What are the foci of the ellipse? (z-2)² (g+1) =D1 49 25 o (2+2V6, 1) o (12v6, 1) o (12/6, - 1) o (2+2V6, 1)

Q: The chords of the ellipse 4x2 + 9y2 = 144 having equal slopes of ¾ are bisected by its diameter.…

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Q: What is the eccentricity of an ellipse 9x2+y2+18x-12y-180=0

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Q: What are the foci of the ellipse? 49 42 O (2+ v7, 1) o (2+ 7, -1) o (tyī, 1) o (12/7, - 1)

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Q: What.conic section is described by the follawing equation 4z +y |8z | 4y=15 K ASperbola D Ellipse…

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Q: Which is the constant sum of an ellipse with foci F,(-2, 3) and F, (5. – 1) and the point on the…

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Q: The plane x+ y+2z =2 intersects the paraboloid z = x2+y² in an ellipse. Find the points on this…

A: Given a plane x+y+2z=2 intersects the paraboloid z=x2+y2 in an ellipse We need to find the points on…

Q: 2. Which equation represents the parabola with focus (1, 4) and latus rectum of 4? Oy = 4(a- 1)2 + 3…

A: Here, the parabola is of the form (x-h)2=4a(y-k) Whose focus is given by (h,k+a)=(1,4) given…

Q: A 2. What are the foci of the ellipse given by + = (z-3) 25 1? %3D O (16, 1) and (-16, 1) O (-4, 1)…

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Q: 20. Which is the equation of an ellipse? a) 25 y² 3D1 16 b) x2 + y2 =1 %3D c) 25 x² y2 =D 1 %3D 16…

A: 20)

Q: The plane x + y + 2z = 30 intersects the paraboloid z = x^2 + y^2 in an ellipse. Find the points on…

A: Given the plane x + y + 2z = 30 intersects the paraboloid z = x^2 + y^2 in an ellipse. We need to…

Q: Parameterize an ellipse which begins at (-3, 3) at t=0 and then passes through (-6, 1), (-3, -1),…

A: First we have to find equation of ellipse in rectangular coordinate.

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: 3 r +6 -을V16-(y-2)2

A: Topic - conics

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: x2 y2 = 1 are 25 The foci of the ellipse with given equation 36 (5, 6) and (-5, 6) (0, - V11) and…

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Q: What is the highest point on the ellipse that is the intersection of the plane x + y + 2z = 2 and…

A: Given  the intersection of the plane x+y+2z=2 and the paraboloid z=x2+y2

Q: 6. What is the equation for the slope of the ellipse+-1 at 1 at (x₁, ₁)? A. B. C. D. E. y' = -21 y'=…

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Q: 3) A large racetrack can be modeled by the ellipse x2 + = 1, where x and y are measured in…

A: An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: I. Directions: ldentify the center of each ellipse. 1. (x+4) 2 16 + (y-3) 24 = 1 Center: 2. (x-4)…

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Q: Pr. #3) 2 dz - 2y dy, C is part of the ellipse 3r + 2y- 6 from (0, v3) to (-V2,0).

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Q: find the perimeter of the ellipse x2/a2 + y2/b2 = 1.

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Q: 26. Find the standard form of the equation of the specified ellipse. Foci: (1, 5), (-3, 5); Major…

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Q: Prove that evolute of the ellipsé x2 y? = 1 a? b2 is (ax)2/3 +(by)2/3 = (a² – b²)²/3. %3D

A: Given equation of the ellipse be x2/a2 + y2/b2 = 1 Write the equation of the ellipse in parametric…

Q: An ellipse has its major axis on the x-axis, center at ( -3, 0 ), one of the vertices at ( -5, 0 )…

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Q: An ellipse or hyperbola uses the general form Ax² + Cy + Dx + Ey + F = 0. Solving for 5 unknowns (A,…

A: Substitute the given points and form four systems of equations then solve using Gaussian elimination…

Q: Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length…

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Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). smaller…

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Q: 2. Which conic section is represented by the équation 2x2 + 4x- y +9 = 0? O Hyperbola Ellipse O…

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Q: Classify the conic section of each equation.  Explain how you made your decision. 13. 4x2 + 3x = y2…

A: Topic = Conic section   The equation of every conic can be written in the following form:   Ax2 +…

Q: Find an equation of the ellipse drawn below, then find its foci. YA Select one: 1 a. (x²/4)-(y²2/9)…

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Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: A surface in space is defined by the equation -4x? + 16y- 8z2 = 0. Which one of these is true? O The…

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Q: Find the lengths of the major and minor axes of the ellipse x2 +4 y2 -8x-32 y =-44 Select one:…

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Q: (-3x) dxtxdy C is part of the ellipse 5x2+6y=30 fromC0,-V5) to cra,O). X,

A: Line integral Given ellipse is  From .

Q: What is the area of the ellipse x² 16 + y² 9 = 1?

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Q: A landscape architect is designing an elliptical pool that will fit in the center of a 20-by-30-…

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Q: 1. What is the equation of this ellipse? 5 -5 --10 = 1 O (#+2)° + (+4)° = 1 81 O -2)° (y–4)° = 1 81…

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Q: 9) For the equation of ellipse below, find centre and foci. 4(y+ 1)² + 7(x – 1)² = 28 Centre (-1,1),…

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Q: What are the equations of the asymptotes of the hyperbola? (z+1)* _ y-3}° (v-3)? 16 25 Enter your…

A: The equation of the given Hyperbola is: (x+1)225-(y-3)216=1

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 +y^2/11^2=1. The…

A: Explained below

Q: What is the length of the minor axis of the ellipse: 5(x+2)2+(y-0.1)2=125? a. 8 units b. 12 units…

A: Given the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125. Let us convert the equation…

Q: Q9: Show that in an ellipse b2 = a² (1 – e? ).

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Q: What is the equation of the directrix of a parabola having vertex at (4, 3) and focus which is 2…

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Q: Write the equation of the hyperbola 25z – 16y + 150z + 64y- 239 = 0 in standard form %3D (2 - h) (y-…

A: Equation of hyperbola 25x2+ 150x-16y2+64y-239= 0 25( x2+6x)-16(y2-4y)= 239…

Q: 5. What is the standard-form equation of the ellipse shown? -2- x2 1 25 %3D 16 1 %3D x2 25 1 16 O x2…

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Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: Evaluate –dz , where C is the ellipse 4x² + 9y? = 1. %3D Yc z2 – 3z+2

A: Given: The equation: ∮C z3 + z + 1z2 - 3z +2dz Here C - ellipse of 4x2 + 9y2 = 1

Q: Find the vertices and foci of the ellipse. x2 + 3y2 + 2x – 6y + 1 = 0 vertices (x, y) = (smaller…

A: Standard form of ellipse x-h2a2+y-k2b2=1 Foci = h±c,k, where c=a2-b2 Vertices = h±a,k

Q: Find the standard form of the equation of the specified ellipse. 28. Foci: (6, 2), (0, 2); Major…

A: We need to find equation of ellipse.