![Understanding of sine; opposite divide by hypotenuse [closed]](https://news.conceivablytech.com/uploads/understanding-of-sine-opposite-divide-by-hypotenuse-closed_720.jpg)
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Understanding of sine; opposite divide by hypotenuse [closed]
I am just trying to understand sine. I know how it works, but I don't know why it works that way. What exactly is result of $\frac{opposite(height)}{...
Apr 20, 2026
Archive: News
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Tough integrals that can be easily beaten by using simple techniques
This question is just idle curiosity. Today I find that an integral problem can be easily evaluated by using simple techniques like my answer to evaluate ...
Apr 20, 2026
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What are the dimensions of the product of two matrices?
A simple question is a (5x2)*(2x5) = a (5x5) matrix?
Apr 20, 2026
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Reading equations: Upside down A
what does this equation mean? I´m really bad in reading those, so if somebody explained it, I would really appreciate. $f_i(x,y)\ge 0\quad\forall i\{0,1,2\}$
Apr 20, 2026
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What are the differences between an Hyperbola and an Ellipse?
I was observing the standard equations of a parabola and an ellipse, and I realised that both equations are very similar but they have different signs. Wh...
Apr 20, 2026
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What is the intuitive meaning of the basis of a vector space and the span?
The formal definition of basis is: A basis of a vector space $V$ is defined as a subset $v_1, v_2, . . . , v_n$ of vectors in that are linearly independen...
Apr 20, 2026
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Limit at negative infinity of a function with a radical
$$\lim_{x \to -∞}{\sqrt{x^2 -x} + x}.$$ First I rationalized, to get $$\frac{x^2-x-x^2}{\sqrt{x^2-x}-x}$$ Then I wanted to factor the whole thing by the l...
Apr 20, 2026
![How does it equal -1/12? [duplicate]](https://news.conceivablytech.com/uploads/how-does-it-equal-1-12-duplicate_720.jpg)
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How does it equal -1/12? [duplicate]
So all my friends keep telling me that if you add up all the numbers from 1 to infinity, (1+2+3+4...) then the answer is -1/12. They showed me this proof ...
Apr 20, 2026
![How to calculate covariance of X and Y [closed]](https://news.conceivablytech.com/uploads/how-to-calculate-covariance-of-x-and-y-closed_720.jpg)
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How to calculate covariance of X and Y [closed]
There are two random variables X and Y which take on value {-1,0,1} and have the following joint distribution How can i calculate Covariance and Correlati...
Apr 20, 2026
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Volume inside an ellipsoid and offset cylinder
I want to find the volume of the region inside the ellipsoid $$\frac{x^2}{4}+\frac{y^2}{4}+z^2=1$$ and the cylinder $$x^2+(y-1)^2=1$$ I tried shifting the...
Apr 20, 2026
