Essay
F (x, y, z) = 5xyz i + 5xyz j + 5xyz k. Find the outward flux of the vector field F across the unit cube in the first octant and including the origin as a vertex.
Correct Answer:

Verified
Correct Answer:
Verified
Q12: Let <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB6988/.jpg" alt="Let .
Q13: Use Green's Theorem to evaluate
Q14: Evaluate <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB6988/.jpg" alt=" Evaluate
Q15: Evaluate <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB6988/.jpg" alt=" Evaluate
Q16: Is F(x, y) = 12cos y i
Q18: F(x, y, z) = 4xy i +
Q19: Evaluate the line integral. <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB6988/.jpg" alt="Evaluate
Q20: Determine whether F(x, y) = 4(3 cos
Q21: Use Stokes' Theorem to evaluate
Q22: F(x, y, z) = (4xy - 9)