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Good day, I have a little doubt: It is well known that given two bases (or even one if we consider the canonical basis) of a vector space, every linear tr...
How many terms of the Maclaurin series of $f (x) = \ln(1 + x)$ are needed to compute $\ln(1.2)$ with an error of at most $0.0001$?
I having problem how to find the differential surface element for a cylinder $x^2+y^2=r^2$ with height $l$. The surface have three parts; top, cylinder an...
Given a non-degenerate triangle ABC and an arbitrary point P in 3D space, I can project P onto the plane defined by ABC and check whether the triangle con...
Two rectangles can overlap in lots of different ways. One can be entirely inside the other (2 variations depending on which is inside which). They can ove...
The fixed point B has position vector $b$ relative to a fixed point $O$. A variable point $M$ has position vector $m$ relative to $O$. Find the locus of M...
The Clockblock Problem - problem and solutions I'm preparing myself for AMC 10 (which I'm sure a lot of other students would be doing too), but ...
I have 6 items and want to know how many combinations are possible in sets of any amount. (no duplicates) e.g. It's possible to have any of the follo...
The Fourier transform of Dirac delta is often naively calculated by considering Delta function as a function that makes sense within an integral and by us...
I understand that the dual graph $G^*$ is really defined for a plane graph $G$, i.e., a graph along with an embedding into $\mathbb{R}^2$, instead of just...
