Find the area of the surfaces defined as follows (You must choose a parameterization) 2.- The...
Find the area of the surfaces defined as follows (You must choose a parameterization) 2.- The portion of the cone between the planes z = 2 and z = 6.
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Find the area of the surfaces defined as follows (You must choose a parameterization)
2.- The...
Q1. Sketch and find a parameterization of the following surfaces (a) (Spherical cap) The portion of the sphere by *+y+-16 cut by the vertical plane y 3, containing the point (0,4,0) (b) (Circular cyl...
Q1. Sketch and find a parameterization of the following surfaces (a) (Spherical cap) The portion of the sphere by *+y+-16 cut by the vertical plane y 3, containing the point (0,4,0) (b) (Circular cylinder band) The portion of the cylinder y+z+5)2 25 between the planes x--2 and x-2.
Q1. Sketch and find a parameterization of the following surfaces (a) (Spherical cap) The portion of the sphere by *+y+-16 cut by the vertical plane y 3, containing the point (0,4,0) (b)...
Find the area of the following surfaces. a) The part of the plane 3z + 2y +z 6 that lies in the f...
Solve c and d Please.
Find the area of the following surfaces. a) The part of the plane 3z + 2y +z 6 that lies in the first octant. b) The part of the cone zVy that lies between the plane y z and the cylinder y-x c) The surface with vector equation r(u, u) = (u . cos(v), u . sin(v), u) , where 0 u 1, 0 v S T. d) The portion of the unit sphere that...
Find a parametrization for each of the following surfaces. [Note: There are many correct answers!] Show...
Find a parametrization for each of the following surfaces. [Note: There are many correct answers!] Show how you arrived at your answer. Hint: It is often helpful to construct your parametrization using (a) cylindrical coordinates, (b) spherical coordi- nates, or (c) by using a parametrization such as (:2, y, 2) = (u, v, f(u, v)) for the surface 2= f(, y). (a) The portion of the sphere x² + y2 + z2 = 9 that is above the cone z...
5. Calculate the surface area of the portion of the sphere x2+y2+12-4 between the planes z-1 and z ะไ 6. Evaluate (xyz) dS, where S is the portion of the plane 2x+2y+z-2 that lies in the first oc...
5. Calculate the surface area of the portion of the sphere x2+y2+12-4 between the planes z-1 and z ะไ 6. Evaluate (xyz) dS, where S is the portion of the plane 2x+2y+z-2 that lies in the first octant. 7. Evaluate F. ds. a) F = yli + xzj-k through the cone z = VF+ア0s z 4 with normal pointing away from the z-axis. b) F-yi+xj+ek where S is the portion of the cylinder+y9, 0szs3, 0s r and O s y...
Use a parameterization to find the flux SSF 6./x2 + y2. Oszs6. Fondo of F-5xy i-...
Use a parameterization to find the flux SSF 6./x2 + y2. Oszs6. Fondo of F-5xy i- 6z k outward (normal away from the z-axis) through the cone 264 The flux is a (Type an exact answer, using * as needed.)
Vector Function for Intersection of 2 surfaces
Find a vector function that represents the curve of intersection of the two surfaces: The cone z=sqrt(x^2 + y^2) and the plane z =1 + y.
Find the area of the portion of the plane 2x+3y+4z=28 lying above the rectangle 1≤x≤3,2≤y≤5 in the xy -plane. (1 poimi) Find the surface area of the portion S of the cone 22y, where z 20, contained w...
Find the area of the portion of the plane 2x+3y+4z=28 lying
above the rectangle 1≤x≤3,2≤y≤5 in the xy -plane.
(1 poimi) Find the surface area of the portion S of the cone 22y, where z 20, contained within the cylinder y2 +22 < 36 Area(S)-
(1 poimi) Find the surface area of the portion S of the cone 22y, where z 20, contained within the cylinder y2 +22
Could you do number 4 please. Thanks 1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z)...
Could you do number 4 please. Thanks
1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z) xy; ơ is the portion of the plane x + y + z lying in the first octant. 3. f(x, y, z) x2y; a is the portion of the cylinder x2z2 1 between the planes...
Find a parametrization of the surface. The portion of the sphere x² + y2 + z...
