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Chapter 14: Q. 14 (page 1150)

Considering your answers to Exercises 10–13, what do you conjecture is true or not true about conservative vector fields in the context of the Divergence Theorem?

Short Answer

Expert verified

It can be concluded that the Divergence Theorem is applicable on the conservative vector fields.

Step by step solution

01

Step 1. Given Information

About conservative vector fields in the context of the Divergence Theorem.

02

Step 2. Explanation

The Divergence Theorem can be given as,

$$\int \int_{W}\int div F(x,y,z)dV=\int \int_{S}F(x,y,z) \cdot n dS$$

So, Divernce Theorem applies for the conservative vector fields.

Thus, we conclude that the Divergence Theorem is applicable on the conservative vector fields.

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