(a) Describe a possible graph of the temperature, T, on an east-west
line through Durango, Colorado, if the origin is at Durango, the
positive x-axis corresponds to east of Durango, and the vertical
z-axis is the temperature. For negative x within a few hundred
miles of the origin, the sign of is
,
while for positive x a few hundred miles from the origin,
the sign of is
.
We estimate that
degrees Fahrenheit.
(b) Describe a possible graph of the temperature, T, on a north-south
line through Des Moines, Iowa, if the origin is at Des Moines, the
positive y-axis corresponds to north of Des Moines, and the vertical
z-axis is the temperature. For negative y within a few hundred
miles of the origin, the sign of is
,
while for positive y a few hundred miles from the origin,
the sign of is
.
We estimate that
degrees Fahrenheit.
You can earn 60% partial credit for 4 - 5 correct answers.