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

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: Match the equation with the surface it defines:

A: given equation is x24+y24=z249

Q: Which of the following is the total length of the curve of intersection of the surfaces x2 + y? + 22…

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Q: Identify the type of surface represented by the equation z2 x2 %3D 10 10 6. Parabolic cylinder…

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Q: Identify and sketch the section of the surface at x = 0. 25x + 4y? – 16z = 0 %3D Type of the…

A: Question is solved.

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

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Q: What is the equation of the surface revolved about the x-axis for z² - xz = ln x + 3x? A. y² + z² =…

A: Given: The equation of surface which is z2-xz=lnx+3x. This equation is a quadratic equation for z.…

Q: sketch the given surface. x 2+ 9y 2 + 4z 2 = 36

A: To sketch the given graph

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

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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: Sketch and identify the surface given by the equation Z=: x² +

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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: Sketch the given surface (x/4)^2 + (y/8)^2 + (z/12)^2= 1

A: Given: x42+y82+z122=1

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 and sketch the section of the surface at x = 0. 2y? – x + 22 = 50 Type of the surface:

A: This question is related to conic section .solve in step 2.

Q: Given the expression x⁴-3x+7=y³ on the interval [3,5], determine the surface of revolution if it is…

A: Given that, the expression is x4-3x+7=y3.

Q: Find the exact area of the surface obtained by rotating the curve about the y- axis: y = 3 + 5x?,…

A: Consider the given function and interval. y=3+5x2, 3≤x≤8 If y=f(x) is function and the interval of 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 surfaces 1. x2 + y2 = 4  2. x2 + 4z2 = 16

A: The given surfaces are sketched using online 3D calculator.

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: Identify the surface in the xyz coordinate system given by the equation: z=-√(4-y^2) O cylinder O…

A: Let's find.

Q: Sketch the section of the surface at y = 0. 1 + x² + y² Z = 4 -8 -6 -4 -2 4 4 6. 4 -8 -6 -4 -2 2. 4…

A: Given data is: To sketch the surface at y=0 z=1+x2+y2

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: (a) What does the equation x² + y´ = 1 represent as a curve in R? (b) What does it represent as a…

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

A: Given Equation is :                                  y=x24+z28y=2x2+z282x2+z2=8y   Since,…

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

A: The given equation is   z=x2+2y2at-1≤x≤1and-2≤y≤3

Q: Match the graph of the surface with one of the contour maps. f(x, y) = el - x2 + y2 3 4 N

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

A: The graph of the given surface is

Q: Find the cylinder surface determined by Curve 4x?+9g? -36=0 and d= ( 1, -1. 32 line.

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Q: Identify the following surfaces and sketch your graphic: A)4x² + y²-2y+9Z-35=0 B)y² + 4z² =x

A: Quadric Surface: A graph of a function of two variables z=fx, y is called a quadric surface. There…

Q: x = z? + y? Name of the surface

A: x=z2+y2 We need to name the surface.

Q: (a) x² + 2x + 4y² + 16y + 9z? 19

A: Sketch and identify the surfaces: (a) x2+2x+4y2+16y+9z2=19.

Q: Sketch the surface in R' of the equation presented. x2 + y? - 8x = 0

A: Sketch the graph on xy-plane, i.e., when z=0

Q: Sketch the graph of the equation in xyz coordinate system and identify the surface 8x? + 4y? – z2 =…

A: Sketch the graph for the given surface.

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: Describe the surface given by the equation, and find xy-trace, xz- trace, and yz-trace. 16x2 + 16y?…

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

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Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² + y²

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Q: Find the slope of the surface z = 3x/y at the point (5,2,15/2) in the x- and y- directions.

A: Given data is: z=3xy  To find the slope of the surface z at the point 5,2,152 in the x and…

Q: What are the reace curves of this surface for x=0, y=0, and for z=k? Name the shape of the surface.…

A: Note : In the question it has to be '' trace curves '' instead of '' reace curves ''. So, we are…

Q: Match the graph of the surface with one of the contour maps. f(x, y) = el=x*+y

A: Graph of given multivariable function is

Q: Express the following equations in standard form to name the corresponding surface and sketch a. x²…

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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 surface given by the function. z= 9-x?-y? 2x -2 2x

A: Answer

Q: The surface given by z = x² – y? is cut by the plane given by y = 3x, producing a curve in the…

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Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹-x² - y² O O X x

A: Given that       f(x,y) = e1-x^2-y^2