Add or subtract the measurements8'3"- 5' 5"8.
1 answer:
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Given:
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.
To Find:
A system of linear equations represents the situation.
Answer:
Step-by-step explanation:
We are given that x represents the number of fiction books and y is the number of non-fiction books.
We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write
Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write
So, the total system of equations can be represented as
The volume of a sphere is given by:
So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:
</span>![V=\pi \int_{a}^{b}[f(x)]^{2}dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%5Bf%28x%29%5D%5E%7B2%7Ddx)
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Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:
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Isolationg y:
</span>
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So,
</span>
<span>
</span>![V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%5B%5Csqrt%7Br%5E%7B2%7D-x%5E%7B2%7D%7D%5D%5E%7B2%7Ddx)
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</span>
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being -r and r the limits of this integral.
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Solving:
</span>![V=\pi[r^{2}x-\frac{x^{3}}{3}]\right|_{-r}^{r}](https://tex.z-dn.net/?f=V%3D%5Cpi%5Br%5E%7B2%7Dx-%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D%5D%5Cright%7C_%7B-r%7D%5E%7Br%7D)
Finally:
<span>
</span>
<span>
</span><span>
</span>
So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:
</span>
<span>
Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:
</span>
<span>
Isolationg y:
</span>
So,
</span>
</span>
<span>
</span>
being -r and r the limits of this integral.
</span>
<span>
Solving:
</span>
Finally:
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</span>
</span><span>
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