Find the divergence of the vector field V(x, y, z) = −3xi + (y + 4 cos(x))j + (9z+ e5xy) k. (Give an exact answer. Use symbolic notation and fractions where needed.) divV =

For the vector field G = (yey + 4 cos(4x + y))i + (xeªy + cos(4x + y)) ♬ find the line integral of G along the curve C from the origin along the x-axis to the point (4,0) and then counterclockwise around the circumference of the circle x² + y² = 16 to the point (4/√√2,4/√√2). ScĞ·dr = 0 }

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 =