A tunnel has vertical sides of 7 ft with a semielliptical top. The width of the tunnel is 10 ft, and the height at the top is 10 ft. a. Write an equation of the semiellipse. For convenience, place the coordinate system with 0 , 0 at the center of the ellipse. b. To construct the tunnel, an engineer needs to find the location of the foci. How far from the center are the foci?
A tunnel has vertical sides of 7 ft with a semielliptical top. The width of the tunnel is 10 ft, and the height at the top is 10 ft. a. Write an equation of the semiellipse. For convenience, place the coordinate system with 0 , 0 at the center of the ellipse. b. To construct the tunnel, an engineer needs to find the location of the foci. How far from the center are the foci?
Solution Summary: The author explains the standard equation of an ellipse, which is given by the formula x2a2,&b=1.
A tunnel has vertical sides of
7
ft with a semielliptical top. The width of the tunnel is
10
ft, and the height at the top is
10
ft.
a. Write an equation of the semiellipse. For convenience, place the coordinate system with
0
,
0
at the center of the ellipse.
b. To construct the tunnel, an engineer needs to find the location of the foci. How far from the center are the foci?
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.
Good Day,
Kindly assist me with the following query. Any assistance would be appreciated.
Can u give rough map of any room u can choose cm on top
3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
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