Describe the surface whose equation is 2a2 + 2y? + 222 – 5x – 9y + z – 2 = 0. | NOTE: Enter the exact answers. Surface description: Choose onev Choose one sphere point no graph

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: Describe the surface with equation x² + y? +z? + 10x + 4y + 2z – 51 = 0 The surface is a sphere with…

A: solution:-x2+y2+z2+10x+4y+2z-51=0complete the…

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: 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: Identify and draw a sketch of the surface having the equation z = 3x^2.       parabola…

A: Find your answer below

Q: Match the equation with the surface it defines:

A: given equation is x24+y24=z249

Q: Consider the Folowing equation of a quadric surface 4×^2+9y^2+9z^2=36 a. Find the intercepts with…

A: Given question is Consider the following equation of a quadratic surface4×^2+9y^2+9z^2=36. We have…

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: 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: Describe the surface with cylindrical equation r=6. Hint The 8 and 2 components of points on the…

A: We have to find the surface whose cylindrical equation is given by : r=6

Q: y2 z2 What is the equation of the surface of = 1 is revolved on its y and z axis 4 revolution and…

A: We will use the application of cylindrical coordinates to find the equation of the surface of…

Q: 3. 4x+y 4

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Q: Describe the traces of the surface in the given planes. See Example 2. y2 + z? - x2 = 5

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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: Describe the surface whose equation is 2x2 + 2y? + 2z2 – x Зу + 72 — 2 — 0. NOTE: Enter the exact…

A: We need to find surface of equation.

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: Identify the surface that corresponds to the equation 3y^2 - 2x - 8z^2 = 0. O elliptic hyperboloid…

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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: 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: 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 surface whose equation is 2.x + 2y? + 2z - 5z - 9y +3z- 2 = 0. NOTE: Enter the eract…

A: Given equation is equation of sphere.

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

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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: Describe the surface with equation The surface is a sphere with center { i x² + y² +2²³ + 10x + 6y +…

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Q: x² A quadric surface is defined by the equation: + 3y² = 3 + z 3 1. Solve the equation of the traces…

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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: Describe the surface whose equation is 2x2 + 2y + 2z² – x- 5y + 7z – 2 = 0. NOTE: Enter the exact…

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

A:

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

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

A: We need to describe the surface for given equation.

Q: A surface in space is defined by the equation -4x? + 16y- 8z2 = 0. Which one of these is true? O The…

A:

Q: Consider the following equation of a quadric surface. 4x? + 16y? + 16z? = 64 a. Find the intercepts…

A: The graph of the given surface is given as follows :

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

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

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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: Find an equation for the surface consisting of all points that are equidistant from the point (-4,…

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Q: Build surfaces and determine their appearance (name)x2+2y2-2z=0

A: Consider the provided equation,

Q: The equation of a surface is shown below. Which among the choices best describes the surface…

A: For the given statement

Q: Consider the equation below. 16x2 + y? + 16z2 - 8y – 160z + 400 = 0 Reduce the equation to one of…

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

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Q: Describe the surface whose equation is 2x² + 2y² + 2z² – x – 5y + 7z – 2 = 0. - NOTE: Enter the…

A:

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: Consider the following equation of a quadric surface. 9x2 + 4y? + 4z? = a. Find the intercepts with…

A: Question is solved.

Q: Describe the surface whose equation is 2x2 + 2y? + 2z² – 9x – y + 3z – 2 = 0. - - NOTE: Enter the…

A: The given equation is 2x2+2y2+2z2-9x-y+3z-2=0

Q: 2. (a) Place the equation 4x2 +9y2 + 4z2 - 24x + 8z +4 = 0 in standard form and identify and…

A: We have to convert equation into complete square form of variable eg (x-a)2 , (y-b)2  and (z-c)2  to…

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

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

A: