How can I solve this? Should I set the two points as $a^4-4a^3$ and $b^4-4b^3$?

I have just started studying calculus for the first time, and here I see something called a tangent. They say, a tangent is a line that cuts a curve at exactly one point. But there are a lot of lines that can cut the same point just like shown in the picture- WHY aren’t we […]

I’ve been playing the game Euclidea 3, and I can’t really wrap my mind around one of the minimal solutions: The object is to get a tangent line on right of the blue circle with only 3 operations. The minimum solution involves only 2 compass operations (shown above as the gray circles) and the final […]

Intereting Posts

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Arithmetic mean of positive integers less than an integer $N$ and co-prime with $N$.
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What is the result of infinity minus infinity?
Why do we care about dual spaces?
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