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Is $x^3$ really an increasing function for all intervals?
I had an argument with my maths teacher today...
He says, along with another classmate of mine that $x^3$ is increasing for all intervals. I argue that it isn't.
If we look at conditions for ...
0
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1
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The shortest route of an amphibian vehicle
Let be the x axis the coast.
The speed of an amphibian vehicle in the upper half-plane (land) is $v_{1}$ and in the under half-plane (sea) is $v_{2}$ and $v_{2}<v_{1}$.
From the starting point (1,...