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.
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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