Determine the line integral along the curve C from A to B. Find the parametric form of the curve C. Use the vector field: F= bxi-cyj Use the following values: a=2; b=1; and c=2. y B 0 a Selected Answer: 12 Correct Answer: -6.00 ± 3% C A X Prove that F is a gradient field and determine the work of F to go from point A: (0, 2, 1) to point B: (4, 4, 5) along any trajectory. F= [2x 4y 9z²] Selected Answer: -407 Correct Answer: 412.00 ± 3% Prove that F is a gradient field and determine the work of F to go from point A: (3, 2, 1) to point B: (3, 3, 3) along any trajectory. F=[y+z² x 2xz] Selected Answer: -54 Correct Answer: 27.00 ± 3% Determine the line integral along the curve C from A to B. Find the parametric form of the curve C. Use the vector field: F=by i-cxj Use the following values: a=3; b=1; and c=5. B y C a 0 A X Selected Answer: Correct Answer: [None Given] -84.82 ± 3%