Questions tagged [wolfram-alpha]

For mathematical questions related to the usage of Wolfram Alpha.

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4
votes
0answers
319 views

How to Create a Lesson Plan with Wolfram Alpha

This will be my first post in this forum. I am so excited to see a lot of interesting posting from the community. From the FAQ, I learned that Mathematics stack exchange discussed about mathematical ...
5
votes
1answer
2k views

Is Wolfram Alpha Wrong? (LU Decomposition)

Ok, I've been working on a matrix solver for a while (no, its not going well, thanks for asking), and just discovered something that worrys me alot; The problem at hand is LU Decomposition of a ...
25
votes
4answers
133k views

How to type logarithms in Wolfram|Alpha?

Its sometimes hard to type it if logarithm is not natural and base is not 10, especially if base is variable. So anyone know rules how to type?
25
votes
7answers
49k views

cubic root of negative numbers

Excuse my lack of knowledge and expertise in math,but to me it would came naturally that the cubic root of $-8$ would be $-2$ since $(-2)^3 = -8$. But when I checked Wolfram Alpha for $\sqrt[3]{-8}$, ...
3
votes
2answers
3k views

limit of $2^n/3^{n/2}$ as $n\to\infty$

$$ \lim\limits_{n\to\infty}\frac{2^n}{3^{\frac{n}{2}}}$$ I used wolfram to get the limit as follows: "lim n tends infinity 2^n/3^(n/2)". And using L'Hospital's rule the result was: $\displaystyle\...
13
votes
2answers
484 views

What is the meaning of a number's “representation” on Wolfram Alpha?

When searching a number on Wolfram Alpha, one of the results is its representation. For example, for 8549: 8549 has the representation 8549 = $5·2^6·3^3-91$. Similarly for 75290: ...
2
votes
2answers
966 views

Comparing integral resolutions using Wolfram Alpha / Mathematica

Equations are in $\LaTeX$ format; I'm still trying to understand how MathJax works. Given the following integral: $\int_0^{+\infty } \frac{1}{x \sqrt{x}} \, dx$ I'm pretty sure that does not ...
0
votes
2answers
226 views

$f(x) = f(x-1)*b \to f(x) = c_1 b^{x-1}$

I'm trying to teach myself mathematics. I only started last year with a previous knowledge of basic arithmetic. I often make a detour into regions featuring problems that are a bit too deep for me. I'...
1
vote
1answer
551 views

Why WolframAlpha is returning only 2 Roots for a Polynomial Equation of 6 Degree ??

I think this is really weird. I want to solve the following equation: $$(2x^2+3x+5)^3+(2x^2+3x+5)^2=0$$ This is a polynomial equation of 6 degrees. It should have 6 roots. But wolframalpha only ...
3
votes
2answers
2k views

Wolfram Alpha: How to show functions with abs() and sgn() as a piecewise function?

I was trying to obtain this result: integrate e^|x| dx The result is $$ \int e^{|x|} dx = \frac12 e^{-x} \left( (e^x-1)^2 \operatorname{sgn}(x) -2e^x +e^{2x} - ...