Consider the following. (1, 0, 1) 1 (0, 0, 0) (1, 0, 0), x (1, 1, 1) (a) Find a piecewise smooth parametrization of the path C shown in the figure. (0, 0, 0) to (1, 0, 0) r(t) = ti 0 ≤ t≤ 1 (1, 0, 0) to (1, 0, 1) r(t) = i+ tk 0 ≤t ≤ 1 (1, 0, 1) to (1, 1, 1) r(t) = i + tj + k 0 ≤ t≤1 (b) Evaluate 16x + y² z) ds. -z) ×

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