Describe the surface whose equation is 2x² + 2y² + 2z² – x – 5y + 7z – 2 = 0. - NOTE: Enter the exact answers. Surface description: sphere▼ Center:(x, y, z) = |(?, ?, ?) Radius=

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: find a parametrization of the surface. 1.The surface cut from the parabolic cylinder y = x2 by the…

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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: For a given surface z-x^2-y^2=10 Find the parametric representation of the straight line which…

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

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Q: 32²+62-4x-3y+2=0. 1. identify the surface: Present a well-defined sketch of the surface.

A: Given, the surface               2x2-3z2+6z-4x-3y+2=0

Q: Describe the surface whose equation is 2.x2 + 2y? + 2z² – x - 9y+7z - 2 = 0. NOTE: Enter the exact…

A: topic- geometry

Q: Find the area of the surface. The part of the hyperbolic paraboloid  z = y2 − x2  that lies between…

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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: Describe the surface whose equation is 2x2 + 2y? + 2z² – 9x – 7y + z – 2= 0. NOTE: Enter the exact…

A: Given the equation of the surface 2x2+2y2+2z2-9x-7y+z-2=0.

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: Find an equation of the surface consisting of all points P(x, y, z) that -1 as from the point (0,0,…

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Q: Identify the surface by completing the squares. A hyperboloid of one sheet. O An elliptic cone. O A…

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Q: Find parametric equations for the surface obtained by rotating the curve y = 36x4 – x2, –6 <t< VI

A: Here we solve the given problem of calculus.

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: Describe the surface whose equation is 2x2 + 2y? +2z? – 3x 9y + 5z - 2 = 0. NOTE: Enter the exact…

A: Let's find.

Q: Classify and sketch the surface 4x2 − 3y2 + 12z2 + 12 = 0.

A: Solution:Given surface4x2 - 3y2 + 12z2 + 12 = 0    — 1divide equation 1 with -12,⇒ x2-3 + y2u - z2 -…

Q: Find an equation in cylindrical coordinates for the surface represented by each rectangular…

A: Given  x2+y2=4z2 It can be compared with the equation of elliptic cone with its axis along z-axis.…

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

A: The given equation of surface is: 2x2+2y2+2z2-x-5y+7z-2=0

Q: Identify the surface defined by the following equation. x2 +y? + 3z? + 14x= - 48 Select the correct…

A: The general equation of standard surfaces is given by: Cone:     z2c2=x2a2+y2b2 Ellipsoid:…

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: Consider the equation 4x2 – 36y2 – 9z² – 8x – 144y + 18z = 149. (i) Transform the equation into one…

A: Given equation is 4x2-36x2-9z2-8x-144y+18z=149

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: Classify the surface: 1- x = 3y? + 4z2 O Plane O sphere O cone O Elliptic paraboloid O Ellipsoid

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Q: Describe the surface whose equation is 20+ 2y + 2z-3x-5y+ 7z – 2 = 0. NOTE: Enter the exact answers.…

A: Equation of the surface is : 2x2+2y2+2z2-3x-5y+7z-2=0 We need to Center and Radius of the given…

Q: 4. The surface described by the equation x2 + y + z² = 0 is a(an) (a) elliptic paraboloid symmetric…

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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: 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…

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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: Find a parameterization for the surface obtained by rotating the parabola z = x^2 −1 around the z…

A: when surface rotate it form volume  then the volume form by the curve is V so V =π1615 detailed…

Q: Consider the surface. z2 = 25y %3D Identify the surface. O cylindrical surface O paraboloid O…

A: We have to identify the surface z2=25y.

Q: Describe the surface. x² + z² = 1 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

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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: Describe the surface whose equation is 2a2 + 2y? + 222 – 5x – 9y + z – 2 = 0. | NOTE: Enter the…

A: Sphere

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

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Q: Classify the quadric surface. −49x2 + y2 + z2 = 49

A: Given query is to find the shape of the surface.

Q: Using Stoke's Theorem Evaluate [(2x- y)dx – yz²dy – y° zdz) where is the circlex + y = 9…

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Q: Describe and sketch the surface y2 + z2 = 9

A: the given equation represents the cylinder where it forms the circle as the base on yz plane and is…

Q: Describe and sketch the surface y2 + z = 6

A: Graph: Given surface y2+z=6 Since one co-ordinate has power 2 and other co-ordinate has power 1. So…

Q: Describe the surface. x2 16 4. O cylinder O ellipsoid O cone O paraboloid O sphere Sketch the…

A: The equation represents surface of an ellipsoid

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: Classify the quadric surface. 4x? - y2 - z2 = 1 O hyperboloid of one sheet O hyperbolic paraboloid O…

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Q: Describe the surface whose equation is 2x2 + 2y? + 2z2 – 5x – 9y + 3z – 2 = 0. - NOTE: Enter the…

A: The objective of the question is describe the given surface equation.

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) =…

Q: Describe the surface. z = 2 - y2 cone ellipsoid O hyperboloid elliptic cylinder O hyperbolic…

A: z=2-y2 This equation is independent of x,

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

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