try to identify the transformation.
Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5
This is a clear implication that the transformation was a reflection over the line x = -0.5
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