How can a "proper" function have a vertical slope?
Plotting the function $f(x)=x^{1/3}$ defined for any real number $x$ gives us: Since $f$ is a function, for any given $x$ value it maps to a single y valu...
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Plotting the function $f(x)=x^{1/3}$ defined for any real number $x$ gives us: Since $f$ is a function, for any given $x$ value it maps to a single y valu...
I have a terrible hand-writing and I'm very good at typing, so I had an idea about taking my math lecture notes using a computer. I've tried usi...
Let A , B and C be 3 points of a circle (c) P is the intersection of two tangents of the circle in points B and C Let (AB)//(CP) and AB=3 and BP=4 What is...
I was in geometry class today when I came across the following formula for the external angle of a regular polygon with n sides: $$Ea = \frac{360ยบ}{n}$$ S...
I want to view what the graph of, for example, $x=\sin t,\quad y = \sin(10t)$ looks like, but not as a static graph $\ y=f(x),\ $ but rather one where we ...
The question is "Show that the solution of the equation $x^5-2x^3-3=0$ are all less than 2." I have attempted to answer this question using proo...
Trying to derive a trigonometric function, Wolfram Alpha and my textbook provide two different answers. Here is the function: $$y = {\cot x\over (1+\csc x...
So I want to find all antiderivaties of $\frac{x}{x^3-1}$ Since the denominator is of a lesser degree than the numerator, partial fraction is to be used i...
I am new in Topos theory. I have actually just started learning. I am reading MacLane-Moerdijk's book, as it was suggested to me as the best introduc...
this is a problem from practice exam FM that I am studying for: A 20-year loan of 1000 is repaid with payments at the end of each year. Each of the first ...