Question

3.25Use the appropriate expression for the differential surface area ds to determine the area of each of the following surfaces: \text { (a) } r=3 ; 0 \leq \phi \leq

\pi / 3 ;-2 \leq z \leq 2 \text { (b) } 2 \leq r \leq 5 ; \pi / 2 \leq \phi \leq \pi ; z=0 \text { (c) } 2 \leq r \leq 5 ; \phi=\pi / 4 ;-2 \leq z \leq 2 \text { (d) } R=2 ; 0 \leq \theta \leq \pi / 3 ; 0 \leq \phi \leq \pi \text { (e) } 0 \leq R \leq 5 ; \theta=\pi / 3 ; 0 \leq \phi \leq 2 \pi

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