A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=49. What is the area of the largest reactangle that the student can draw?

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: The vertical ends of a cylindrical tank are in the form of ellipses with major and minor axes of…

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Q: An arch in the form of a semi-ellipse is 50 feet wide at the base and has a height of 16 feet. How…

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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…

Q: A racetrack is in the shape of an ellipse 80 feet long and 60 feet wide. What is the width 32 feet…

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

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Q: Find the area of the general equation of the ellipse .

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Q: Two friends visit a whispering gallery (in the shape of a semiellipsoid) where they stand 100m apart…

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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: 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…

Q: Rotate the ellipse =1 around the x -axis to approximate the volume of a football, as seen here.

A: To determine the volume of  that rotated about the x-axis. Given, The given curve is ellipse.…

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: Find the area of the largest rectangle that can be inscribed in the ellipse b2

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Q: The cables of the middle part of a suspension bridge are in the form of a parabola, and the towers…

A: Explained below

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

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Q: the area of the ellipse 9x^2 + 8y^2 = 72 answer: 26.7

A: To Find: Area of the ellipse  9x2+8y2=72

Q: Find the perimeter of the ellipse x2/a2 +y2/b2 = 1, where a > b > 0.

A: The perimeter of Ellipse with Radii a and b is given by: In our question the radii is a and b Hence…

Q: .כ Find the ared of a parabola which is inscribed in a rectangle 40 cm long and 25 cm wide.

A: We know are of parabola is( 2/3) ×b×h Where b is base of parabola and h is height of parabola.

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: The area of the ellipse is given as A = ab. Find the area of the ellipse 25x² +16y² - 100x + 32y =…

A: given equation of ellispe 25x2+16y2-100x+32y=284

Q: for the ellipse 4x^(2) +y^(2) +24x -2y +21 = 0, find its area

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Q: A geometry student wants to draw a rectangle inscribed in the ellipse x2+4y2=16x2+4y2=16. What is…

A: Let A=the area of the rectangle x=half the base of the rectangle So, A=2x·216-x22;0≤x≤4   =2x16-x2…

Q: The area of the ellipse of b? 2 + = 1 is 32π. If a=2b, what is the value b2

A: Given that the standard question of ellipse and area of the ellipse is 32(pai) where a=2b  To find…

Q: x² y²=1? What is the area of the ellipse: + 36 16

A: For the calculation of area of ellipse,

Q: A rectangle with sides parallel to the coordinate axes is inscribed in an ellipse (Figure 12a)…

A: Let the length of the rectangle is = 2x  Let the height of the rectangle=2y (as shown in the…

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

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Q: 26. Find the area of the largest rectangle that can be inscribed in the ellipse x²/a² + y°/b² = 1.

A: Topic- application of derivatives to find maximum area

Q: Find the area inside the ellipse x2a2+y2b2=1.

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Q: Find the length, breadth of the rectangular box of maximum area that can be inscribed in the ellipse…

A: The area of a rectangle is Area=Length × Breadth The area is maximum if the second derivative of…

Q: A certain bridge arch is in the shape of half an ellipse 104 feet wide and 32.3 feet high. At what…

A: Given , a certain bridge is in the shape of half an ellipse which is104 feet wide & 32.3 feet…

Q: Find the area of the largest rectangle that can be inscribed in the ellipse x2 1. b2 +

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Q: The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the…

A: Topic  =Geometry

Q: Find the area enclosed by the ellipse b²x² + a²y² = a²b².

A: Let's find the answer.

Q: Convert the equation to the standard from for an ellipse by completing the square on x and y. 4x2 +…

A: To transform the given equation to the standard equation of the ellipse, with center (0,0) , and…

Q: Find the dimensions of a rectangle with a maximum perimeter that can be inscribed in the ellipse 4x…

A: Given ellipse 4x2+9y2=36                ->Equation(1)Let (x,y) be the upper right corner of the…

Q: Find the area of the ellipse given by x2/64+y2/ 4=1. Area =

A: Solution: The objective is to find the area of the ellipse given by x264+y24=1

Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the…

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Q: Find the envelope of the family of ellipses x2a2+y2b2=1 having the same area.

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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: Find the area of the largest rectangle that can be inscribed in the ellipse given by: x² + 4y? = 16

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Q: A carpenter wants to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood. She…

A: to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood.

Q: Find the dimension of the rectangle of maximum area that can be inscribed in the ellipse…

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Q: Find the length of the minor axis of the ellipse 8x2 + 3y2 = 72.

A: Given: 8x2+3y2=72 To Find: The length of the minor axis of the given ellipse

Q: (x-3)? (y+1)² = 1? 16 25

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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: Sothea needs to find the surface area of this regular polygonal pyramid. What answer should she get?

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse  x2/a2 + y2/b2 = 1.

A: Let (x,y) be a vertex of rectangle. Then, length of rectangle = 2x, width = 2y. Then area of…

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…

Q: Find the area of the largest rectangle that can be inscribed in the ellipse 1.

A: To find the area of the largest rectangle