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?
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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 \(4 \pi r^{2} \).]
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