Describe and provide a rough sketch of the surface determined by the following equation: -x² +4y? - 4z? = 0 %3D

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: What is the equation of the surface revolved about the x-axis for z? – xz = In x + 3x? A. y? + z? =…

A: Given that z2-xz=lnx+3x The objective is to write the equation of the surface revolved about x axis.…

Q: Find the area of the surface generated by revolving x = t+2/3, y = +2/3t+3, -2/3 sts2/3 about the…

A: The surface area of disk is s=πr2 h  where r is radius and h is width

Q: Find the following: The traces of the surface x2 + y? + 22 = 6 in the planes parallel to the…

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Q: 1. Find the surface area generated by rotating the portion of the parabolic are y = x² from x = 0…

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

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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 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: d. x-2x +y? + z = 3

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Q: Find the exact area of the surface obtained by rotating the given curve about the y-axis. |x = 3t 0…

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Q: state the type of the quadric surface and describe the trace obtained by intersecting with the given…

A: x2+y42+ z2=1,y=5x2+y42+ z2=1

Q: d. x+ z = 5

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

Q: Identify the surface defined by the following equation. 2x-y +z? = 0 The surface defined by the…

A: Form of equation               Surfacex=Az2+By2                     Eliptic Praboloidx=Ay2-Bz2…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x3/9, 0…

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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: Determine the area of the surface with parametric equat ions x = 2u?, y = v², z = 2uv, %D 0<u< 3, 0<…

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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: Find the area of the surface generated by revolving the curve, x = /6y – y? ; 2sys 5

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Match the equation with the surface it defines. 22 x2 y2 = 1 6. 100 6. Figure 1 Figure 2 Figure 3…

A: option (4) is correct  i.e., figure 4 is correct using 3d grapher

Q: Find the area of the following surface using a parametric description of the surface.   The cap of…

A: Consider the surface that is the cap of sphere:

Q: Identify the surface below: 4z2 = 3x Select one: a. Hyperboloid of two sheets O b. Hyperboloid of…

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Q: Consider the surface 4a? – y? + 2z² + 4 = 0. a. Find the value(s) of k such that the cross-section…

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Q: 9a2 + 4y? + 36z? = 36 %3D

A: given surface 9x2+4y2+36z2=36 claim- to find the trace of given surface in planes x=k , y=k , z=k ,…

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: 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: 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: For the surface x? + y? = 2z? a) Find an equation in cylindrical coordinates

A: In this question, the concept of conversion of the coordinate system is applied. Cartesian…

Q: Identify the surface whose equation isľ = 3 sec (0). O Circle O Hyperbolic Paraboloid O Cone Sphere…

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Q: Match the equation with the surface it defines. f(x, y) = -√√x²+12 X O O O stisk 3

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the area of the surface generated by revolving x = t+2/3, y =+2/3t+1, -2/3 sts2/3 about the…

A: Find the area of the surface generated by revolving the graph of the following parametric equation…

Q: a. z? -y? -x?+ 4x= 5 by-3 = x?+z² 2

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Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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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: Find an equation for the surface generated by revolving the curve about the y-axis. y = 11x ,(z = 0)…

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Q: Use the computer to plot the surface x+ y +z = 1. What type of surface is this? Print your result…

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Q: Evaluate 3 dS, where S is the surface with parametric equations x = uv, y = u+ v, and z = u – v, for…

A: Parametric equations are obtained when all the dependent variables are dependent on independent…

Q: Given a surface, f(x,y,z)=15, explain what you would do to find the equation of the tangent plane at…

A: Procedure to find tangent plane at a point on the surface:

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

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Q: What is the area, br^2, of the surface of the revolution obtained by rotating the graph of the…

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Q: • Find the area of the surface generated by revolving about the x-axis the upper half of the ellipse…

A: IN THIS QUESTION WE HAVE TO FIND AREA FROM REVOLUTION OF A ELLIPSE.

Q: Identify the surface defined by the following equation. -x? -++ 8x- 10y = 45 Select the correct…

A: Above questions is solved.

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: Find the area of the surface generated by removing about the x-axis the upper half of the ellipse…

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

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Q: Find an equation for and choose the appropriate figure for the surface that results when the…

A: a)  Reflection about z=0 will invert the paraboloid  z=x2+y2  along z axis,  Hence,  now the…

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

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Q: Use traces to help identify the surface y = 9x2+25z?. O a. Hyperbolic paraboloid b. Cone O c.…

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