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

Q: The Plane y=2 intersects The elliPlic Peraboloid Z=4X+ý inePerebole Find TheSLoPe oF the Tengen To…

A: First we will find intersection point of the surfaces and than evaluate the slop of tangent.

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

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Q: The plane x + y + z = 1 cuts the cylinder x2 + y2 = 1 in an ellipse. Find the points on the ellipse…

A: The plane x + y + z = 1 intersects the cylinder x2 + y2 = 1 in an ellipse. Find the points on the…

Q: Let S be the quadric with equation 36x2 – 4y2 – 922 – 36x 0. - - (a) Classify the graph of S. (b)…

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Q: Let C be the boundaries of the ellipse 49x2 + 9y? = 49 taken in the counterclockwise direction. A…

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Q: (a) Consider the following. -5 5 5 -5 Identify the surface graphed. O cylinder O paraboloid O cone…

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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: The trace of the surface S: z =a + y? in the plane z= 4 is O a Line O a Parabola O An ellipse O a…

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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: 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: 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: (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: Given a plane 2y + 4z = 5 intersects the cone z^2 = x^2 + y^2 in an ellipse. Find the points on this…

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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: 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: Find a parameterization for the quarter sphere x² + y² + z² = a² where z > 0 and x > 0.

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Q: Identify and sketch the section of the surface at x = 0. 2y – x² + 2z? = 8 Type of the surface:…

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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: 4. The surface described by the equation x2 + y + z² = 0 is a(an) (a) elliptic paraboloid symmetric…

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Q: The graph of the surface -z2+x²+2y2+15=8x is O a hyperbolic paraboloid a hyperboloid of two sheets a…

A: It is hyperboloid of one sheet.

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: 28.) What surface is the graph of (x-1) =y² +z? ? (a) A cone (b) A hyperbolic paraboloid (c) A…

A: The surface is a cone with vertex at (1,0,0).

Q: 32. Which of the following is the trace of the surface in the plane y=3? * O Hyperbola O Ellipse O…

A: Given, To evaluate trace of the surface in the plane at y=3

Q: The curve y= 7,0 <x <3; is rotated about the x-axis. Find the exact area of the 3 resulting surface.

A: Given: The curve is Interval is from 0  to 3  and it is rotated about x axis

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

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Q: A parabola has an equation of y - 3xi generated by revolving the area bounded by the line a- 4 0 and…

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Q: A surface in space is defined by the equation 2 + z? = 4. Which one of these is true? The surface is…

A: The given equations is x2+z2=4

Q: A parabola has an equation of y - 3x = 0. Compute for the surface area of the solid generated by…

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Q: 4. Let C be the curve of intersection of the 3-D graph of r? = 2y (a "parabolic cylinder") with the…

A: Since you have asked multiple questions in a single request so we will be answering only first…

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: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the xz-plane. 2. Sketch the portion of the…

A: Given,  Parabola :C: z-4=-(x-2)2 on xz-plane We have to draw or sketch the portion of cylinder…

Q: 18.) The traces for the surface z=x - y with the plane x= k are which of the following? (a)…

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Q: In spherical coordinates, the surface p(p-2singcose)=0 is O .a. a sphere Ob. a cylinder C. a…

A: Putting the value of parameter of spherical coordinate into coordinate system, it give the equation…

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: D is the region enclosed by the parabolas z = y²-9 and 2 - y² +9.

A: Let, I=∫∫Dx+y+2dA x=y2-9 and x=-y2+9 Power rule for the integration: ∫xndx=xn+1n+1+C ∫cdx=c∫x0dx=cx

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: 2. Find the area of the ellipse S on the plane 2x + y + z = 2 cut out by the cylinder x2 + y? = 2x;…

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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: The plane x + y + 2z = 20 intersects the paraboloid z = x² + y² in an ellipse. Find the points on…

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

A: Given equation is y2+z2=16

Q: (3) Consider the quadric surface S C R, having equation a2 + y? - z2 = 9. Find all lines through P…

A: General equation of line from point 3,-3,3 is x,y,z=3,-3,3+tl,m,n.  Substitute it in the quadratic…