The following table gives the perceived temperature in degre…

The following table gives the perceived temperature in degrees Fahrenheit given the measured temperature (\(^\circ F\)) and wind speed (mph). What is the approximate rate of change in perceived temperature if the measured temperature says at \(30^\circ\) F and the wind changes from 15 to 20 mph?

Compute the surface area of the surface given by the paramet…

Compute the surface area of the surface given by the parametrization: \({\bf r}(u,v)=\langle 2\cos u\sin v, 2\sin u\sin v, 2\cos v \rangle \quad 0\leq u\leq 2\pi\quad 0\leq v \leq \frac{\pi}{2}\) [Hint: The Surface area of a sphere of radius \(r \) is  \(4 \pi r^{2} \).]