If/Given that r(t)= (t, t^2, t^3), Find: a) The first derivative: r'(t) b) The unit...

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If/Given that → r(t)= (t, t^2, t^3), Find: a) The first derivative: r'(t) b) The unit tangent vector: T(t) c) The unit tangent vector when (t = 1): T(1) d) The second derivative: r"(t) X e) The cross product: r(t) x r"(t) f) The dot product: '(t)."(t) If/Given that → r(t)= (t, t^2, t^3), Find: a) The first derivative: r'(t) b) The unit tangent vector: T(t) c) The unit tangent vector when (t = 1): T(1) d) The second derivative: r"(t) X e) The cross product: r(t) x r"(t) f) The dot product: '(t)."(t)