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For mathematical questions related to the usage of WolframAlpha.
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How do I plot a gigantic function easily on WA?
I need to graph a gigantic function on WA, that has other functions inside it and some constants with preassigned values that come up a lot! For example: W = QbBesselK...., in which Q is an equation ... graphing-functions mathematica wolfram-alpha- 1
How does Wolfram Alpha find polynomial equation of given roots?
I am experimenting with a method which will converge hopefully to a real number, for which I suspect, that it is the root of a polynomial equation. How does Wolfram Alpha find its guess? How does WA ... polynomials roots wolfram-alpha diophantine-approximation sagemath- 507
Proof of equality given by wolfram alpha
By 'playing' with wolfram alpha and entering this sum $$\sum_{n=0}^{+\infty}(-1)^n\left(\frac{1}{1+nx}+\frac{1}{x-1+nx}\right)$$ I found this alternative form that interest me: (since I don't know the ... sequences-and-series functions trigonometry wolfram-alpha- 869
Solve basic system of equations with two unknowns. Why solution doesn't exists? [closed]
The following equation has no solution, but I'm not sure why exactly: $7 = 3x_1 + 5x_2 \\ 13 = (1 - x_1)3 + (1 - x_2)5 + 21$ Code for Wolfram Alpha ... linear-algebra systems-of-equations numerical-linear-algebra wolfram-alpha- 748
Maximum of $\frac{Bx}{x^3 + Rx + P}$
I submitted this function to Wolfram Alpha and similar tools, but none can find for me the symbolic expression for maximum value, unless I give specific values to each parameter: $$\frac{Bx}{x^3 + Rx +... calculus optimization maxima-minima wolfram-alpha online-resources- 171
Numerical error in wolfram
In Wolfram Alpha, we see that $$\sum_{n=0}^\infty\frac{e^{-\pi^2n(n+1)}}{2n+1}=1$$ This is equivalent to $$\sum_{n=1}^\infty\frac{e^{-\pi^2n(n+1)}}{2n+1}=0$$ However, the last sum is impossible since ... sequences-and-series wolfram-alpha numerical-calculus- 7,419
Why is there a term $3.70074\times 10^{-17}x^2$ in this solution?
I was using WolframAlpha to find a polynomial of degree up to $2$ that best fits the points $(-1,2),(0,0),(1,-2),(2,-4)$. The answer I was expecting is $$0x^2-2x+0.$$ However, here is what ... quadratics computational-mathematics wolfram-alpha- 4,865
How to compute $ \sum_{x=y}^\infty \binom{x}{y}((1-p)(1-q))^x$?
Question How do I compute $ \sum_{x=y}^\infty \binom{x}{y} ((1-p)(1-q))^x$? $x,y$ are integers and $p, q \in (0,1)$ Attempt I'm trying to compute this sum to find the mixture of a geometric and ... real-analysis sequences-and-series summation wolfram-alpha- 337
Polar plot is different from rectangular plot
Here is a polar equation $r = \tan(\theta) $. I converted it into the rectangular form. This would be $$ \sqrt{x^2 + y^2} = \frac{y}{x} $$ When I plot both in ... graphing-functions wolfram-alpha- 675
Nonsense matrix multiplication defaults in WolframAlpha
I just realized WolframAlpha arbitrarily decides which way to multiply matrices based on seemingly irrelevant stuff, and I'd like to understand whether the issue is with my knowledge of what's ... matrices inverse wolfram-alpha- 111
Find the maximum value of:$3\sqrt[3]{\dfrac{c^2-3a^2}{6}}-2\sqrt{\dfrac{a^2+b^2+c^2-ab-bc-ca}{3}}$
Let $a,b,c \in R$, find the maximum value of:$$3\sqrt[3]{\dfrac{c^2-3a^2}{6}}-2\sqrt{\dfrac{a^2+b^2+c^2-ab-bc-ca}{3}}$$ I have the solution: $$5a^2+2b^2+c^2-2(ab+bc+ca)=5(a-\frac{b+c}{5})^2+\frac{1}{5}... inequality wolfram-alpha- 83
Restricting Domain in Wolfram Alpha for Nested Quantifiers
Is there a way to restrict the domain to all positive integers when you're using Resolve[] on nested quantifiers in Wolfram Alpha? If so, how? If not but there is ... discrete-mathematics predicate-logic quantifiers wolfram-alpha- 33
Wolfram Alpha wrong Integral
I want to evaluate the following integral: $$\int_{-\infty}^0\frac{R}{\sqrt{x^2+R^2}^3}\mathrm{d}x$$ If I do it with the substitution $x=R\tan(\varphi)$ I get: $$\int_{-\infty}^0\frac{R}{\sqrt{x^2+R^2}... integration wolfram-alpha- 242
Wolfram alpha gives two different answers for $\int^{\infty}_{-\infty} x \frac{1}{\pi} e^{-(\ln(x) - 0.3)^2} | \frac{1}{x}|dx$
So, I'm trying to calculate $$\int^{\infty}_{-\infty} x \frac{1}{\pi} e^{-(\ln(x) - 0.3)^2} \left| \frac{1}{x}\right|dx$$ When I input that into WA, it loads for a bit, then shows this result: Just ... wolfram-alpha- 93
Matrix Power and Power Incorrect in Wolfram Alpha? [closed]
When computing the matrix \begin{bmatrix}1 & -\sqrt{3} \\ \sqrt{3} & 1\end{bmatrix} times its inverse, Wolfram Alpha produces this incorrect result. The same result happens when Power is ... matrices inverse wolfram-alpha- 1
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