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4 votes
6 answers
693 views

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 ...
Maddy's user avatar
  • 45
0 votes
1 answer
32 views

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,...
Zauberkerl's user avatar
  • 2,022