Classify the quadric surface. x2 - y2 + z = 0 O hyperboloid of one sheet O hyperboloid of two sheets O hyperbolic paraboloid elliptic paraboloid O ellipsoid

Q: z =x' +y° +1 Y L x' +y? -z? = 1 LY

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

A: Given that  The equation is  x^2-y^2+z^2-2x+2y+4z+2=0  To reduce the surface in to standard form and…

Q: Identify and sketch the section of the surface at z = 0. y? 2 Type of the surface: hyperboloid of…

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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: Classify the quadric surface. z2 = x2 + y? %3D O ellipsoid O hyperboloid of one sheet O hyperboloid…

A: The solution are next step

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: (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: 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: Which quadric surface is represented by the equation below? 22 = 1 16 y? 4 Ellipsoid Cone Elliptic…

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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: state the type of the quadric surface and describe the trace obtained by intersecting with the given…

A: x2+y42+ z2=1,y=5x2+y42+ z2=1

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: 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: Determine the projection of the surface – y? = z on the yz-plane? (Hint: a = 0) Circle O No answer…

A: The solution is :

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

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Q: The quadric surface 2z-x²-4y² = 0 is O Hyperboloid of two sheets. O Elliptic paraboloid. O…

A: We have to solve given problem:

Q: Determine the projection of the surface - y² = z on the xy-plane? (H - Ellipse Нуperbola Two…

A: To determine the projection, z = 0 x2/3 -y2 = 0

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: Identify and sketch the section of the surface at x = 0. 25.x + 16y² – 922 = 0 Type of the surface:…

A: For x=0, the equation becomes 16y2-9z2=0. And the graph looks like the following.

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

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Q: 34. What is the name of this quadric surface? Elliptic paraboloid O Elipsoid O Hyperbolic paraboloid…

A: We are given: 9x2+z2-3y=0 This surface is an Elliptic paraboloid as shown below :

Q: Determine the projection of the following surface on the plane of the xy-axes -2y? + + =1 3 3 O…

A: -2y2+x23+z23=1To find the projection

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

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Q: Find a parametric representation for the surface. The part of the hyperboloid 5x2 – 5y2 – z² = 5…

A: Given, equation of surface is

Q: Determine the projection of the surface – y : = z on the xy-plane? (Hint: z = 0) Ellipse O Hyperbola…

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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: a. z? -y? -x?+ 4x= 5 by-3 = x?+z² 2

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

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Q: 7. Identify the quadric surface as an ellipsoid, hyperboloid of one sheet, (a) hyperboloid of( two…

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Q: Name the quadric surface: 2x-y²-z²=0 O Ellipsoid O Hyperboloid of one sheet фоалт 340095 t f quant

A: given quadratic equation 2x-y2-z2=0 claim- name the quadratic equation

Q: x2 (z – 1)? +1= 0. 4 4 9.

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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: Describe and sketch the surface y2 + z2 = 9

A: the given equation represents the cylinder where it forms the circle as the base on yz plane and is…

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: Describe the surface. x2 16 4. O cylinder O ellipsoid O cone O paraboloid O sphere Sketch the…

A: The equation represents surface of an ellipsoid

Q: Find a parametric representation for the surface. The part of the hyperboloid 5x2 − 5y2 − z2 = 5…

A: 5x2 - 5y2 - z2 = 5 (Given)5x2 = 5 + 5y2 + z2  x2 = 5 + 5y2 + z25   x = 5 + 5y2 + z25

Q: Find a parametric representation for the surface. The part of the hyperboloid 9x2 – 9y2 – z2 = 9…

A: Let u and v be two parameters for the given surface. Since the part of the surface lies in front 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: State the type of the quadratic surface: ()' + ()° + z : 1 1. Hyperboloid of two sheets 2.…

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Q: Identify the surface y-3=x²+z² paraboloid cylinder cone hyperboloid

A: y-3=x²+z²

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

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Q: Use traces to help identify the surface y = 9x2+25z?. O a. Hyperbolic paraboloid b. Cone O c.…

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Q: Describe and sketch the surface y2 + z2 = 16

A: Given equation is y2+z2=16