Question: Calculate the exact value of the flux

of the vector field

across the surface \(S\) in the case where \(S\) is

(b) the surface \(\boldsymbol{r}=u \cos (v) \mathrm{i}+u \sin (v) \mathrm{j}+v \mathrm{k}, \quad 0 \leq u \leq 1,0 \leq v \leq \frac{1}{2} \pi\)

(which is a helicoid, sketched below), thus confirming that the correct answers are a small positive integer and an irrational number between \(\frac{1}{21} \pi\) and \(\frac{1}{20} \pi\). In each case, assume that \(S\) is oriented positively upwards.

Price: $2.99

Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document