Figure below shows an object that conforms to the cartesian coordinate system and it is defined by x = 2 → 5, y = 2 → 5, z = 0 → 2 . A field in this space is given as A = x2 yzxˆ + 2×2 yzyˆ + 3×2 yzzˆ

Figure below shows an object that conforms to the cartesian coordinate system and it is defined by x = 2 → 5, y = 2 → 5, z = 0 → 2 . A field in this space is given as A = x2 yzxˆ + 2×2 yzyˆ + 3×2 yzzˆ

Problem [5] <20 points>
Calculate C = L Adl on the given path enclosing the top surface. Rotate in the counter-clockwise direction. Problem [6] <20 points>
Calculate D = s A  ds on the top surface.
Problem [7] <15 points bonus>
Calculate F = v (G)dv on the volume, where G = yˆ (A yˆ).