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General solutions of $ \sin (A) = \sin (B)$
In my text book it is directly stated that the general solution of the equation $ \sin (A) = \sin (B)$ , is $ A = 2n\pi + B$ and $A = (2n +1)\pi - B$ but ...
Apr 17, 2026
Archive: News
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Derivative of total revenue
I have a maths related question and I was hoping that you could help me out. I'm trying to understand why, when differentiating the total revenue fun...
Apr 17, 2026
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Rewriting $2x^2-12x+11$ by completing the square
I want to rewrite $2x^2-12x+11$ in square form. According to my book, the answer is $2(x-3)^2-7$. However, I get $2(x-3)^2+2$ for some reason. My Steps: $...
Apr 17, 2026
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Motivation of Splines
What is the motivation of splines, in particular cubic splines. For example, why does it matter that they have any type of smoothness at the knots.
Apr 17, 2026
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Is Addition Defined for Nominal Numbers?
A nominal number is a symbol of a number used for naming. Wikipedia defines it as a " a one-to-one and onto function from a set of objects being named to ...
Apr 17, 2026
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Integrating $e^{f(x)}$
can someone tell me a way of integrating functions like $e^{f(x)}$ I have a specific case: $\int e^{-3x}\,\mathrm{d}x$ PS: I'm not looking for the an...
Apr 17, 2026
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the converse of Pythagoras Theorem
Is it possible to prove the converse of the Pythagoras theorem with out a geometric proof?.That is from $a^2+b^2=c^2$ to $\Theta=90^\circ$
Apr 17, 2026
![I don't see the pattern.. does anyone understand this..? [duplicate]](https://news.conceivablytech.com/uploads/i-don-039-t-see-the-pattern-does-anyone-understand-this-duplicate_720.jpg)
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I don't see the pattern.. does anyone understand this..? [duplicate]
Note.. the numbers are actually in a 7 x 6 grid.. graphics did not show here.. What is the number in the * cell? 88 63 25 9 16 24 ...
Apr 17, 2026
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Justify the small angle approximation for tangent
Assume that angle $x$ is small, using small angle approximation, $\sin(x)=x$; $\cos(x)=1-\frac{x^2}{2}$; and $\tan(x)=x$. I am able to justify the first t...
Apr 16, 2026
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Probability related toin coss
Two coins are tossed independently where P(head occurs when coin i is tossed) = $p_i$ , $i = 1, 2$. Given that at least one head has occurred, the probabi...
Apr 16, 2026
