[ 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.
Consider a rectangular coordinate system with origin at the center of the earth, z-axis through the North Pole, and x-axis through the
prime-meridian. Find the rectangular coordinates of Bombay, India (19°N, 74°48'E). A minute is 1/60°. Assume the earth is a sphere of
radius R = 6367 km.
The diagram shows a cone and its axis of rotation. Which type of cross section is formed when the cone is intersected by a plane containing
the axis of rotation?
). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from the center.
What is the linear speed (MPH) of the needle in the “lead-in groove”?
What is the linear speed (MPH) of the needle in the “exit groove”?
Find the location of the needle if the linear speed is 1 MPH.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.