Determine the projection of the surface - y² = z on the xy-plane? (H - Ellipse Нуperbola Two Parallel Lines

Q: Find the area of the surface generated when the curve y [2,4] is rotated about the y-axis.

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Q: Obtain all the umbilical point of the Hyperboloid of two sheets {x^2+y^2-z^2=1}.

A: consider the equation {x2+y2-z2=1}

Q: 13. Find the area of the surface generated when the curve y = -, on [2,4] is rotated about the…

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Q: Find the area of the surface. The portion of the plane z = 24 - 3x - 2y in the first octant

A: ⇒Given:-  Equation of plane                      z=24-3x-2y  in 1stoctant In intercept form,…

Q: Classify the quadric surface. z2 = x2 + y? %3D O ellipsoid O hyperboloid of one sheet O hyperboloid…

A: The solution are next step

Q: find a parametrization of the surface Parabolic cylinder between planes The surface cut from…

A: To find a parametrization of the surface: Given that, Between the planes z=0 & z=3 Thus, 0≤z≤3…

Q: find the areas of surfaces generated by revolving the curves about the given axes

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Q: 10. у %3D /5 — х, 3 <x < 5

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

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Q: Find the standard equation of the sphere with the given characteristics. Center: (−4, 0, 0), tangent…

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Q: Find the Area of the Surface obtained by rotating the curve about the y -axis y = √√x, 1 ≤ y ≤2

A: Given y=x13    1≤y≤2Rotating about y-axisarea of surface of revolution about tghe y…

Q: Find the area of the surface obtained by rotating the curve y = 4x + 4, 0 < x< 8, about %3D the…

A: To find- Find the area of the surface obtained by rotating the curve y2 = 4x + 4, 0 ≤ x ≤ 8, about…

Q: The area of the surface obtained by rotating the curve y = V9-x2, -1sxs1 about the x-axis is mit…

A: Use formula of surface area about x axis

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

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Q: Determine the area of the surface generated by rotating around the "y" axis, the curve described by:

A: Here, the given parametric curve is: x=t33, y=t+1; 1≤t≤2⇒x'(t)=t2, y'(1)=1 Now, the surface area…

Q: Find a parametrization for the sphere of radius 2.

A: Consider the equation of the sphere x2+y2+z2=22. Here the sphere is centered at origin.

Q: Find the area of the surface obtained by rotating the parabola 1 y = 0 <x < 2, about the y-axis.

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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: 3. Calculate the centroid of the given illustration below. y-axis 7.5ft- 4ft 2ft 5ft- х-ахis 2ft

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Q: Identify the surface defined by x - y – 4x + z² +6= 0 O hyperboloid of two sheets O elliptic cone O…

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Q: Sketch the curve of intersection of the surfaces. The paraboloids z = x² + y² and z = 25 – x – y².…

A: Given that: z=x2+y2      ......(1)z=25-x2-y2      ......(2)

Q: Find the distance between the point (0,0, 8) and the plane given by 2x – y + 2z – 1 = 0.

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Q: Identify the surface whose equation in spherical coordinates is given by P=6 cos o O Paraboloid O…

A: We will identify the given surface.

Q: What is the highest point on the ellipse that is the intersection of the plane z+y+ 2z = 2 and the…

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Q: ify and sketch the

A: Given,       9x2+25y2-16z2=0

Q: Find the area of the surface obtained by rotating the curve x = 3 (y + 2)3/2, 1 <y< 2, about the…

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Q: Let S be the surface obtained by revolving the plane curve 2x = /9 – y² about the y-axis.

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Q: Identify the surface defined by x– y – 4x + z² +6= 0 O hyperboloid of two sheets O elliptic cone O…

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Q: A mirror for a reflecting telescope has the shape of a finite paraboloid of diameter 0.3 meters and…

A: Equation of a circular paraboloid  f=r24d here, f= focal length along the axis of symmetry from the…

Q: Find the area of the surface. The surface cut from the “nose” of the paraboloid x = 1 - y2 - z2 by…

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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: 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: Find the surface area of the portion of the cone x² + y² = z² above the region inside the…

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Q: ) Find the points on the ellipsoid 6x² + y² + 3z² = 4 where the tangent plane is parallel to the…

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Q: Identify the surface whose equation in." spherical coordinates is given by p = 8 cos ø Cone O…

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Q: Identify a generating curve on the rz-plane for the surface of revolution with equation 1² + y² + zª…

A: The equation of the surface of revolution given is as follows:…

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 given by equation and determine its standard form.−x 2 − y2 − z2 + 4x y…

A: Given quadric Surface is         -x2-y2-z2+4xy +4xz+4yz =3 Comparing it to the general form,…

Q: area of the surface obtained by rotating the curve y=x^3, x ∈ [0

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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: Use  inertia  to  classify  the  quadric surface  given by equation. x2 + y2 + 2z2 − 2xy − 4xz − 4yz…

A: We have to use  inertia  to  classify  the  quadratic surface  given by equation. x2 + y2 + 2z2 −…

Q: Find parametrization of the horizontal circle of radius 4 with center (5, -2, 6). r(t) = %3D

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Q: Identify the surface defined by x- y - 4x + z2 = 4 O hyperboloid of two sheets O elliptic cone O…

A: Thanks for the question :)And your upvote will be really appreciable ;) option A ) Hyperboloid of…

Q: A line intersects the xy plane at an x– intercept of N and a y intercept of F. Determine the volum…

A: Given:- A line intersects the xy plane at an x intercept of N and a y intercept of F.  To find :-…

Q: 4. Find the centroid of a thin flat plate covering the region enclosed by the parabolas y = 2r and y…

A: The given problem is to find the centroid of the thin flat plate covering the region enclosed by…