The area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
<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.
We have two curves:
y=x³-8x² 18x-5 and
y=x + 5
The intersection point will be:
(1, 6), (2, 7), and (5, 10)
From the graph, we can integrate to evaluate the area enclosed by the curves:
After calculating, we get:
Area = 142/12 = 71/6 or 11.83 square units
Thus, the area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
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Answer:
589 divided by 5 would be 65. to check your answer you can say 65*5 which would be equal to 589.
The length of the lighthouse (120) and the length of the shadow (160) form the sides of a triangle.
Use the formula a^2 + b^2 = c^2
120^2 + 160^2 = c^2
<h3>
Answer: A) D and H</h3>
These two points are on the front panel along with points A and B
Choice B is not the answer since points A,B,F are on the floor panel, but point I is not on the floor panel (instead its on the right wall panel)
Choice C is not the answer as points G and C are in the ceiling panel, while A and B are in the floor panel and front wall panel.
Choice D is not the answer for similar reasoning as choice B not being the answer.
Points are considered coplanar if they are in the same plane. A plane can be thought of as a flat piece of paper that does not bend or curve.