Problem 35E

Temperature The given graph shows the temperature T in °F at Davis, CA, on April 18, 2008, between 6 A.M. and 6 P.M.

a. Estimate the rate of temperature change at the times

i) 7 A.M. ii) 9 A.M. iii) 2 P.M. iv) 4 P.M.

b. At what time does the temperature increase most rapidly? Decrease most rapidly? What is the rate for each of those times?

c. Use the graphical technique of Example 3 to graph the derivative of temperature T versus time t.

6 September 2017 Zenith Angle ● Imaginary point directly "above" a particular location, on the imaginary celestial sphere. "Above" means in the vertical direction opposite to the apparent gravitational force at that location. The opposite direction, i.e. the direction in which gravity pulls, is toward the nadir. ● Zenith Angle at NOON is exactly equal to a location’s LATITUDE ○ Z = Latitude of Location - Latitude of Sub-Solar Point ○ March and September 21: ■ Z at noon = Latitude of 0ation - ○ Summer ■ Z at Noon = 3.5 degrees