Area Let a > 0 and b > 0. Show that the area of the ellipse x2 y2 = 1 is nab (see figure). a? b2 y x2 y2 = 62 b. а +

Q: 1. (x-3)² + (y - 3)² = 16 2. (x + 1)² + (y-4)² = 25 3. x² + (y + 2)² = 9

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Find center, foci , vertices, asymptotes and radious of 2x? + 2y² – 28x + 12y + 114 = 0

A: Given: 2x2+2y2-28x+12y+114 = 0

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

A: Solve for the

Q: Find the equation of an ellipse which has its minor axis from (0, 0) to (0, 4) and which has its…

A: Find the equation of an ellipse which has its minor axis from (0, 0) to (0, 4), and which has its…

Q: Find the foci of the ellipse. 7² y² + 100 36 = 1 Enter each answer as an ordered pair. If there are…

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Q: What is the area of the conic (x + 3) + y 25

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Q: Area of an ellipse Find the area of the ellipse : 1.

A: The diagrammatic representation is,

Q: Analyze each conic.

A: Given equation is 9x2-y2-18x-8y-88=0. To analyze the conic. Solution: Completing the square of the…

Q: 4. §yʻ dz + 2ry³ dy, where C is the ellipse z + 2y? = 2.

A: To Determine: find the integral  Given: ∮y4dx+2xy3dy where C is the ellipse x2+2y2=2 Explanation: we…

Q: Write the first five terms of the recursively defined sequence. a1 a2 аз a 4 a5 = = = || ။ = a₁ = 6,…

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Q: 6. Find the center of the ellipse with equation 2x² + 3y² + 8x + 6y - 1 = 0 b. (2, -1) а. (2, 1) с.…

A: We will solve the problem.

Q: Analyze each conic.

A: Given : The equation is x-324  -y225 = 1 .

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

A: For the calculation of area of ellipse,

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: Match the ellipsoids shown in the table with the equations. Answer Bank x2 + 2y2 + 2z² = 4 2x2 + 2y?…

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Q: Find the equation of an ellipsoid passing through the points (±4,0,0), (0, 18,0) and (0, 0, ±14).…

A: The equation of the ellipsoid is:x2a2+y2b2+z2c2=1 We have given the ellipsoid passing through the…

Q: 10. Show that the ellipse and hyperbola, */*+2=1, 3 intersect at right angles.

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Q: Find the equation of the hyperboloid shown in the figure, B Z where a = 8, b = 10, A = 32, B = 40, Z…

A: Answer given below.

Q: x² 6. Find the area of the largest rectangle that can be inscribed in the ellipse =1. 9. 4 Hint: Use…

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Q: 3. A football is in the shape of a solid obtained by rotating an ellipse = 1 about its major axis.…

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Q: Classify and sketch the surface 12x? – 3y? + 4z? = 12 What are the 3 traces? Show equations of the…

A: A quadratic surface is a hypersurface. It is nothing but the generalization of a conic section in…

Q: 5. A highway overpass is in the shape of half an ellipse with the base 200 feet wide. The highway is…

A:

Q: A company that sells copier machines has collected data from 45 recent calls on users to perform…

A: Given that,  X = number of copiers serviced, Y = total number of minutes spent by service person,X¯…