The equation of a surface is shown below. Which among the choices best describes the surface represented by the equation? O diastolic paraboloid O hyperbolic paraboloid O elliptic paraboloid O cylindrical paraboloid

Q: z =x' +y° +1 Y L x' +y? -z? = 1 LY

A:

Q: Given the quadric surface below 0.8 0.6 0.4 0.2 -2 -1 0 1 2 a. Specify the name of the quadric…

A: a)Here, the trace of the ellipsoid is in elliptical shape.

Q: x? - y? + z = 0 O hyperboloid of two sheets O elliptic paraboloid O ellipsoid O hyperbolold of one…

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

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…

A:

Q: State the type of the quadratic surface: (종)? - (3)2 + (주)2 D1 1. Ellipsoid 2. Hyperboloid of one…

A: To state the type of quadratic surface

Q: Analyze the trace when the surface z = (1/2)x2 + (1/4) y2 is intersected by the indicated planes.…

A: Consider the value of y=4

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: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: The given equation is: -225x2+100y2+36z2=0⇒-x2602+y2902+z21502=0

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

A: topic- geometry

Q: Given -2-x2 -,2 = 1 (a) Write the equation above in standard for (b) Identify the surface. (c) What…

A: Given that: z2-x2-y2=1

Q: Identify the quadric surface z =- y? -* as an ellipsoid, hyperboloid of one sheet, hyperboloid of…

A:

Q: Solids of revolution Which of the quadric surfaces can be generated by revolving a curve in one of…

A:

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

A:

Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: 3. Rewrite each equation below in standard form of a quadric surface and then roughly sketch the…

A: 6-x2+2y2-4y-4z=0x2-2y2+4y+4z=6x2-2 (y2+2y+1-1)+4z=6x2-2(y+1)2+2+4z=6x2-2(y+1)2+4z=4x24-12(y+1)2+z=1

Q: 3. 4x+y 4

A:

Q: Describe the surface whose equation is 2x2 + 2y? +2z? – 3x 9y + 5z - 2 = 0. NOTE: Enter the exact…

A: Let's find.

Q: 21 y2 a. x + 1 %3D

A: The given equation is x21+y29+z24=1We know the general equation of ellipsoid is x2a2+y2b2+z2c2=1So…

Q: escribe and sketch the surface in R*represented by the equation x + y = 2.

A: Given that - Describe and sketch the surface in R³ represented by the equation x + y = 2.

Q: Consider the following equation of a quadric surface. 4x2 + 4y2 + 9z2 = 36 a. Find the intercepts…

A: (A) The intersection with x-axis is when y=z=0. So, x2=364=9⇒x=±3 So, x-intercepts are (3,0,0) and…

Q: What are quadric surfaces? Give examples of different kinds of ellipsoids, paraboloids, cones, and…

A: Those equation or graph that can be represented in the below form are called Quadrative Surfaces:

Q: Describe the surface with equation 2 + y? + 2? + 12x + 8y + 2z – 11 = 0 The surface is a sphere with…

A:

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: What are quadric surfaces? Give examples of di¦erent kinds of ellipsoids, paraboloids, cones, and…

A:

Q: Consider the following equation of a quadric surface. a. Find the intercepts with the three…

A: Let a three variable equation fx,y,z=01 x - intercepts when y=0=z2 y - intercepts when x=0=z3 z -…

Q: Consider the following equation of a quadric surface. 400 400 a. Find the intercepts with the three…

A: The given equation of a quadratic surface                   y2400-x2400=z ⋯⋯⋯⋯⋯ (1) To find     The…

Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: Given quadratic surface is 100x2+36y2+225z2=900. a  We have to write the name the given quadric…

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…

A: Given equation: x2=4y    which has to be revolved about the y-axis.

Q: Consider the surface in 3D described by the equation z = x² + y? – 16. (You might want to start by…

A: We are given that z=x2+y2-16 which is an Elliptical Paraboloid. We have to describe the trace in xy…

Q: Describe the surface whose equation is 2x² + 2y? + 2z² – 7x – 3y + 5z – 2 = 0. | NOTE: Enter the…

A:

Q: Consider the following equation of a quadric surface. x= 9- 9y? - z? a. Find the intercepts with the…

A: We are given: x=9-9y2-z2For x-Intercept : y=z=0⇒x=9 is the x-intercept.For y-Intercept :…

Q: Sketch and describe the surface created by p=2 csc(ø).

A: Coordinate systems are used to represent a point in three dimensions. The cylindrical-coordinate…

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

A:

Q: Consider the equation 4x² - 3y² + 12z² = -12. Describe the traces of this surface on the xy-plane,…

A: The traces of a surface are the cross-sections created when the surface intersects a plane parallel…

Q: Find the center, foci, and vertices of the ellipse. x2 + y + 4)² - 1 25 center (x, y) = focus (х, у)…

A: Given, x29 + (y+4)225 = 1 (x-0)29 + (y+4)225 = 1 It is the standard form of the equation of the…

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

A:

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

A:

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

A:

Q: The four views (front, side, top, orthogonal) of a surface are shown below. Which among the choices…

A:

Q: Describe the surface whose equation is 2a2 + 2y? + 222 – 5x – 9y + z – 2 = 0. | NOTE: Enter the…

A: Sphere

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

A:

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

A: Given equation is 225x2+100y2+36z2=900. (a) To identify: The name of the curve, and its axis. (b) To…

Q: x2 (z – 1)? +1= 0. 4 4 9.

A:

Q: Rewrite the given equation of a quadratic surface and identify the graph. 12y2 – 3z2 = 16x

A: equation of the hyperbolic paraboloid  A y2 - B z2 = 2 Cx

Q: Match the quadric surface with the a plausible equation for the graph by drawing an arrow from the…

A: The objective is to match the surface with equation for graph and then by its name.

Q: Consider the equation below. x2 + y2 - 2x - 8y – z + 17 = 0 Reduce the equation to one of the…

A: Reduce the equation of the standard form. And sketch the surface.

Q: Identify the type of surface represented by the given equation. Hyperboloid of two sheets Ellipsoid…

A: The given equation is x28+y26-z23=1

Q: Identify and sketch by hand the graph of the quadric surface 25r2 – 25y? – 9z2 – 150r + 200 = 0. You…

A: An equation is given                              25x2-25y2-9z2-150x+200=0We have to identigy and…

Q: Describe the surface whose equation is x2 + y? + z2 + 6x + 8y + 10z – -1= 0. Surface description:…

A:

Q: Use surface sketching (Find symmetry, intercepts, traces, sections and full sketch of object) to…

A: We are given the equation of a paraboloid as : x2/81 + y2/81 = z/3 And we have to sketch its surface…