Find an equation of the surface consisting of all points P(x, y, z) that -1 as from the point (0,0, 1). are twice as far from the plane z = Identify the surface. Equation: Choose one ellipsoid paraboloid Type of surface: sphere cone

Q: The top of a rubber bushing 1 surface of revolution generated by revolving the curve z= +1, (0sys2)…

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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: Find an equation of the surface consisting of all points P(x, y, z) that are twice as far from the…

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Q: Find an equation of the surface consisting of all points P(x, y, z) that are twice as far from the…

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Q: Find the area of the surface. The part of the surface z = 9 + 5x + 2y2 that lies above the triangle…

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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: The set of all points equidistant from the point (0, 2, 0) and the plane y = −2, find an equation of…

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Q: Identify the quadric surface z =- y? -* as an ellipsoid, hyperboloid of one sheet, hyperboloid of…

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Q: The traces of the surface x2 – y? + z2 = 8 in the planes parallel to the coordinate planes and…

A: Here we have to find the surface in the given traces.

Q: Find the area of the surface. The part of the plane  z = 3 + 2x + 5y  that lies above the rectangle…

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Q: The surface S formed by the point P(x,y,z) such that the distance from P to the point A(1.0,-1) is…

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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.The part of the surface 2y + 4z − x2 = 5 that lies above the triangle…

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z2 = 16 that lies above the plane z =…

A: The objective is to find the area of the surface of the part of the sphere x2+y2+z2=16 that lies…

Q: equantion for the tongent plane to the quadratic Z =4x² +y" at the point (4,4,5). Find an surface

A: we have to find the equation for the tangent plane

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

A: Given:    Surface y2=z3 : about the z-axis. Find:- (a)Draw the graph of surface (b)an equation of…

Q: Find the area of the surfaces The surface cut from the bottom of the paraboloid z = x2 + y2 bythe…

A: The formula for the surfaces area of the paraboloid above the region R is: A=∬Rzx2+zy2+1dxdy Where,…

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: Determine the area of the surface. The part of the surface z=1+3x+2y^2 lying on the triangle with…

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z2 = 16 that lies above the plane z =…

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Q: Find the area of the surface. The part of the surface 2y + 4z - x2 = 5 that lies above the triangle…

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Q: I just need #36.

A: Given the equation

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

A: Point (0, -3,0) Y= 3

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: 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: Consider the equation surface S in the 3D space given by the equation z = x³ – 1. Let C be the curve…

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Q: Let S be the surface with equation (z - 4)² = 4x² + 4y². Viewing S as a surface of revolution, find…

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Q: classify the quadric surface given by equation and determine its standard form.x 2 + y2 − z2 − 2x −…

A: The given quadric surface is  x2+y2-z2-2x-4y-4z+1=0 To reduce to its standard form,…

Q: (a)) The base point of the surface is (0,0,0) and its axis (of symmetry) is the line (x, y, z) = (0,…

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

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Q: Find the center and radius of the sphere. x2 + y2 + z2 - 18y + 12z + 36 = 0 (x, y, z) = ( 0,9, – 6…

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Q: Find the area of the surface. The part of the surface  2y + 4z − x2 = 5  that lies above the…

A: According to the given information, it is required to find the area of the surface.

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

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Q: Find the surface area of the ellipse that lies on the plane z=11-3x+2y and inside the cylinder…

A: The plane z=11-3x+2y and cylinder is x2+y2=9. Obtain the partial derivatives of z=11-3x+2y:…

Q: Find the area of the surface. The part of the plane  z = 4 + 3x + 2y  that lies above the rectangle…

A: Consider the part of the plane that lies above the rectangle .

Q: Consider the surface x² - y² + z² = −4. A. Identify the name of the surface. B. The line…

A: We know general form of hyperboloid of two sheets is  -x2a2-y2b2+z2c2=1 where positive term is the…

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

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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…

A: Given - The surface z = x2 - y2 To find - The traces of the given surface in the planes x = k, y =…

Q: Find the area of the surface. The part of the sphere x2 + y2 + z2 = 4z that lies inside the…

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Q: Find the surface area of the part of the plane 3x + 3y+ z = 9 that lies above the triangle formed by…

A: In the question we have to find the surface area of the plane.

Q: Classify and Sketch the surface X2+ Zy² + Z? -4x+4y-2z+3:0

A: The given equation of the surface is x2 + 2y2 + z2 - 4x + 4y - 2z + 3 = 0.The general equation,…

Q: Find a parametric representation for the surface. The part of the hyperboloid 9x2 – 9y2 – z2 = 9…

A: Let u and v be two parameters for the given surface. Since the part of the surface lies in front of…

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Solution

Q: Identify and sketch the section of the surface at z = 0. v2 = 1 25 4 16 Type of the surface: too 4 4…

A: Solve the given

Q: Determine the equation of the surface of revolution obtained by rotating the curve in the z-plane z…

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Q: Find the area of the surface. The part of the surface  2y + 4z − x2 = 5  that lies above the…

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Q: Describe and sketch the surface y2 + z2 = 16

A: Given equation is y2+z2=16

Q: .. .. Find an equation for the surface of revolution formed by revolving the curve in the indicated…

A: Given equation of curve is z2 = 4y The radius of function about y axis is  z2 = 4yz = 4yz = 2yr(y) =…