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The Minkowski plane is defined by a rectilinear metric as follows:
For points (a,b)(a, b)(a,b) and (m,n)(m, n)(m,n), the distance between these points is
d((a,b);(m,n))=∣m−a∣+∣n−b∣d((a,b);(m,n))=|m-a|+|n-b|d((a,b);(m,n))=∣m−a∣+∣n−b∣
What is the length of the arc of f(x)=x2f(x)=x^2f(x)=x2 from x=−1x=-1x=−1 to x=1x=1x=1 in this metric?
Notation: ∣⋅∣ | \cdot | ∣⋅∣ denotes the absolute value function.
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