(Generic pun involving the second word of "latus rectum")

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The latus rectum of a conic is the chord through the conic's focus and parallel to the conic's directrix.

What is the plural of "latus rectum"?

$\textbf{1)}\text{ latus rectii}\\ \textbf{2)}\text{ latus rectums}\\ \textbf{3)}\text{ latii rectums}\\ \textbf{4)}\text{ latera recta}$

3 4 1 2

1 solution

Trevor B.
Jan 4, 2014

The answer to this question can be found by calculating this simple integral. $\int_0^{4\sqrt[3]{3}} \dfrac{x^2}{16}\text{ }dx$ This is a simple polynomial antidifferentiation. $\int\dfrac{x^2}{16}\text{ }dx=\dfrac{x^3}{48}+C\Rightarrow\int_0^{4\sqrt[3]{3}} \dfrac{x^2}{16}\text{ }dx=\left[\dfrac{x^3}{48}\right]^{4\sqrt[3]{3}}_0=\dfrac{(4\sqrt[3]{3})^3}{48}=\dfrac{192}{48}=4$

Still don't believe me? Look where the directrix of $y=\dfrac{x^2}{16}$ is. It's on the line $y=4\text{!}$

So, using this logic, we can see that the answer is $\boxed{4}$

In all seriousness, this is just a general knowledge question. You can find the plural of "latus rectum" here .

Trevor B. - 7 years, 5 months ago

(Generic pun involving the second word of "latus rectum")

1 solution

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