[ T ] In cartography, Earth is approximated by all oblate spheroid rather than a sphere. The radii at the equator and poles are approximately 3963 mi and 3950 mi, respectively. a. Write the equation in standard form of the ellipsoid that represents the shape of Earth. Assume the center of Earth is at the origin and that the trace formed by plane z = 0 corresponds to the equator. b. Sketch the graph. c. Find the equation of the intersection curve of the surface with plane z = 1000 that is parallel to the x y -plane. The intersection curve is called a parallel. d. Find the equation of the intersection curve of the surface with plane x + y = 0 that passes through the z -axis . The intersection curve is called a meridian.
[ T ] In cartography, Earth is approximated by all oblate spheroid rather than a sphere. The radii at the equator and poles are approximately 3963 mi and 3950 mi, respectively. a. Write the equation in standard form of the ellipsoid that represents the shape of Earth. Assume the center of Earth is at the origin and that the trace formed by plane z = 0 corresponds to the equator. b. Sketch the graph. c. Find the equation of the intersection curve of the surface with plane z = 1000 that is parallel to the x y -plane. The intersection curve is called a parallel. d. Find the equation of the intersection curve of the surface with plane x + y = 0 that passes through the z -axis . The intersection curve is called a meridian.
[
T
]
In cartography, Earth is approximated by all oblate spheroid rather than a sphere. The radii at the equator and poles are approximately
3963
mi and
3950
mi, respectively.
a. Write the equation in standard form of the ellipsoid that represents the shape of Earth. Assume the center of Earth is at the origin and that the trace formed by plane
z
=
0
corresponds to the equator.
b. Sketch the graph.
c. Find the equation of the intersection curve of the surface with plane
z
=
1000
that is parallel to the
x
y
-plane. The intersection curve is called a parallel.
d. Find the equation of the intersection curve of the surface with plane
x
+
y
=
0
that passes through the
z
-axis
.
The intersection curve is called a meridian.
Finite Mathematics & Its Applications (12th Edition)
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