Write the equation for the surface generated by revolving the curve x2 - 2y2 = 1 about the y-axis. Then describe the surface. %3D

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: 8.2

A: We know that,

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 area of the surface formed by revolving the ellipse about the z-axis (an ellipsoid) y² + a²…

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Q: Match the equation with the surface it defines:

A: given equation is x24+y24=z249

Q: y? Assume you are given the surface S with equation p2 9. 1.

A:

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: Reduce the equation to one of the standard forms, classify the surface, and sketch it…

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Q: d. x+ z = 5

A: Given the equation of surface is : x+z=5

Q: 3. 4x+y 4

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Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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

A: Let's find.

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: Given 4x = 3y + 3z2 (a) Write the equation above in standard form. (b) Identify the surface. (c)…

A: As per the guidelines we are only supposed to answer three subparts , for next parts please ask…

Q: Consider the following equation of a quadric surface. x? y? 121 a. Find the intercepts with the…

A: Here , we have given equation of x2121 + y29 = z2 .   Foe x-intercept coordinates of x and y will be…

Q: 13. Consider the equation: 4x² +9z? = 36 Describe the traces. а. b. Describe the rulings. с. Sketch…

A: Here is the solution of the given problem.

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: Given ==- 3x – 3y² (a) Write the equation above in standard form. (b) Identify the surface. (c) What…

A: Explanation of the answer is as follows

Q: dentify the surfaces of the following equations by converting them into equations in the Cartesian…

A: The given data is: To identify the surfaces: z2=4+4r2

Q: Write the equation for the surface generated by the revolving curve y = 2x +1, revolved around the x…

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Q: find the perimeter of the ellipse x2/a2 + y2/b2 = 1.

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Q: Advanced Math Calculate the geodesic curve of the surface x^2 +y^2 -z=0

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

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Q: (a) What does the equation y = x represent as a curve in R?? O ellipse O cirde O hyperbola O…

A: We want to find true options.

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: Identify the type of surface represented by the given equation. x? ? z? 10 =D1 7 O Elliptical cone O…

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

Q: Find an equation for the surface obtained by rotating the curve  y = sqrt(x) about the x-axis.…

A: Given, y=f(x)=x

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: 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: 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: Write an equation for the level surface of f(x, y, z) = r² + 10y? + 20z2 corresponding to the level…

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Q: Answer the question below: 1.) The student task is to find an equation of the level of surface of…

A: We want to find the equation of the level surface.

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: Match the equation with the surface it defines. Also, identify each surface by type. 1. x = y? - z2;…

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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: A possible graphical representation for the surface of equation (y -k)? +B(x-h) = 0, with B > 0, is:…

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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: Identify and sketch the surfaces described by the given equations. Explain.

A: The given equation is the y^2 + z^2=1

Q: Identify the surface defined by the following equation. 2 y 3 15 The surface defined by the equation…

A: Topic = Geometry

Q: ) Classify the equations below as one of the following types of surfaces: A. parabolic cylinder, B.…

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

A: Sphere

Q: Choose the equation that represents the graph of the cylindrical surface below O2 + y? = 1, = 5 O…

A: We have plotted the graph:- second option

Q: ZA z = 1/x y = 1/x z = y/x yz = 1

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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: Find the traces for the given surface: 16x? +16y² – 9z = 0. Then sketch and identify the surface.…

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Q: Describe and sketch the surface represented by the given equation.y=-2

A: Given equation : y=-2 The graph of the equation is given below:

Q: Identify and sketch the section of the surface at x = 0. 16 16 Type of the surface:

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Q: Identify the type of surface represented by the given equation. x? y? ? O Hyperboloid of two sheets…

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