A one-way tunnel has the shape of a semi ellipse that is 12ft high at the center and 28H across. a. Will a truck that is 8ft across and 10ft high be able to pass through the tunnel? b. Suppose the road under the tunnel has two lanes, and the truck is allowed to pass through only lane. Will it still be able to pass through the tunnel?

Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

A: given: A one way road passes under an overpass in the shape of half an ellipse, 25 ft high at the…

Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

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Q: In the equation 4x^2 + 9y^2 − 24x + 36y + 36 = 0 of an Ellipse, what is the Center, Foci, Major nad…

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Q: Let a > 0 and b > 0. Show that the area of the ellipse x2/ a2 + y2/ b2 = 1 is ab

A: Given that, The equation of the ellipse  x2/ a2 + y2/ b2 = 1 , where a > 0 and b > 0. Solve…

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A: Let's find.

Q: 7. Find the dimensions of the largest rectangle that can be inscribed in the ellipse 9x? + 16y2 =…

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Q: Show that if P is a point on an ellipse with foci F1 and F2, directrices d1 and d2 and eccentricity…

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Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…

A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…

Q: 27. Find the points on the ellipse 4x? + y? away from the point (1, 0).enigsmuo 4 that are farthest…

A: Given: The equation of ellipse is given as, 4x2+y2=4. The objective is to find the point x,y on the…

Q: If AB is a double ordinate of the hyperbola *- y =1 such b? a* that AOAB (O is the origin) is an…

A: Introduction :

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

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A: Since foci lie on y-axis, so the ellipse is of type where (h,k) is center of ellipse and 2a is…

Q: 61. Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

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Q: 57. Use a change of variables to prove that the area of the ellipse with equation (-) + ) : -1 is…

A: Explanation: Given that, the standard equation of the ellipse is: x2a2+y2b2=1 Solve for…

Q: Find the dimensions of the largest rectangle that can be inscribed in the ellipse 9x² + 16y² = 144.…

A: 9x2+16y2=1449x2144+16y2144=1x216+y29=1x242+y232=1it is in the form of ellipse…

Q: Given an ellipse whose semi-major axis is 6 cm and semi-minor axis is 3 cm. What is the volume…

A: Explained below

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Q: 1. Find the dimensions of the rectangle of maximum area, with sides parallel to the -1 16 coordinate…

A: Given ellipse is  x2144+y216=1 We need to find the dimensions of the rectangle of maximum area with…

Q: Find the dimensions of the largest rectangle with sides parallel to the axes that can be inscribed…

A: Let the dimension of such a rectangle be 2x by 2y. Clearly (x, y) is point on the ellipse.

Q: 3. What is the area of the largest rectangle that ca be inscribed inside the ellipse given by the 22…

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Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: It is given that The cross-section is a parabola. Let the vertex of the parabola be at the origin of…

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: A searchlight is shaped like a paraboloid of revolution.If the light source is located 2 feet from…

A: draw the parabola used to form the searchlight on a rectangular coordinate system so that the vertex…

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Q: 10. What is the radius of the circle that has an area equal to that of the ellipse+¹=1 64

A: Follow the procedure given below.

Q: Jim and Bob want to exchange secrets from across a crowded whispering gallery. (A whispering gallery…

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Q: 2. Identify the conic as a hyperbola, parabola, or ellipse and find the foci (c) 4x = y? %3D

A: identify the conic and use the equation to find the focus,

Q: Find the shortest distance +rom the point (0,5)to the ellipse 3 y? = x'

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Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem.  We know      Distance (D) = sqrt {(x-x1)2…

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A: If we draw the parabola used to form the mirror on a rectangular coordinate system so that the…

Q: The arch of the bridge below is half an ellipse, a "semi-ellipse". As shown in the figure below, the…

A: Solution : We have given a ellipese which width is 150m and height is 54m. We have to find out a…

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A: As per the company policy i can answer only first question for you,more than that leads me towards…

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Q: . The general form of equation of an ellipse is given by Ax + Cy + Dx + Ey +F = 0, where A and C are…

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Q: The area of the ellipse+: 25² = 1 is 30π. What is the value of a?

A: solution:-we know that the formula of area for an elipsex2a2+y2b2=1Area=πab

Q: A chord is drawn perpendicular to the x-axis on the ellipse 9x2+16y2=144 with the ends of the…

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Q: A flashlight is shaped like a paraboloid, so that if its light bulb is placed at the focus, the…

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Q: Find the standard equation of the ellipse whose foci are F,(-3, 0) and F2(3, 0), such that for any…

A: Given:   Foci : (-3,0) (3,0)    Distance from foci : 10

Q: Find the dimensions of the rectangle of largest perimeter that can be inscribed in the ellipse x2/a2…

A: Let 2x,2y be the length and width of the ellipse that is inscribed in ellipse  Then , perimeter of…

Q: Find the envelope of the family of ellipses x2/a2+y2/b2=1 having the same area.

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Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

A: The base of the window is 44 in The height of window is 60 in From the center at base is 15 inches…

Q: The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid that has…

A: Given, The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid…

Q: The tunnel is semi-ellipse im shape that is 12 feet high at the center and 28 feet across.Will a…

A:

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

A: we know equation of an ellipse is x2a2+y2b2=1here  a is the length of  semi major axis and b is the…

Q: Suppose AABC is inscribed in ellipse 1, and AB passes through point P (1, 0). Find The largest area…

A: Fisrly construct the figure taht is traingle inscrible in an ellipse then calculate the area of…