The first equation is x + y = 29, and the second is 5x + 2y = 100.
Provide the GCF for the monomials 34s^2t and 96st^2.
Answer:
Step-by-step explanation:
1) True. This stems from the fact that the divergence of F is 1, indicating that F is a linear function. The orientation is outward from the surface. Integrating a linear function over a surface with outward orientation leads to the volume enclosed by that surface.
2) True. This is fundamentally what the Divergence theorem states.
3) False. Had F been specified as 3/pi instead of div(F), this claim would have held true.
4) False. The gradient of divergence can vary. The curl of the divergence of a vector function is 0, contradicting the notion of the gradient of divergence being 0.
5) False. While calculating divergence, derivatives are computed for different variables. Since the derivative of constants is 0, both vector functions F and G can contain distinct constant components even when their divergences are equal.
