Find an equation for the surface consisting of all points that are equidistant from the point (-4, 0, 0) and the plane x = 4. Identify the surface. O hyperboloid of two sheets O hyperbolic paraboloid O cone O parabolic cylinder O hyperboloid of one sheet O elliptic cylinder O ellipsoid O circular paraboloid

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: z =x' +y° +1 Y L x' +y? -z? = 1 LY

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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: Identify the surface defined by the following equation. x? z? y=2 11 The surface defined by the…

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Q: The top of a rubber bushing 1 surface of revolution generated by revolving the curve z= +1, (0sys2)…

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Q: Describe the surface whose equation is x2 + y? + z2 + 6x + 8y + 8z – -16 = 0. Surface description:…

A: Given:- x2+y2+z2 +6x+8y+8z--16=  To find:- Surface description

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: Identify the surface for z=r^

A: Given z=r2

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

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Q: Describe the surface with equation x² + y? + z? + 8x + 4y + 2z – 4 = 0) The surface is a sphere with…

A: Topic:-  sphere equation

Q: Find the traces of the given surface in the planes x=k,y=k,z=k. Identify the surface and sketch it.

A: The given surface is 4x=y2+z2 We have to identify the surfaces in the planes x = k,  y = k and z =…

Q: The set of all points equidistant from the point (0, 2, 0) and the plane y = −2, find an equation 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: Consider the surface z = (x+ 1)² + (y – 2)² – 1 - Select a correct name for this surface and point…

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Q: Find the traces of the given surface in the planes x=k,y=k, z=k. Identify the surface and sketch

A: Quadric Surface Hyperboloid of two sheet z2c2-x2a2-y2b2=1 In this two variables have negative…

Q: escribe the surface. y2 + z= 5 v cylinder with the rulings parallel to the ?v -axis. The generating…

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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: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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: Locate and classify the stationary points on the surface z = Ty"- 2xy 2x2- 3x, remembering that r, y…

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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: Determine the projection of the surface - y = 3. on the yz-plane? (Hint: x = 0) O Parabola O No…

A: Given:      Surface x23-y2=z       By putting x=0 we get             023-y2=z

Q: Find an equation for the surface consisting of all points P for which the distance from P to the…

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Q: I just need #36.

A: Given the equation

Q: Describe the shape of the surface: x? + y2 = 9. How would you describe the curve of the intersection…

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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: Find the traces of the given surface in the planes x=k,  y=k, z=k. Identify the surface and sketch…

A: The given surface is 4x=y2+z2. We have to identify the surfaces in the planes x = k,  y = k and z =…

Q: 2? = a? + 2y?

A: Consider the given surface z2=x2+2y2 The trace in the plane x=k are z2-2y2=k2 For k=0, z2-2y2=0⇒…

Q: Find an equation for the surface obtained by rotating the line z = 2x about the z-axis. + x²) b. z?…

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Q: ify and sketch the

A: Given,       9x2+25y2-16z2=0

Q: For the surface 4x² + y² −z = 0, classify the indicated trace as an ellipse, hyperbola, or parabola.…

A: We have been given the equation  4x² + y² −z = 0           (1)

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: Identify and sketch the section of the surface at z- 0. 14z = y - x Type of the surface: 61 6. 6. 4…

A: Graphs of y=x and y=-x are pre requisites

Q: Consider the following equation of a quadric surface. y? z? =D1 25 2 - 25 25 a. Find the intercepts…

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Q: = V16 – x², -2<x<3, is rotated about the x-axis. Find the area of the resulting surface.

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Q: Reduce the equation to standard form, classify the surface and sketch it    4y2 + z2 - x - 16y - 4z…

A: Given: 4y2 + z2 - x - 16y - 4z + 20 = 0

Q: Find a parameterization for the surface obtained by rotating the parabola z = x^2 −1 around the z…

A: when surface rotate it form volume  then the volume form by the curve is V so V =π1615 detailed…

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 - y2 + z2 - 4x - 2y – 2z + 4 = 0 Reduce the equation to one of the…

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Q: Identify and sketch the section of the surface at z = 0. 17z = y – x Type of the surface: 6 4. 12 12…

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Q: x2 (z – 1)? +1= 0. 4 4 9.

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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: Sketch the portion of the surface that lies in the first octant: y = z. 0.15 0.a 0.1 0. 0.15 0.18

A: To sketch the portion of the surface y=z that lies in the first octant. The sketch of y=z is:

Q: Find the traces of the given surface in the planes x = k, y = k, z = k. Identify the surface and…

A: Given - The surface z = x2 - y2 To find - The traces of the given surface in the planes x = k, y =…

Q: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola,…

A: we have to find the trace on x = 0

Q: Consider the surface given by the equation z - y = x2. Draw a total of at least 3 traces in at least…

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Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x , (z = 0)…

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Q: Identify the surface by completing the squares. x + 4y? – 2 – 6x + 8y + 4z = 0 O An elliptic…

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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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