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2d
comment How to solve equations to the fourth power?
@AlecTeal In my opinion that is unnecessarily rude. This site is for people of any mathematical ability who may not spot things as easily as you do.
Aug
19
comment Cube root of complex number without trigonometric functions
Please learn Mathjax before posting so we can read the formulas that you write
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]