find a parametrization of the surface Circular cylinder band The portion of the cylinder (x - 2)2 +z2 = 4 between the planes y = 0 and y = 3

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Q: find a parametrization of the surface. The cap cut from the sphere x2 + y2 + z2 = 9 by the cone z =…

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Q: The solid region bounded on the sides by the paraboloid z = 4-x-y, above by the plane z= 3, and…

A: The Equation of paraboloid: z = 4-x2-y2The equation of upper plane: z = 3The equation of lower…

Q: Describe the set in cylindrical coordinates. (Enter 0 values between 0 and 27.) x² + y2 + z2 = 9, x…

A: Use the spherical coordinates for the x and y to find the spherical coordinates of z.

Q: find a parametrization of the surface Circular cylinder band The portion of the cylinder y2 +(z -…

A: Given:The portion of the cylinder y2+(z-5)2=25 between the planes x=0 and x=10.

Q: Find parametrizations The portion of the hemisphere x2 + y2 + z2 = 10, y>= 0, in the first octant

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Q: (a) Give a parametrization of the portion of the sphere x² + y² + z² = 9, restricted to the region y…

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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

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Q: Find the moment of inertia of the area of the loop y2=x2(1-x), with respect to y-axis

A: We have to find the moment of inertia of the area of the loop y2=x2(1-x), with respect to y-axis.

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Q: find a parametrization of the surface. 1.The portion of the cylinder (x - 2)2 + z2 = 4 between the…

A: 1) Given information:

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Q: Find the area of the surface. The portion of the plane y + z = 4 that lies above the region cut from…

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Q: endicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

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Q: Find the area of the surface generated by revolving the curves about the indicated axis. x = t +23,…

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Q: Surface S is the portion of the cylinder x^2 + y^2 = 9 lying above the plane z = 1 and below the…

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Q: A thin plate of constant density d = 1 occupies the region enclosed by the curve y = 36/(2x + 3) and…

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Q: Give an arclength parametrization of the line which is the intersection of the tangent planes of…

A: Let First, find the tangent planes at (1, -1, 0), (1, 2, 9).     Tangent plane at (1, -1, 0):…

Q: Use a parametri. tion to express the area of tne surface as a double Integrai. Then The portion of…

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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: Find a parametrization of the line in which the planes x + y+z= - 1 and x+y=4 intersect. Find the…

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Q: Find the points on the surface y = 9 + xz that are closest to the origin. (x, y, z) = (smaller…

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Q: - S is the surface with parametric equations x = 3u+v, y = 3u-v, z = uv for (u, v) in the region D…

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Q: 2. Let S be the portion of the paraboloid y = 9x² - z² with y ≥ 0. a) Provide a vector-valued…

A: let S be the portion of the paraboloid y=9-x2-z2 with y≥0 (a) provide a vector valued function that…

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Q: Consider the surface 2? - y + z? + 2az = 9. (a) Parametrise the surface in terms of two scalar…

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Q: Consider the surface S given by 4x2 + 4z2 = (1 + y)?, 0 < y < 2. Compute: (a) a normal vector at…

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

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Q: use Cylindrical coordinates to the Vaume of the Solid bovnded by the parabolo ld z=16-x²-y? %3D

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Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

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Q: find a parametrization of the surface. The first-octant portion of the cone z = sqrt(x2 + y2)/2…

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Q: Let S denote the plane /2x – y + z = 1. By interpreting this plane as the graph of a function, we…

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