Mathematics - Calculus - Multivariable - Vector calculus - Vector Calculus Computations

8 problems: (1-2) Compute div and curl of F=(x²y, xyz, z²). (3) Verify a field is conservative (curl=0) and find potential function. (4) Line integral: ∫_C F·dr along given path. (5) Apply Green's theorem to evaluate a line integral. (6) Compute surface integral over a plane. (7) Use divergence theo