Let \(C, D\), and \(\mathcal{E}\) be the oriented curves in Figure 16, and let \(\mathbf{F}=abla f\) be a gradient vector field such that \(\int_{C} \mathbf{F} \cdot d \mathbf{r}=4\). What are the values of the following integrals?
(a) \(\int_{\mathcal{D}} \mathbf{F} \cdot d \mathbf{r}\)
(b) \(\int_{\mathcal{E}} \mathbf{F} \cdot d \mathbf{r}\)

y P C D E Q