Classify the quadric surface. x2 - y2 + z = 0 O ellipsoid O elliptic paraboloid O hyperbolic paraboloid O hyperboloid of two sheets O hyperboloid of one sheet Sketch the quadric surface. Use a computer algebra system to confirm your sketcl -2t 3 2

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

A: The given question can be solved as shown in step 2.

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: 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: * :classify the surface. 1 – y = 5x² + 6z? Cone O Plane O Ellipsoid O

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Q: Graph the surfaces z = x? + y? and z mon screen using the domain | x| < 1.2, y < 1.2 and 1 - y on a…

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

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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: Compute the surface area of the ellipse that lies on the plane z=11-3x+2y and inside the cylinder…

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

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Q: Classify the quadric surface. x2 - y + z? = 0 O hyperbolic paraboloid O elliptic paraboloid O…

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

A: Given: x2+y42+z2=1  ……1   Equation of plane is: z=14  ……2

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: Classify the quadric surface. 22 = x² + y? + 1 81 ellipsoid elliptic cone ollintio naraboloid

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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: Classify the quadric surface. x2 - y2 + z = 0 O hyperboloid of two sheets O elliptic paraboloid O…

A: Given : x² - y² + z = 0

Q: ? Find the surface area of the plane ( 15x-5z+20y%3D35) if it is in the first octant

A: Here we have to find the surface area of the plane 15x-5z+20y=35 ................... (1) for the…

Q: Classify the quadric surface. x2 - y + z? = 0 %3D O elliptic paraboloid O ellipsoid O elliptic cone…

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Q: The surface whose equation is given by -x2 + y? + z2 – 1 = 0 is called a. an elliptic cone b. a…

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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: Consider the three-dimensional Euclidean space with coordinates x, y and z. The intersection of the…

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Q: Sketch the quadric surface: r +4y2 +4z2 16. Note: The x, y, & z axes are depicted in red, green, &…

A: The given function is: x2+4y2+4z2=16

Q: Identify the surface in the xyz coordinate system given by the equation: z=-√(4-y^2) O cylinder O…

A: Let's find.

Q: Find parametrizations The portion of the paraboloid z =-(x2 + y2)/2 above the plane z =-2

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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: 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: 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: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…

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Q: Does every second-degree equation in x, y, and z represent a quadric surface? Explain.

A: the equation of a quadric surface in space is a second degree equation in three variables. The…

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

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Q: Consider the surface. z2 = 25y %3D Identify the surface. O cylindrical surface O paraboloid O…

A: We have to identify the surface z2=25y.

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

A: Part of the surface: z=1+3x+2y2∂z∂x=3, ∂z∂y=4yVertices of the triangles are (0,0) , (0,1) , (2,1)

Q: Classify the quadric surface. −49x2 + y2 + z2 = 49

A: Given query is to find the shape of the surface.

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: Classify the quadric surface. x2 z = y2 16 ellipsoid O elliptic cone elliptic paraboloid O…

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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: 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: Prove that the surface of the given equation is an ellipsoid. Hence, determine its center. 9x +4y…

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Q: Classify and Sketch the surface X2+ Zy² + Z? -4x+4y-2z+3:0

A: The given equation of the surface is x2 + 2y2 + z2 - 4x + 4y - 2z + 3 = 0.The general equation,…

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: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Solution

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: Use traces to sketch and identify the quadric surface z² = x² +.

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Q: Describe the surface. z = 2 - y2 cone ellipsoid O hyperboloid elliptic cylinder O hyperbolic…

A: z=2-y2 This equation is independent of x,

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

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