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8h
answered How fast does a sequence with finite sum go to zero?
Aug
8
comment Determine ellipse from two points and direction vectors at those points
Right, sorry. Spaced out because the points aren't marked in the figure. (Don't do math before caffeine.)
Aug
8
comment Determine ellipse from two points and direction vectors at those points
To see a few of the infinitely many possible ellipses, imagine the ellipse in your picture. Now shrink it to half the size, then push it up until it hits your tangent lines. In fact, any ellipse of any size and orientation can be translocated until it touches those lines in exactly 1 point each. (Better yet, imagine flipping your picture over and dropping an ellipse into the top. It would roll/slide/fall until it rested on tangents against the lines.)
Aug
7
comment Show an equation of a line passing through $P$ and parallel to the line given by $ax+by+c=0$.
If both $a=0$ and $b=0$, then the equation $ax+by+c=0$ reduces to $c=0$, which is not the equation of a line. If $c=0$, then it's the whole plane, because any point $(x,y)$ satisfies it. If $c\neq0$, then it's an empty set of points. Including $a^2 + b^2 \neq 0$ in the question just rules out the case where both are $0$, so that all you're left with are valid linear equations.
Aug
5
answered Proof that for any n-sided polygon P, and any integer m greater than n, there is an m-sided polygon with the same area and perimeter as P?
Jul
21
comment Can you show me where the “1/2” comes from?
+1. The color is a nice touch.
Jul
21
comment probability problem explanation
+1, and thanks for the head's up on my answer. Looks like I misread the OP due to typos. Will probably remove my answer so as not to cause confusion.
Jul
17
awarded  Critic
Jul
11
answered If $\lim\limits_{x \to \infty} f(x) = 1$, can we have function $f(x)$, such that $\int_0^{\infty}f(x)dx$ converges
Jul
10
revised How to create circles and or sections of a circle when the centre is inaccessible
deleted 59 characters in body
Jul
10
answered How to create circles and or sections of a circle when the centre is inaccessible
Jul
3
answered Discrete math induction problem.
Jul
2
comment How to get the numbers that multiplied with $N$ become integers?
Minor nit: Include the assumption $GCF(p,q)=1$, i.e. the fraction ${p}\over{q}$ is in reduced form to ensure $q | N$.
Jun
24
answered How many lines are larger lines made of in a dotted grid?
Jun
19
awarded  Nice Answer
Jun
11
comment Is this question too easy or am I getting it wrong?
I know. I was referring to the phrasing of the title question, "Is this question too easy...". This question is very easy, but from a teaching perspective the objective of such a question is not to be a difficult limit problem, but to catch students using such techniques inappropriately.
Jun
11
comment Is this question too easy or am I getting it wrong?
You seemed surprised at how easy this one was, but the point of problems like this is to impress upon students that techniques for resolving undefined or indeterminate values (like L'hôpital's Rule) can give you the wrong answer if applied in this context.
Jun
11
comment Data Analysis & Probability
Sorry, I can't get into chat right now (firewalled) but I'm really curious about the reasoning behind the numbers in your equation. If you can explain where you got those, it might illuminate specific misconceptions that we could help you correct...
Jun
11
answered Calculating the arc length of a circle segment
Jun
11
answered Understanding claim in Newman and Barkema's Monte Carlo book