Find a parametrization of the surface. The portion of the sphere x² + y2 + z = 2 between the planes z = and z= - 2 2 What is the correct parameterization? Select the correct choice below and fill in the answer boxes within your choice. (Type exact answers.) O A. r(0,0) = i+ k, sos sos sps sos OB. r(0,0) = O C. rq,0) = sos sos OD. r(0,0) =i+j+ k sos 1.ses
The centroid of a surface o is defined by lo xds area of o lloyds area...
The centroid of a surface o is defined by lo xds area of o lloyds area of o' lo zds area of o 1 Find the centroid of the portion of the paraboloid z = = (x2 + y2) below the plane 2 = = 40. Enter the exact answers as improper fractions, if necessary. = ? Edit y = ? Edit 7 = ? Edit
Q1. Sketch and find a parameterization of the following surfaces (a) (Spherical cap) The portion of the sphere by *+y+-16 cut by the vertical plane y 3, containing the point (0,4,0) (b) (Circular cylinder band) The portion of the cylinder y+z+5)2 25 between the planes x--2 and x-2.
Q1. Sketch and find a parameterization of the following surfaces (a) (Spherical cap) The portion of the sphere by *+y+-16 cut by the vertical plane y 3, containing the point (0,4,0) (b)...
Solve c and d Please.
Find the area of the following surfaces. a) The part of the plane 3z + 2y +z 6 that lies in the first octant. b) The part of the cone zVy that lies between the plane y z and the cylinder y-x c) The surface with vector equation r(u, u) = (u . cos(v), u . sin(v), u) , where 0 u 1, 0 v S T. d) The portion of the unit sphere that...
Find a parametrization for each of the following surfaces. [Note: There are many correct answers!] Show how you arrived at your answer. Hint: It is often helpful to construct your parametrization using (a) cylindrical coordinates, (b) spherical coordi- nates, or (c) by using a parametrization such as (:2, y, 2) = (u, v, f(u, v)) for the surface 2= f(, y). (a) The portion of the sphere x² + y2 + z2 = 9 that is above the cone z...
5. Calculate the surface area of the portion of the sphere x2+y2+12-4 between the planes z-1 and z ะไ 6. Evaluate (xyz) dS, where S is the portion of the plane 2x+2y+z-2 that lies in the first octant. 7. Evaluate F. ds. a) F = yli + xzj-k through the cone z = VF+ア0s z 4 with normal pointing away from the z-axis. b) F-yi+xj+ek where S is the portion of the cylinder+y9, 0szs3, 0s r and O s y...
Use a parameterization to find the flux SSF 6./x2 + y2. Oszs6. Fondo of F-5xy i- 6z k outward (normal away from the z-axis) through the cone 264 The flux is a (Type an exact answer, using * as needed.)
Find the area of the portion of the plane 2x+3y+4z=28 lying
above the rectangle 1≤x≤3,2≤y≤5 in the xy -plane.
(1 poimi) Find the surface area of the portion S of the cone 22y, where z 20, contained within the cylinder y2 +22 < 36 Area(S)-
(1 poimi) Find the surface area of the portion S of the cone 22y, where z 20, contained within the cylinder y2 +22
Could you do number 4 please. Thanks
1-8 Evaluate the surface integral s. f(x, y, z) ds Vx2ty2 -vr+) 1. f(x, y, z) Z2; ơ is the portion of the cone z between the planes z 1 and z 2 1 2. f(x, y, z) xy; ơ is the portion of the plane x + y + z lying in the first octant. 3. f(x, y, z) x2y; a is the portion of the cylinder x2z2 1 between the planes...
Find a parametrization of the surface. The portion of the sphere x² + y2 + z = 2 between the planes z = and z= - 2 2 What is the correct parameterization? Select the correct choice below and fill in the answer boxes within your choice. (Type exact answers.) O A. r(0,0) = i+ k, sos sos sps sos OB. r(0,0) = O C. rq,0) = sos sos OD. r(0,0) =i+j+ k sos 1.ses
The centroid of a surface o is defined by lo xds area of o lloyds area of o' lo zds area of o 1 Find the centroid of the portion of the paraboloid z = = (x2 + y2) below the plane 2 = = 40. Enter the exact answers as improper fractions, if necessary. = ? Edit y = ? Edit 7 = ? Edit
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