Describe the surface with equation x² + y? + z? + 8x + 4y + 2z – 4 = 0) The surface is a sphere with center ( i i i ) and radius i

Q: z =x' +y° +1 Y L x' +y? -z? = 1 LY

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Q: Describe the surface with equation x² + y? +z? + 10x + 4y + 2z – 51 = 0 The surface is a sphere with…

A: solution:-x2+y2+z2+10x+4y+2z-51=0complete the…

Q: a? + y? + z² 8x + 8y = 49. 1. Find the radius of the sphere. Radius: r = 2. Find the center of 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: . Determine the area of the surface with parametric equations a = 2u?, y = v², z = 2uv, 0 <u < 3, 0…

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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: 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: 2. Given the quadratic surface S by the equation below, determine the type of surface. 2x? + 3y? +?…

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

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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: Describe the surface with cylindrical equation r=6. Hint The 8 and 2 components of points on the…

A: We have to find the surface whose cylindrical equation is given by : r=6

Q: hoose the correct equation for a sphere centered at (1, –2, 1) with radius 7. O (x + 1)² + (y + 2)²…

A: Given that centre is (1,-2,1) and redius (r)=7 . And we find equations of sphere.     Here i…

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 points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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

A: Let's find.

Q: 21 y2 a. x + 1 %3D

A: The given equation is x21+y29+z24=1We know the general equation of ellipsoid is x2a2+y2b2+z2c2=1So…

Q: Q: Discuss fallowing the Surfaces' and find ntercepts and Tra ces . ux? +uys +z² + 2 - 16 =0 ·

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Q: Identify the surface 2x² + 4y? – 1=0. A. An elliptic cylinder. B.Ahyperbolic cylinder. OC. None of…

A: We will solve the problem

Q: 1. Find an equation for the set of points whose distance from the plane z =8 is twice the distance…

A: SOLUTION-

Q: Describe the surface in three-dimensional space given by the equation x2+ y2+ z2 -8z=9 O a. A sphere…

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Q: Describe the surface with equation 2 + y? + 2? + 12x + 8y + 2z – 11 = 0 The surface is a sphere with…

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Q: |Consider the sphere (x – 5)² + (y – 4)² + (z – 3)² = 25 (a) Does the sphere intersect each of the…

A: Sphere

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: dentify the surfaces of the following equations by converting them into equations in the Cartesian…

A: The given data is: To identify the surfaces: z2=4+4r2

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: Choose the equation that represents the * graph of the cylindrical surface below -25 -20 -15 -15 -10…

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Q: I just need #36.

A: Given the equation

Q: Describe the shape of the surface: x? + y2 = 9. How would you describe the curve of the intersection…

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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: x² A quadric surface is defined by the equation: + 3y² = 3 + z 3 1. Solve the equation of the traces…

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

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Q: 5) Classify the surfaces, listing shape, location, and orientation: a. 4(x-1)2 + 9y+1)² + z² = 36…

A: Given:  4(x-1)2+9(y+1)2+z2=36 ⇒4(x-1)236+9(y+1)236+z236=1⇒(x-1)29+(y+1)24+z236=1 This is of the form…

Q: Determine the projection of the surface - y = z on the xy-plane? (Hint: z = 0) O Hyperbola O Ellipse…

A: projection of the surface

Q: 100% 10. Consider the portion of the plane a+2y+3z 12 that sits above the circle (z-2) + (y- 2) = 4.…

A: The solution are next step

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 an equation in cylindrical coordinates for the surface represented by the rectangular equation.…

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Q: Find the center and radius of the sphere. x² + y² + z? + 4y – 14z – 28 = 0 %3D center (x, y, z)…

A: We have to find the center and radius of the sphere…

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

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Q: Classify and sketch the surface 12x? – 3y? + 4z? = 12 What are the 3 traces? Show equations of the…

A: A quadratic surface is a hypersurface. It is nothing but the generalization of a conic section in…

Q: Consider the following equation of a quadric surface. 4x? + 16y? + 16z? = 64 a. Find the intercepts…

A: The graph of the given surface is given as follows :

Q: ) Classify the equations below as one of the following types of surfaces: A. parabolic cylinder, B.…

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Q: 16. classify the surface: * 1- y? = 5x2 + 6z? Sphere Elliptic paraboloid Cone Plane Ellipsoid

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

A: Sphere

Q: x2 (z – 1)? +1= 0. 4 4 9.

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Q: Describe the surface whose equation is 2x² + 2y² + 2z² – x – 5y + 7z – 2 = 0. - NOTE: Enter the…

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Q: Find an equation which describes the surface created by rotating (1, V1,0) around the r-axis. Note…

A: Definition:   If the curve y=f(x),  a ≤ x ≤ b  is rotated about the x−axis, then the surface area is…

Q: Find the area of the surface cut from the paraboloid x? + y +z=0 by the plane z= - 20. The surface…

A: The given equation of paraboloid is: x2+y2+z=0

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

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