Reputation
921
Next privilege 1,000 Rep.
Create new tags
Badges
3 8
Newest
 Nice Answer
Impact
~13k people reached

4h
comment Can two perfect squares average to a third perfect square?
I think the sequence 1, 10, 100, 1000, ... does what your edit says you want. I'll delete this comment if I've made a dumb mistake ...
1d
answered Which are the operations used in mathematics?
1d
comment What can be said about $f''$ if the trapezoidal approximation is always an overestimate?
Hint: try drawing a picture when every trapezoidal approximation is too large.
2d
comment How many dice would I need to get an $n$ of a kind 100% of the time?
If you think through the answer for $n=3$ you might be able to see the general case.
2d
comment Understanding derivatives
Hint. If you know how to expand $(x+h)^n$ you can use the formula you found on the internet to help with your understanding. If you don't know that expansion in general you can do it for $n=2$ and $n=3$. In fact that's @Joel 's answer below.
2d
comment Finding the equation of a circle through 3 points under given conditions.
Hint. $ACB$ is a right triangle with right angle at $C$ and hypotenuse $2\sqrt{2}$. The rest of the data tell you something more about that triangle. Can you draw a picture?
2d
comment Area of an ellipse.
Think geometrically. You've stretched the $x$ axis and shrunk the $y$ axis.
May
26
comment Find parametric line between two 2D line segments that is an exact distance from a point
I agree that if the value of $t$ must be the same then there is at most one answer. There may still be none. Try writing the equation of the tangent to the circle from $ab(t)$, then finding the value of "$t$" for the intersection with $cd$. As $t$ increases from $0$ to $1$ the corresponding value on $cd$ (when it exists) will decrease.
May
25
comment Find parametric line between two 2D line segments that is an exact distance from a point
I think there are many such segments for this picture., so many values of $t$. Draw a circle of radius $L$ about $P$ and use any tangent to the circle that meets both $ab$ and $cd$. There are cases in which there are no such segments.
May
25
comment Computing irrational numbers
@bnosnehpets I'd like to leave it as a puzzle rather than providing an answer. Here's a hint. I added 41/29 to the list. There's a simple way to find the next numerator and denominator from the current numerator and denominator. (The denominator is a little easier.)
May
25
revised Computing irrational numbers
added 7 characters in body
May
25
revised Computing irrational numbers
added material
May
24
answered SAT Maths Question About Fractions
May
24
comment How to determine whether a set is a vector space or not?
Whoever wrote that memo made a mistake. You will be doing fellow students a favor If you can point that out politely and have it corrected.
May
24
comment How to determine whether a set is a vector space or not?
In several comments you say something like "the answer says 1 is a vector space". It's not, as several people have pointed out. Can you provide a source for "the answer" so we can study it?
May
24
awarded  Nice Answer
May
23
revised Computing irrational numbers
added stuff
May
23
answered Computing irrational numbers
May
23
comment Tangent of a Straight Line
@J.Roberts The definition of "tangent" starts with your intuitive idea. The tangent line "touches the curve just once and doesn't cross it". Then you have to make that definition precise - using the idea of the derivative of a function at a point. It can then happen that the precise definition covers more cases than your intuitive idea. If you're a research mathematician you can decide whether to try a different definition. As a student, you're stuck with the one that mathematicians have found the most useful.
May
21
comment Finding Extrema of $f(x,y)=x^4+y^4-4xy$
What have you tried so far? Looking directly on the boundary? Differentiation?