What is the name of the surface defined by the equation x2 y

Q: Explain why the curve of intersection of the surfaces x + 3y? – 2z2 + 2y = 4 and 2x? + 6y? – 4z2 –…

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Q: Identify and sketch the surfaces y = - (x2 + z2)

A: Given Data The equation of curve surface is y=-(x²+z²)   The sketch of the surface equation is,

Q: Identify and sketch the surfaces x2 + y2 - z2 = 4

A: Given, The surface is x2 + y2 - z2 = 4

Q: Sketch the surface.......... ASSORTED ............... 4y2 + z2 - 4x2 = 4

A: Given :             The given function is 4y2 + z2 - 4x2 = 4 And can be written as,…

Q: Sketch the surface..........CYLINDERS............. x2 + y2 = 4

A: x2+y2=4 Now, rewrite the above surface for the function as, z=fx,y. z=fx,y=4-x2-y2

Q: determine the type of the quadric surface  (x/3)2−(y/4)2− 2z2 = 0

A: given  (x/3)2−(y/4)2− 2z2 = 0 we need to find the type of quadric equation

Q: Identify the surface defined by the following equation. 2x-y²-z² =0

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Q: Reduce the equation to standard form, classify the surface and sketch it     x2 = 2y2 + 3z2

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

A: Let, P(x, y, z) be the point on required surface.

Q: Identify and sketch the surfaces 4x2 + 4y2 + z2 = 4

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

A: First put x=0 in the surface equation the new equation is standard ellipse equation .

Q: Q5 Sketch the surface whose equation is given by (2 – 2)° = (2x² + 4y°).

A: We will use basic of graph plotting.

Q: Describe and sketch the surface 4x2 + y2 = 4

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Q: name the surface represented by the equation r^2+z^2=4-2z

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Q: Describe in words the surface whose equation is given. p = 5

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Q: Find the minimum distance from the point to the surface z = √4 - 2x - 2y. (-2, -2, 0)

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Q: 4d. z =-x´ + y´ Name of the surface

A: The structure obtained from the given equation is more like of dome structure

Q: Find an equation for the surface consisting of all points that are equidistant from the point (-1,0,…

A: The given point and the equation of the plane from where all the points of the surface are…

Q: Sketch the surface with equation x^2 + y^2 + 2z^2 − 1 = 0.

A: The given equation is x2+y2+2z2-1=0

Q: What is the name of the surface defined by the equation y? x? + + 2z? = 1?

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Q: Identify the surface y − 3 = x² +.

A: Solution: Given data, y - 3 = x2 + z2

Q: Plot the surfaces over the indicated domains. Ifyou can, rotate the surface into different viewing…

A: We need to plot the surface over the indicated domains. We have to rotate the surface into different…

Q: Sketch the surface: x + 2y + 3z = 12.

A: First find the intersection of plane with axis then draw the plane.

Q: Identify and sketch the surfaces x2 + z2 = y2

A: Given surface is x2+z2=y2. The given equation is in the form of x2a2+z2c2=y2. So, the given surface…

Q: Identify and sketch the surfaces x2 + (y - 1)2 + z2 = 1

A: given: the equation of the surface x2+y-12+z2=1

Q: Match the graph of the surface with one of the contour maps. /x, y) = el-x+y

A: By using graphing plotter, (x,y,z)=(x,y,f(x,y)).

Q: Identify the surface defined by the following equation. y 2 x2 Z= 10 16 The surface defined by the…

A: The given surface represents a Hyperbolic parabola.   A hyperbolic paraboloid is represented as…

Q: Identify the surfaces represented by the equations and sketch their graphs. 1. x2 + 4y2 + 9z2 36

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Q: Sketch the section of the surface at y= 0. 4. + 9 36

A: Given the equation4x2+9z2=36

Q: What is the name of the surface defined by the equation -y? + x? = 1?

A: We have to find surface name defined by the equation -y2-z22+x2=1

Q: Describe and sketch the surface x2 + z2 = 4

A: Given- x2+z2=4 To sketch- The graph of the above function and explain it.. Concept Used- The…

Q: Sketch the surfaces ASSORTED 16x2 + 4y2 = 1

A: we have to sketch the the surface 16x2+4y2=1

Q: Use traces to graph and name the surface

A: The given surface is: x24-y29+z216=1...(1)

Q: Identify and sketch the surface by plotting different traces of (x – 1)2 – (x + 2)2 - (z + 4)² = 0.

A: According to the given information, it is required to identify and sketch the surface.

Q: 12. 4x² + 9y² + 9z² = 36

A: Given: 4x2+9y2+9z2=36

Q: draw vertical and horizontal traces to identify the surface y = x^2 + 9z^2

A: The graph of the given surface is

Q: Determine the shortest distance from the surface xy+3x+z2=12 to the origin.

A: Given surface equation is

Q: Plot the surface of 6a2- 2x4- y?z2 = 0, for -10 <x, y, z < 10

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Q: Describe and sketch the surface 16x2 + 16y2 − 9z2 = 0

A: Given surface 16x2+16y2-9z2=0

Q: The slope of the surface z = xy2 in the x-direction at the point (2,3) is ______, and the slope of…

A: Given, surface, z = xy2Differentiating the z with respect to x assuming y as constant,∂z∂x = y2×1 =…

Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: Sketch the section of the surface at y = 0. 4 2 -2 -6 -4 -6 -4 4 6. -61

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Q: Sketch the section of the surface at y 0. -6 -4 -2 6. -2 2 -6 -4 -6 -4 -2 -6 -4

A: The objective of the question is sketch the section of the surface at y=0.

Q: Plot the surfaces over the indicated domains. Ifyou can, rotate the surface into different viewing…

A: To Plot: Plot the surface over the indicated domains:z=y2-2≤x≤2-0.5≤y≤2

Q: Identify and sketch the section of the surface at x = 0. 4 Type of the surface: 6. 6- 2 -8 -6 -4 4 6…

A: Given the surface

Q: Sketch the section of the surface at y = 0. z = 6r 4 2 -6 -4 -2 6. -4- -6 6r 4 2 -6 -4 -2- -4 4. 2.…

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Q: Sketch the graph of -x + 9y² – 4z² = 36 and identify the surface. %3D

A: Given a function in terms of x, y and z. Here x and y are independent variables and z is a dependent…

Q: Describe and sketch the surface y = z2

A: Solution: Consider the given surface y = z2 On the y z-plane, it represents a parabola that opens in…

Q: Match the surface shown to the graph of its level curves.

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