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Jul
5
comment How to calculate $\int \frac{\sin x}{\tan x+\cos x} \, dx$
I'd probably try splitting it into partial fractions
Jun
28
comment Question about logarithmic eqations
It doesn't have a solution in terms of elementary functions, you need to use the Lambert W function
Jun
23
comment Why does $\cos(x) + \cos(y) - \cos(x + y) = 0$ look like an ellipse?
Completely unrelated, but that is one of the coolest graphs I've ever seen
Jun
22
comment Integrating $\frac{1}{1+e^x}$
Thanks for the answer, I can see the solution now. However I would appreciate it if you could explain why my working doesn't work. I can't see the mathematical issue with it
Jun
13
comment Vector proof with two right angled triangles
@RoryDaulton I think so. When I attempted the question I drew a diagram and the way I drew it resulted in a rectangle with diagonal $AB$, so I think the right angles are at $P$ and $Q$
Jun
8
comment Prove that $\sum_{n=1}^{\infty} (-1)^n\frac{n}{n+1}$ diverges
Remember that even if the limit is 0 it doesn't necessarily mean the series converges. Think of $\sum_{n=1}^\infty \frac{1}{n}$
May
18
comment Integral giving wrong values
$-2+ \frac 34 \ne -\frac 34$
May
13
comment Prove that the normal to a quadratic curve passes through a specific point
@SufyanNaeem If you want to be pedantic, I'll change my wording
May
13
comment Prove that the normal to a quadratic curve passes through a specific point
Looking at that graph using a graphing calculator leads me to believe that you are correct and the question is wrong.
May
13
comment Inductive proof that every term is a sequence is divisible by 16
See Henry's answer. I must use induction.
May
13
comment Inductive proof that every term is a sequence is divisible by 16
Oh that's why they used 5! This makes a lot more sense now, thank you for your answer :)
May
13
comment Inductive proof that every term is a sequence is divisible by 16
I have to prove it by induction, this question comes from an exercise in my maths book about induction.
May
13
comment Inductive proof that every term is a sequence is divisible by 16
So does that mean the proof by induction could be completed with any number, not just 5? I thought it could only be 5 since the question specified to use that expression
May
13
comment Inductive proof that every term is a sequence is divisible by 16
As far as I can tell you didn't read my question
May
12
comment What exactly IS a square root?
To answer the second part, calculators use the general binomial theorem which generates a converging infinite series that the calculator then uses to get the root to a given number of decimal places
Apr
22
comment Irrationality of $\pi$ and circumference to diameter ratio.
A better way to write that sum would be $\sum_1^{\infty} \frac {4(-1)^r }{2r-1}$
Apr
20
comment Probability of success in $n$ trials
3. It would make it easier to learn what you are doing wrong and how to improve your asking/answering technique, which would improve the overall quality of posts on the site. What do you think of our proposal?
Apr
20
comment Probability of success in $n$ trials
obvious whether a post is good quality or not. On this site however questions and answers can be somewhat subjective in quality, usually because there are multiple different methods to solving a problem. Therefore, we would suggest that someone who has downvoted an answer must leave a comment at the same time. This would have three advantages : 1. You can make an inquiry as to your downvote. 2. It would not be so lightly and inaccurately voted down, because everybody can see which users have voted down. [cont]
Apr
20
comment Probability of success in $n$ trials
Tone and content looks good but I have some grammatical corrections and a couple of extra additions (I assume English isn't your first language): imulsion and I have seen many times before that responses have been voted down by multiple individuals even though they were mathematically correct - usually without leaving a comment. [insert sources etc here] It is therefore impossible to ask the voter why he has decided that the question is not fit for the site's format - as they cannot be identified from votes alone.On other SE sites this isn't really a problem - it is usually fairly [cont]
Apr
19
comment Simple Logarithmic question.
@Faust7 do you not have access to a calculator? Or is it a non-calculator exercise? You might be able to leave the answer as $\frac{\ln 24}{\ln 9}$ as the decimal is not exact