Find the parametric representation for the surface with the given boundaries. The part of the sphere x^2+y^2+z^2=144 that lies between the planes z=0 and z=6root3

Q: Classify the quadric surface. 16x2 - y2 + 16z2 = 4 %3D O hyperboloid of two sheets O elliptic cone O…

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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: Draw the parameterized surface

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Q: Classify the surface: 2 = 3y + z Ellipsoid O cone Elliptic paraboloid O Plane O sphere السابق

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Q: 2(a) Explain centroid of a triangle and rectangle with sketch.

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Q: Classify the quadric surface. x2 - y + z? = 0 O hyperbolic paraboloid O elliptic paraboloid O…

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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: A surface is defined by coordinate or parametric functions of more than two variables. Select one:…

A: A surface is defined by coordinate or parametric functions of more than two variables.

Q: Classify the quadric surface. x2 - y2 + z = 0 O hyperboloid of one sheet O hyperboloid of two sheets…

A: Classify the quadratic surface.

Q: Classify the quadric surface. x2 - y2 + z = 0 O hyperboloid of two sheets O elliptic paraboloid O…

A: Given : x² - y² + z = 0

Q: Classify the quadric surface. x2 - y + z? = 0 ellipsoid O hyperboloid of one sheet O elliptic…

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Q: Explain whether the cylindrical surface and the spherical surface may be homeomorphic?

A: To explain: Whether there is a chance that the spherical and cylindrical surfaces are homomorphic.

Q: Identify and sketch the quadric surface. Use a computer algebra system to confirm your sketch. 9x2 +…

A: Quadric surface: A quadric surface is a graph in the three dimensional space with the equation z=fx,…

Q: Classify the quadric surface. 16x2-y2 + 16z2 = 4 %3D O hyperboloid of one sheet O hyperbolic…

A: Given quadric surface is 16x2-y2+16z2=4

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: Find an equation of the sphere with center (1, -8, 3) and radius 5. (x – r- 1)² + (y + 8)² + (z –…

A: Given: Center of the sphere (1, -8, 3) and radius of the sphere is 5. To describe: The intersection…

Q: Sketch the curve of intersection of the surfaces. The ellipsoid 2x + 2y² + z² 24 and the paraboloid…

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Q: Find a parametric representation of the line of intersection of the two given planes 2x+y-z=6…

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Q: Find the area of the surface. The portion of the plane z = 6 - 3x – 2y in the first octant

A: We need to find the area of the portion of the plane z=6-3x-2y in the first octant. Let f(x, y) =…

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 a parametric representation for the surface.

A: To find a parametric equation we have to convert cartesian coordinate to spherical coordinate…

Q: Classify the quadric surface. 16x2 – y2 + 16z²2 = 4 %3D O hyperboloid of two sheets O elliptic cone…

A: Classify the equation.

Q: Classify the quadric surface. x2 - y2 + z = 0 O hyperbolic paraboloid elliptic paraboloid ellipsoid…

A: The general form of hyperbolic paraboloid is ax^2-by^2=cz Here, a= 1, b=1, c= -1. Therefore, the…

Q: Classify the quadric surface. x2-y2 + z = 0 O elliptic paraboloid O hyperbolic paraboloid O…

A: The objective is to classify the quadric surface.  The graph is given below.

Q: 13. classify the surface: * 1 – y = 5x² + 6z² Elliptic paraboloid Cone O Sphere Plane O Ellipsoid

A: The given equation of the surface is: 1-y2=5x2+6z2

Q: Classify the quadric surface. z2 = x2 + Y 9 O elliptic cone O elliptic paraboloid O hyperboloid of…

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

A: To reduce the given equation into standard forms to classify it and sketch it. And also to give…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis

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Q: ify and sketch the

A: Given,       9x2+25y2-16z2=0

Q: Identify the surface Describe the surface with the given parametric representation. r(u, v) = ⟨u, u…

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Q: Classify the quadric surface. z2 = x2 + y2 9 O elliptic paraboloid O hyperboloid of two sheets O…

A: Classify the quadric surface.

Q: Classify the quadric surface. x2 - y2 + z = 0 O ellipsoid O elliptic paraboloid O hyperbolic…

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Q: Find a parametric representation for the surface. The part of the sphere  x2 + y2 + z2 = 100 that…

A: First, use the spherical coordinates to transfer the equation into them.The whole sphere is given…

Q: Classify the quadric surface. 2 x² + y² + z² = 1 4 ellipsoid hyperboloid of two sheets. hyperbolic…

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Q: Find the first fundamental form of surface of revolution?

A: Suppose M is a surface determine by , Xu , v ⊂ E3. Suppose αt is curve on M , where t ∈ a , b. Here…

Q: Find a parametric representation of the cone z = /3x + 3y² in terms of parameters p and 0, where (p,…

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Q: Classify the quadric surface. 22 = x2+ y? O hyperboloid of two sheets O ellipsoid O hyperboloid of…

A: Solution :-

Q: Classify the surface: 1– x = 3y² + 4z² O Elliptic paraboloid O sphere O Ellipsoid O Plane O cone

A: In this question we have to classify the surface.

Q: Identify the surface whose equation in spherical coordinates is given by p= 2 cos o O Cone O Sphere…

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Q: Classify the quadric surface. x2 z = y2 16 ellipsoid O elliptic cone elliptic paraboloid O…

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Q: Classify the quadric surface. 4x2 - y2 - z2 = 1 %3D O hyperboloid of one sheet O hyperbolic…

A: The quadratic equations in the three dimensional space represent quadric surfaces.  The general…

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. ху %3D 2

A: Here, function is given which graph is basically a rectangular hyperbola. These given function is…

Q: Identify the surface whose equation in spherical coordinates is given by p= 2 cos o %3D O Sphere…

A: Converting spherical coordinate into rectangular coordinate.

Q: Classify the surface: 1- x = 3y2 + 422 O Ellipsoid O cone O Elliptic paraboloid O Plane sphere

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Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x2 + y2 + 4z2 = 4,…

A: The given ellipsoid is 4x2+y2+4z2=4. The given equation of half-cone is y2=x2+2z2. In this question…

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. z = 2 - y2 cone ellipsoid O hyperboloid elliptic cylinder O hyperbolic…

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