Circle the equation that generates the surface shown below.

Q: find the equation for the parabolic cooker.

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Q: Determine an equation for the parabola with focus (3,2) and directrix y = -4.

A: Since, directrix is vertical use equation of parabola that opens up or down.     (x-h)2 = 4p(y-k)…

Q: Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

A: Given the equation : 9x2-4y2+16z2-144=0 We know Equation of hyperboloid of one sheet:…

Q: For Exercise, from the equation of the ellipse, determine if the major axis is horizontal or…

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Q: find the vertex, directrix, and focus  x^2 -6x+y+9=0

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Q: For Exercise, from the equation of the ellipse, determine if the major axis is horizontal or…

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Q: Write this equation for an ellipse 12y? – 24a? 144 in standard %3D form. Show your work.

A: The given equation of the ellipse is 12y2-24x2=144 To find: standard equation of the ellipse

Q: Describe in words the surface whose equation is given. p = 5

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Q: a) makes horizontal traces, shows the development and graph b) make three vertical traces, show the…

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Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

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Q: (e) Evaluate y" for the ellipse ba? + a²y² = a²b³.

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Q: For Exercise, determine the eccentricity of the ellipse. (x – !)° (y + 3) 25

A: Consider the general equation of ellipse

Q: Write the standard form of an equation of an ellipse subject to the given conditions. Major axis…

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Q: Find the parametric form of (i) the circle x?+y? =p²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the center, foci,and vertical of the ellipse. x^2/49+y^2/16=1

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Q: x² + + =1 y2 9. 4

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Q: Find an equation for the parabola with focus (0, -4) and directrix y =

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Q: For Exercise, find the standard form of the equation of the ellipse or hyperbola shown.

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and…

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: What are the foci of the ellipse? (z-2 + G (G) 25 3D1 49

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Q: Choose the equation that represents the *graph of the quadric surface below

A: Given,

Q: Describe and sketch the surface in R3 represented by the equation x+y = 2.

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Q: For Exercise, determine the eccentricity of the ellipse. | (x + 7) y 12 18

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Q: Write the equation for a sphere centered at the point (6, 1, - 3) and has the point (10, - 2, -8).

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Q: What three-dimensional shape does the following equation describe? Sketch the shape 22 4 16

A: The Equation represents  an ellipsoid

Q: Write the Equation of the parabola: Focus: (0,5), Directrix: y= -3

A: We have to find the equation of parabola

Q: Write the equation for the above surface.

A: The surface represents the cylinder; with circle in the xz-plane. x2 + z2 = 1  (radius of the circle…

Q: Rewrite the equation of this circle in standard form: 2 + 16x + y-14y + 48 = 0 Standard Form:…

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Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

A: From the figure, The points of the circle are listed below. Ax1, y1=A0, 3Bx2, y2=B3, 0Cx3, y3=C6,…

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

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Q: Find the surface

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Q: NSWER. a. Find all the parts of the ellipse and plot ellipse with the equation.

A: Introduction: An ellipse is a closed curve defined by its foci and stretched shape along its…

Q: An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet…

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Q: Sketch the ellipse: Find the center, vertices, foci, eccentricity, domain and range. (x+1)² (y-3)² +…

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Q: Derive an equation for the parabola with focus (a , b) and directrix x = c

A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that  |Af|= |AD| Where Af=…

Q: ven a circle with center 7, 1) and radius 2, Write an equation of the circle in standard form.

A: In this question, the standard equation of the circle is determined. The standard equation of Circle…

Q: Describe and sketch the surface in ℝ3 represented by the equation x + y = 2.

A: The graph is a vertical plane ( that is, perpendicular to the xy-plane) that intersects    the…

Q: Use these parametric equations to graph the ellipse when a=  3 and b= 1, 2, 4, and 8.

A: a=3 and b=1,2,4,8 We need to Graph the ellipse using the parametric equation for the given…

Q: For Exercise, determine the eccentricity of the ellipse. (y – 3)? 1 12

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Q: Write the equation of the circle x2 +y2 + 4x -4y - 28 = 0 in standard form. %3D Make sure to show…

A: We know that the general equation for a circle is  ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k )…

Q: Use the equation of ellipse to determine if a truck can fit through a semi-elliptical archway. The…

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Q: Find the points on the ellipse that are twice the distance from one focus to the other. y? 25 9.

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Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (-2, -5),…

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Q: For Exercise, write the standard form of an equation of an ellipse subject to the given conditions.…

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Q: Write the equation and determine the type of surface obtained by rotating this line around the…

A: When we rotate the given equation around y axis, we got hyperboloid:

Q: Write the standard form of an equation of a parabola with focus (1, 6) and directrix y = −2.

A: Given that focus and directrix of parabola.Find the equation of prabola in standard form.