The Growing Tetrahedron

Calculus Level pending

The vectors \(<3, 2, -1>, <1, 0, 2>,\) and \(<t^2, -t^2, 2t^2>\) define a tetrahedron, where \(t\) is the time elapsed in seconds. In cubic units per second, at what rate does the volume of this tetrahedron changing when \(t = 3\)?

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