Find the area of the part of the plane 2r +5yz10 that lies inside the cylinder...
($15.5) Find the area of the part of the plane 2 x 3 ytz 6 that lies inside the cylinderx2+y2 4 Answer: the area=4 π × ($15.5) Find the area of the part of the plane 2 x 3 ytz 6 that lies inside the cylinderx2+y2 4 Answer: the area=4 π ×
Find the area of the surface. The part of the plane x + 2y + 3z = 1 that lies inside the cylinder x2 + y2 = 2
1 point) Find the surface area of the part of the sphere x2 + y2 + z2-1 that lies above the cone z = x2+y2 Surface Area (1 point) Find the surface area of the part of the plane 2a 4y+z 1 that lies inside the cylinder 2y21. Surface Area2pi 1 point) Find the surface area of the part of the sphere x2 + y2 + z2-1 that lies above the cone z = x2+y2 Surface Area (1 point) Find...
Let E be the solid that lies inside the cylinder x^2 + y^2 = 1, above the xy-plane, and below the plane z = 1 + x. Let S be the surface that encloses E. Note that S consists of three sides: S1 is given by the cylinder x^2 + y^2 = 1, the bottom S2 is the disk x^2 + y^2 ≤ 1 in the plane z = 0, and the top S3 is part of the plane z...
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...
Compute the following surface areas: (a) the surface area of that part of the plane z = Ar + By C which lies inside the y2 elliptical cylinder 1. (b) the surface area of that part of the cylinder r2 +y2 the sphere 2 y 2 0 which lies inside 2ar 4a2. (Notice the symmetry)
Determine the surface area of the part of the plane 6x + 8y + z = 4 which lies inside the cylinder x2 + y2 = 36 . The surface area equals
3). Let be the part of surface 2 = 2.ry that lies inside the cylinder 2? + y2 = 1. i. Compute the area of E. ii. Let F = (y, z, 2²). Let has downward pointing normal vector. Compute the flux integral F.ds.
2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2. 2. (20 pts) Find the surface area of that part of the sphere x2 + y2 + z2-4 that lies inside the paraboloid z x2 + y2.
1. Find the area (exact value) of the region that lies inside the curve r=5cosθ and outside the curve r=2+cosθ 2. Find the area (exact value) of the region that lies inside between curve r=5cosθ and r=2+cosθ 8. Find the area (exact value) of the region that lies inside the curve r = 5cose and outside the curve r = 2 + cose. 9. Find the area (exact value) of the region that lies inside both curves r = 5cose...