Calculate the divergence of the vector field F (x, y, z) = − 10 sin(2xy)i — cos(x³y)j. (Give an exact answer. Use symbolic notation and fractions where needed.) divF =

Q1.9 Which of the below graphs is of the following vector field? F(x, y) = -xi-yj g -3 -2 -11 D 1 2 3 B e 0 1 с

Q1.8 Which of the below graphs is of the following vector field? F(x, y) = -yi+xj B D H E F

Find the divergence of the vector field V(x, y, z) = −7e*³i – eбxyj + 4e⁹y²k. (Give an exact answer. Use symbolic notation and fractions where needed.) div V =

Find the work W done by the force field F in moving an object along the curve C. F = 12xyi + 9xy²j (-1, 1) y+ - -1 (0, 0) (1, 1) x (Enter an exact asnwer. Use symbolic notation and fractions where needed.) W =

Use the equation giving the flux of the vector field across the curve to calculate the flux of x+1 y (₁. (x + 1)² + y²' (x + 1)² + y² F(x, y): across C, the segment 7 ≤ y ≤ 9 along the y-axis, oriented upwards. (Use symbolic notation and fractions where needed.) [F C = Incorrect F. dr = 0.1074