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Let f(x. y, z) = x + yz and let C be the line segment from P = (0,0. 0) to (l 1.4,4). (a) Calculate f(1'(t)) and d3 = ||I"(t)|| dr for the parameterization r(r) = (111.41.41) for 0 g t 5 1. (Use symbolic notation and fractions where needed.) (b) Evaluate ft. f(x, y, z) (is. (Use decimal notation. Give your answer to three decimal places.) {I Compute the integral of the scalar function f{x, y, z) = 4):); + 3z over r(t) = (cos (r), sin (t), r} for 0 it I :1 2:. (Express numbers in exact form. Use symbolic notation and fractions where needed.) [I Compute j; F - (it. where F(x, y) = (7 + 27x2, 3xy2) and C is a line segment from (0,0) to (1,2). (Use symbolic notation and fractions where needed.) Compute f, F - dr, where F(x, y) 2 4y , 8x and C is a circle of radius 16 with center at the origin L (AW MN oriented counterclockwise. (Use symbolic notation and fractions where needed.)