Question

Let C ⊂R3 be the parametrized curve X(t) = (√2t, (2/3)t^(3/2), (2/3)t^(3/2) ), t ∈ [0,1]....

Let C ⊂R3 be the parametrized curve X(t) = (√2t, (2/3)t^(3/2), (2/3)t^(3/2) ), t ∈ [0,1].

(1) Compute the total length of C.

(2) Compute the curvature of C.

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