Identify the quadric surface. 9x2 + y2 – 9z2 - 54x – 4y – 54z + 4 = 0 O hyperboloid of two sheets O elliptic cone O hyperboloid of one sheet O elliptic paraboloid O ellipsoid

Q: 2. State the names of the following quadric surfaces. (a) The surface z = y² – 2x². (b) The surface…

A: a. this equation is in form of  as sign of A and B is opposite it is  Hyperbolic paraboloid

Q: State the type of the quadratic surface: (x/8)2+(y/3)2+z^2=1 1. Hyperboloid of two sheets 2.…

A: Given that the type of the quadratic surface is    (x/8)2+(y/3)2+z2 = 1

Q: 2. Given the quadratic surface S by the equation below, determine the type of surface. 2x? + 3y? +?…

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Q: he plane r+y+ 2z 10 intersects the paraboloid z = x + y in an ellipse. Find the points on this…

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Q: Identify the quadric surface as an ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets,…

A: We need to find values of a,b,c.

Q: find a parametrization of the surface. The paraboloid z = x2 + y2, z<=4 The paraboloid z = 9 - x2…

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Q: Identify the quadric surface z =- y? -* as an ellipsoid, hyperboloid of one sheet, hyperboloid of…

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Q: Identify the surface by completing the squares. A hyperboloid of one sheet. O An elliptic cone. O A…

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Q: Given the surface 9x^2 − 4z^2 = 9y. Find its traces on each coordinate plane and on the planes y=4,…

A: Solutions

Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

A: We need to identify the quadratic surface.

Q: State the type of the quadratic surface: 2 ()° + (;)° + (;)° = 1 2 1. Ellipsoid 2. Hyperboloid of…

A: We know the general equation of ellipsoid with center at origin (h,k,l) is, We know the general…

Q: Consider the equation below. x² – y2 + z² – 4x – 2y – 4z + 7 = 0 - Reduce the equation to one of the…

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Q: Identify the surface and find the traces 4x2 +9z2-36y%3D0 O A. None of these. O B. Paraboloid. 3.…

A: We have to identify the surface and find the trace for the following...…

Q: Classify the quadric surface. x2 - y2 + z = 0 O hyperboloid of one sheet O hyperboloid of two sheets…

A: Classify the quadratic surface.

Q: For the surface 4x² – y² + z² = 9, the trace y = 0 is : O Ellipse O Elliptic cone O Hyperbola O…

A: Topic = Geometry The trace is Ellipse.

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: Here the given surface  -100x2+36y2+225z2=900 ..........(1)

Q: (х-2)? (у-3)? For the quadric surface, = z², the center of the cone can be found at which point? 9…

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Q: State the type of the quadratic surface: æ² + () + 2? = 1 1. Hyperboloid of two sheets 2.…

A: Solution ) given x2 + (y/8)2 + z2 = 1 We can write this equation  x2/12 + y2/82 + z2/12 = 1 the…

Q: Classify and sketch the surface 4x2 − 3y2 + 12z2 + 12 = 0.

A: Solution:Given surface4x2 - 3y2 + 12z2 + 12 = 0    — 1divide equation 1 with -12,⇒ x2-3 + y2u - z2 -…

Q: Identify the surface 2x² + 4y? – 1=0. A. An elliptic cylinder. B.Ahyperbolic cylinder. OC. None of…

A: We will solve the problem

Q: Classify the quadric surface. 4x? - y? - 22 = 1 O hyperbolic paraboloid O hyperboloid of two sheets…

A: It is a hyperboloid of two sheets

Q: State the type of the quadratic surface: x? - ()° + z? = 1 1. Hyperboloid of two sheets 2.…

A: Givenx2-(y4)2+z2=1Since both variables are squared and have opposite signs the conic is a hyperbola…

Q: dentify the surfaces of the following equations by converting them into equations in the Cartesian…

A: The given data is: To identify the surfaces: z2=4+4r2

Q: Identify the surface below: 4z2 = 3x Select one: a. Hyperboloid of two sheets O b. Hyperboloid of…

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Q: Find the area of the surface. The part of the surface 2y + 4z - x2 = 5 that lies above the triangle…

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Q: I just need #36.

A: Given the equation

Q: Find the center C and the radius a for the spheres x2 + y2 + z2 - 4x + 6y - 10z = 11

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Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

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

A: According to the given information, it is required to find the nearest and farthest distance from…

Q: Find an equation of the surface of revolution by revolving the plane curve 3y = v(9- [(x-1)] ^2 )…

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Q: State the type of the quadratic surface: (중)" + (분)2 + (종), =1 1. Ellipsoid 2. Hyperboloid of one…

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Q: Identify and sketch the section of the surface at x = 0. x? ? 36 Type of the surface: elliptic cone…

A: Here we have to plot the graph.

Q: Find the center and radius of the sphere. x2 + y2 + z2 - 18y + 12z + 36 = 0 (x, y, z) = ( 0,9, – 6…

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Q: Classify each of the following quadric surfaces as either an ellipsoid, hyperboloid of one sheet,…

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Q: Consider the equation below. 2y2 + z2 - x - 8y – 4z + 12 = 0 (a) Reduce the equation to one of the…

A: Consider the equation…

Q: Classify the quadric surface. 4x2-y?- z2 = 1 O hyperboloid of one sheet O hyperbolic paraboloid O…

A: The objective is to classify the quadric surface.

Q: a. z? -y? -x?+ 4x= 5 by-3 = x?+z² 2

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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: y? -x* as an ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets, elliptic cone, elliptic…

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Q: Consider the equation below. x2 - y2 + z2 - 4x - 2y – 2z + 4 = 0 Reduce the equation to one of the…

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Q: The surface x2+y?+z?-4x-2z+5=0 is: O an elliptic paraboloid O a point O no graph O a hyperboloid of…

A: Please see the below picture for detailed solution.

Q: Find an equation for the surface consisting of all points that are equidistant from the point (-4,…

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Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: Identify and sketch the section of the surface at x = 0. 2y² – x² + 2z? = 50 Type of the surface:…

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Q: The surface x2 + y² = z² is identified as O A. Paraboloid O B. Cone O C. Hyperboloid of one sheet O…

A: the correct answer is option: D .) Hyperboloid of 2 sheets

Q: Find the area of the surface generated by removing about the x-axis the upper half of the ellipse…

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Q: 6. The part of the surface z = 1 + 3x + 2y² that lies above the triangle with vertices (0, 0), (0,…

A: Given: A surface z=1+3x+2y2 and vertices of triangle (0, 0), (0, 1) and (2, 1). To find: Area of…

Q: Which quadric surface is this? y x2 Elliptic Paraboloid O Hyperboloid of Two Sheets O Elliptic Cone…

A: We have to answer the given equation is of which quadric surface.  given    we can see that its…

Q: Classify the quadric surface. 4x? - y2 - z2 = 1 O hyperboloid of one sheet O hyperbolic paraboloid O…

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Q: Identify the surface by completing the squares. x +16y² – z? – 14x + 32y + 8z = 0 O A hyperboloid of…

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