8. Give a parametric representation of the given ellipse with the orientation clockwise. x2 y? -=D1 25 16

Q: Find a parametric description for the ellipse 9x2+4y2+24y=0 oriented clockwise.

A: Ellipse

Q: 1.Sketch the graph of the following conic: 5x^2+9y^2-18y-36=0 Then determine the focal point and…

A:

Q: x + xy + y? = 9 %3D sa slanted ellipse illustrated in this figure: 1 – 4 -2 2.

A: Given that x2+xy+y2=9 Differentiate w.r.t x , 2x+y+xy'+2yy'=0 y'=-2x+yx+2y Now, differentiate w.r.t.…

Q: Determine what type of conic section corresponds to the given equation. 2x(x + 5) – y = 1 + y? O…

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Q: 6

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Q: Rotate the coordinate axes to remove the xy-term. Then name the conic section and sketch its graph.…

A: Given: x2+4xy-2y2-6=0 To Find: Rotate the coordinate axes to remove the xy-term.Then name the conic…

Q: Identify the conic section. y = 1-x 13 4 Hyperbola Ellipse o Circle o Parabola

A: We have to check

Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

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: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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Q: Consider the two ellipses in the x y plane given by the equations (x-1)2 2 =1 and (x+2)2 (y-5)2 62…

A: Given:  The given ellipse equations are x-1262+y232=1and x+2222+y-5242=1

Q: The equation x2 + xy + y² = 1 determines an below. ellipse in the xy-plane shown

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Q: Given the following conic section, what should be the parameter(s) b so that it's shape is a…

A: The general equation of a conic equation is . The given equation is .

Q: Given the following conic section, determine its shape and then sketch its graph. a? – 2ry + y² + x…

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Q: 4) Consider the ellipse x? – xy + y? = 3. From all points (x, y) of this ellipse, find: 1. the ones…

A: 1. Note that the smallest and largest value of y occur when dy/dx =0. Taking derivative on both…

Q: Name the type of conic section defined by the following equation and give a parametrization of it:…

A: We know general equation of circle is given by  center at (a, b) of radius r is given by (x-a) ^2…

Q: 2. Which conic section is represented by x2 + 6y-7 0? Circle Hyperbola Ellipse Parabola

A:

Q: Determine what type of conic section corresponds to the given equation. (x+ 3)2 = 3y? 1- O Ellipse.…

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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: VVI T Identify the conic section. (y+ 1) + 8 o Parabola O Circle о Нурerbola O Ellipse

A: Equation of conic section

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

A:

Q: y2 - The ellipsoid 1 = 1 9 8. +

A: Vector-valued function: - A vector-valued operation incorporates a domain that's a set of real…

Q: Determine the equation of the directrix of the following conic section: y? = -18a O y = -9/2 O x =…

A:

Q: Parametrize the given ellipse. (4) (5) c(t) = What will the parametrization be if the center of the…

A: An ellipse can be defined as the locus of all points that satisfy the equations x = a cos ty = b sin…

Q: 17 Select the conic section represented by the equation. 4x 2 -y 2 + 24x + 4y + 28 = 0. circle…

A:

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

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Q: 8) Write the following equation in standard form for an ellipse. * 4(y+ 1)² + 7(x – 1)² = 28 (x –…

A: Given 4y+12+7x-12=28

Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

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Q: Consider the ellipse a5x*+1by?= 1 its vertices are (o,±A) where A is : A= Its Foci are (0,±B) where…

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Q: Determine what type of conic section corresponds to the given equation. (3x + y)² – 2y = x Ellipse.…

A: We have to check the given equation.

Q: What is the equation of the ellipse with the center at (0,0) that passes through the points (2,0),…

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Q: Identify the conic section as a parabola, ellipse, circle, or hyperbola, or if there is not enough…

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Q: 1 Jl جمح The ellipse (4-x) a? (y-k)? = 1 is vertical a. a > b b. a < b +

A: To find the correct option

Q: Determine the standard equation of the ellipse that satisfies the given properties: 16 3, horizontal…

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Q: What is the conic given by the equation 5x? – 6xy + 5y? – 12 = 0? - O A. Real ellipse O B.…

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Q: Find the equation in xy coordinates for the conic section that satisfies the following conditions:…

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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: Let 49x + 25y 2- 294x - 250y- 159 = 0 (2 – h) (y – k)? = 1. - - then write the ellipse in standard…

A:

Q: The ellipse x^2/7^2 + y^2/6^2 = 1can be drawn with parametric equations where x(t) is written in the…

A: x272+y262=1since 7&gt;6 S0 major axis on x-axis

Q: The ellipse 1 can be drawn with parametric equations where z(t) is written in the form z(t) = r…

A: Given, x282+y242=1

Q: Identify the conic section given by the following equation. æ² + y? – 22x – 4y+ 100 = 0 Select the…

A: We have to check

Q: In the conic section r2 36y, what is the distance between the focus and the center? %3D 0 6 O 12 O…

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Q: 6 Select the conic section represented by the equation. 5x 2 + 5y 2 = 0 point hyperbola  line…

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Q: 5. What is the general form of an ellipse with foci at (0, +2), and vertices at (0, ±4)? 2x + 4y = 0…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the focus for the given ellipse. 1.)  x2 + y2 = 9

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: What type of the conic section is this given equation: 4x2 5x +23 = 2 (10 – 2y²) %3D | O HYPERBOLA O…

A: please check the given equation. for given equation, none type of conic section exist.

Q: Parametrize the given ellipse. (2) (4) c(t) What will the parametrization be if the center of the…

A: We are given the equation of ellipse as,                               . Here, the ellipse is…

Q: Find a parametric description for the ellipse 9x^2+4y^2+24y=0, oriented clockwise and where t=0…

A: Given equation of the ellipse 9x2+4y2+24y=0.