Let f (x, y, z) = x + yz and let C be the line segment from P = (0, 0, 0) to (8, 6, 6). (a) Calculate f (r (t)) and ds ||r' (t) || dt for the parameterization r(t) = (41², 312, 31²) for 0 < t ≤ √2. (Use symbolic notation and fractions where needed.) f(r (t)) = ds = (b) Evaluate f f (x, y, z) ds. (Use decimal notation. Give your answer to three decimal places.) [ f (x, y, z) ds = dt

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