Two large airship hangars were built in Orly, France, in the early 1900 ' s but were destroyed in World War II by American aircraft. The hangars were 175 m in length, 90 m wide, and 60 m high and were formed by a series of parabolic arches. a. Set up a coordinate system with 0 , 0 at the vertex of one of the arches and write an equation of the parabola. b. What is the focal length of an arch?
Two large airship hangars were built in Orly, France, in the early 1900 ' s but were destroyed in World War II by American aircraft. The hangars were 175 m in length, 90 m wide, and 60 m high and were formed by a series of parabolic arches. a. Set up a coordinate system with 0 , 0 at the vertex of one of the arches and write an equation of the parabola. b. What is the focal length of an arch?
Solution Summary: The author calculates the equation of the parabola and sets up a coordinate system with (0,0) at the vertex of one of its arches.
Two large airship hangars were built in Orly, France, in the early
1900
'
s
but were destroyed in World War II by American aircraft. The hangars were
175
m
in length,
90
m
wide, and
60
m
high and were formed by a series of parabolic arches.
a. Set up a coordinate system with
0
,
0
at the vertex of one of the arches and write an equation of the parabola.
b. What is the focal length of an arch?
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Only 100% sure experts solve it correct complete solutions ok
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
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Finding The Focus and Directrix of a Parabola - Conic Sections; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=KYgmOTLbuqE;License: Standard YouTube License, CC-BY