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.
5. For the function y-x³-3x²-1, use
derivatives to:
(a) determine the intervals of increase and
decrease.
(b) determine the local (relative) maxima and
minima.
(e) determine the intervals of concavity.
(d) determine the points of inflection.
(e) sketch the graph with the above information
indicated on the graph.
Can you solve this 2 question numerical method
1. Estimate the area under the graph of
f(x)-25-x from x=0 to x=5 using 5
approximating rectangles Using:
(A) right endpoints.
(B) left endpoints.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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