Find the center of the ellipse with the equation 49 (x-3)2 (y-2)? 64 1. ||

Q: Find equations of the osculating circles of the ellipse 4x2 + 9y2 = 36 at the points (3, 0) and (0,…

A: Concept- we can find equation of oscillating circle with the help of parametric equation.

Q: 3. Find the coordinates of the foci of the ellipse given by the equation 4x² + y? = 64. O (0, 4v3)…

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Q: Find the equation of tangent lines to the ellipse parallel to the line y =3. The equation of ellipse…

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

A: Use the property of ellipse center and major and minor axis.

Q: What is the center of the ellipse? (r-2) 49 6+1) = 1 25 o (-2,-1) o (-2, 1) o (2,-1) o (2, 1)

A: As we know that the standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where: center is at h,ka,b…

Q: 59.) Classify the equation as a circle, parabola, ellipse, or hyperbola. 16x -9y +32x+54y-209%30…

A: We have to classify

Q: What is the equation of the ellipse shown in the graph? y 67 +►X -10 8 -6 -4 -2 0 -2+ 2 4 6 8 10 -44…

A: Major axis: The longest diameter of an ellipse is known as the major axis. It extends from one side…

Q: 7. Write the equation of the ellipse with a minor axis length of 8 units and foci at (-7, 4) and…

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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: 3 r +6 -을V16-(y-2)2

A: Topic - conics

Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

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Q: Which point or points on the ellipse x? +4y? = 4 are furthest away from the point (0, 1)?

A: The Equation of the given ellipse is, x2+4y2=4 Let the furthest away point on the ellipse, from the…

Q: Which equation does not represent an ellipse? A (x + 1)² (y – 5)² = 1 3 7 B +-1 C 25x² + y² + 150x…

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Q: ND THE EQUATION OFA HYPERBOLA WITH 2) AND (5, 2), AND FOCI AT (-3, 2) AND (7,

A: The vertices of hyperbola are -1,2 , 5,2 , focii of the hyperbola are -3,2 , 7,2 and center of the…

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: Q: Find the equation of the ellipse x² + 2x + 4y2 - 24y = -32, then find the vertex, length of the…

A: We are given the equation of ellipse to be x2+2x+4y2-24y=-32. Now, we can simplify the above as the…

Q: Find the points on the ellipse  X^2 + 6y^2 + 3xy =40 With the greatest x coordinator

A: Let us assume thatfx,y=xandgx,y=x2+6y2+3xy-40The lagrange multiplier equations…

Q: 4+y 2 -6 -5 -4 -3 -2 -1 1 2 3 4 -2 -3 -4 x? Identify a and b for the ellipse with equation y? = 1.…

A: We have to find

Q: 1. Write the equation into the standard form of the equation of the parabola: y? – 2y = 8x - 1.…

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Q: What is the center of the hyperbola? (y+3)? 9. (x-2)2 =D1 2 Enter your answer by filling in the…

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Q: 2. Which conic section is represented by the equation y? – 2x² – 16 = 0? Нурerbola Ellipse Parabola…

A: To write that which conic section is represented by  y²-2x²-16=0

Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

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Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

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

A: For the calculation of area of ellipse,

Q: Q 2. Explain and find the center, foci, ends of major axis, ends of minor axis and vertices of the…

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Q: 19. The center of the ellipse 4x2 + y2 -16x - 6y – 43 = 0 is at: %3D

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Q: (b) Find the evolute of the ellipse x2 y? =D1

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Q: 4, (x – 1) _(y+6)2 = 1. 5. Consider the ellipse whose equation is --- ---- 25 a. Identify the…

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Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: Find the point on the ellipse x2 + 3y + 2xy = 6 with the greatest x-coordinate. (Use decimal…

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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: Which conic section is represented by the equation 2x2 + 4x -y + 9+0

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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: Find the point on the ellipse x? + 4y? + 2xy = 12 with the greatest x-coordinate. (Use decimal…

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Q: 5. Which conic section is represented by the equation 36x² + 8y = 81? %3D Hyperbola Circle Ellipse…

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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: Find the center of the ellipse given by x² – 2x + 2y? - 12y +3 0. Enter as an ordered pair without…

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Q: Which conic section is represented by the equation 2x2 + 4x - y+9= 0?

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Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

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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: Which are the foci for the hyperbola modeled by the equation (Y-32 (x-1)² _ -1? 36 13

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Q: What is the equation of the ellipse shown in the graph? y 67 4- 2- +►X -10 8 -6 -4 -2 0 -2- 8 10 2 4…

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Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: What is the center of the ellipse with the equation (x-7)2+ (y+4)2 23. = 1? 16 25 a. (7,4) b. (-7,4)…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: One of St. Matthew's Hall is 10 feet wide and has a semi- ellipse ceiling. The ceiling is 6 feet…

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Q: 6. What is the length of the major axis of the ellipse with the equation (x-1)? +(y-3)=9? 4. a. 2 b.…

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Q: 18t 7+y 4 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -7 Identify a and b for the ellipse with equation…

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Q: 9x2 – 18x + 4y² + 8y defines an ellipse with center ( E ). The major axis has length and the minor…

A: To Determine: Center and major & minor axis of ellipse :…

Q: What is the distance between the vertices of the ellipse: 64x^2 + 25y^2 _ 16x - 16y-648= = 0? C.…

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