x? - y? + z = 0 O hyperboloid of two sheets O elliptic paraboloid O ellipsoid O hyperbolold of one sheet O hyperbolic paraboloid Sketch the quadric surface. Use a computer algebra system to confirm your sketch.

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: Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation…

A: Here we need to find the effect of translation on parametric equation of hyprabola.

Q: Find the area of the surface formed by revolving the ellipse about the z-axis (an ellipsoid) y² + a²…

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Q: Describe the surface whose equation is 2.x2 + 2y? + 2z² – x - 9y+7z - 2 = 0. NOTE: Enter the exact…

A: topic- geometry

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: Match the equation with the surface it defines:

A: given equation is x24+y24=z249

Q: (e) 25z = x² + 25y²; %3D a = i ,b = i ,C = (f) z? – x² – y² = 1; h = >

A: Topic:- 3D-Geometry e) Elliptic paraboloid f) Hyperboloid of two sheets

Q: A hyperboloid of two sheets Graph the surface defined by the equation - 16x? – 4y? + z? + 64x – 80 =…

A: Given: A hyperboloid of two sheets:  – 16 x 2 – 4 y  2 + z 2 + 64 x – 80 = 0.   To sketch: The graph…

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

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Q: Match each equation with a description of the shape of its surface. 2 A. hyperbolic paraboloid B.…

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Q: Find an equation for the surface obtained by rotating the parabola y=2 about the y-axis.

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Q: State the type of the quadratic surface: (중)"- (1)" + (주)'=1 1. Ellipsoid 2. Hyperboloid of one…

A: NOTE: Refresh your page if you can't see any equations. . here two of the variables have positive…

Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

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Q: find the exact perimeter of the ellipse x2/a2 + y2/b2 = 1. (No approximations) please show all the…

A: Consider the provided question,

Q: Find the equation of the surface of revolution when the hyperbola (y^2 / 9) − (z^2 / 4) = 1 is…

A: Find the equation of the surface of revolution when the hyperbola (y^2 / 9) − (z^2 / 4) = 1 is…

Q: Identify the surface that corresponds to the equation 3y^2 - 2x - 8z^2 = 0. O elliptic hyperboloid…

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Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: 2)circle

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: Write the equation for the surface generated by revolving the curve x2 - 2y2 = 1 about the y-axis.…

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

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Q: Given an ellipse with major axis of length 2a and minor axis of length 2b, the area is given by A =…

A: Given that for an ellipse with major axis of length 2a and minor axis of length 2b , Area of the…

Q: A satellite dish is shaped a paraboloid of revolution. This means that parabola around its axis of…

A: We know that parabola equation is y= a x^2 Two points other that (0,0) are (-28,7) and (28,7) a =…

Q: Identify the type of surface represented by the given equation. x? ? z? 10 =D1 7 O Elliptical cone O…

A: Given query is to find the surface represented by given equation.

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

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Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: Topic:- cutting of surface

Q: Identify and sketch the section of the surface at x = 0. 2y? - x + 2z = 32 %3D Type of the surface:…

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Q: Find the center, vertices, foci, and eccentricity of the ellipse. x2 y? 169 144 center (х, у) -…

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

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Q: Find the equation of the surface of revolution that is generated by rotating the parabola y = x^2…

A: Equation of surface of revolution of a curve about y-axis is given by x2+z2=r2 where r is the radius…

Q: What sort of surface is represented by the equation r = 2? Circle ) Hyperbolic Paraboloid Cone O…

A: which surface we can represent by radius that sort of surface :

Q: Sketch the surface in R' of the equation presented. 4x² + y? = 36 Interactive 3D Graph - 10…

A: The given equation is, 4x2+y2=36x29+y236=1x232+y262=1⋯⋯1 In 2D, equation (1) is a equation of a…

Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 ,…

A: \ Revolution of the hyperbola about its transverse axis generates a surface of two sheets, two…

Q: ) Classify the equations below as one of the following types of surfaces: A. parabolic cylinder, B.…

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Q: Consider the equation below. x2 - y? +2 - 2x + 2y + 4z + 1 =0 Reduce the equation to one of the…

A: Given equation is      x2-y2+z2-2x+2y+4z+1=0

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: Which of them are true? I) 1 Ellipsoid 4 II) y? = 4x² + 16z² Hyperboloid III) x = 4 – 5y? – 9z?…

A: To find the correct choice from the following quadric surfaces.

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

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Q: Find the surface area of the cone frustum generated by revolving the line segment y = (x/2) + (1/2),…

A: The surface area formula using integration is given by: In the question, we are given: Also x lies…

Q: Consider the equation below. 16x2 + y? + 16z2 - 8y – 160z + 400 = 0 Reduce the equation to one of…

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Q: Classify the quadric surface. 4x2 - y2 - 2? = 1 hyperboloid of two sheets O hyperboloid of one sheet…

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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: Describe and sketch the surface y2 + z = 6

A: Graph: Given surface y2+z=6 Since one co-ordinate has power 2 and other co-ordinate has power 1. So…

Q: Consider the ellipse given by the intersection of the plane x+y+7z=3 with the paraboloid x^2+y^2=2z.…

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Q: Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1.* O elliptic…

A: The various types of quadric surfaces are: the ellipsoid, the hyperbolic paraboloid, the elliptic…

Q: Identify the surface generated by the equation 9y^2 + 4x^2 - z^2 = 36 hyperboloid of 1 sheet,…

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Q: You are given a y=sqrt(36-x^2), -3≤x≤3, curve that rotates about the x-axis. What is the area of the…

A: Given curve is y=36−x2, −3≤x≤3 and curve rotates about the x-axis. We have to find the area of the…

Q: Find equetion of Hhe parabole farmm an I with focus zt (3,0) and divectrix x=-3

A: Focus =  F= (3,0)  Directrix - x =-3  i.e. x+3=0

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

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