Compute the following surface areas: (a) the surface area of that part of the plane z...
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
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...
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 the area of the surface. The part of the plane x + 2y + 3z = 1 that lies inside the cylinder x2 + y2 = 2
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.
ASAP please 1) Compute the surface area of the surface S, which is the part of the sphere x2 + y2 + Z2-4, and that lies between the planes z 0 and z 1. Extra Credit: Does anything strike you as odd about this answer?] 1) Compute the surface area of the surface S, which is the part of the sphere x2 + y2 + Z2-4, and that lies between the planes z 0 and z 1. Extra Credit: Does...
1. Find parametric equations for each surface. a) The plane through the points (0, 0,0), b) The portion of the sphere x2 +y2 + c) The part of the cylinder y 16 (1,0,3), and (0, 2,3) 22-9 inside the first octant, that lies between the planes +4. 1. Find parametric equations for each surface. a) The plane through the points (0, 0,0), b) The portion of the sphere x2 +y2 + c) The part of the cylinder y 16 (1,0,3),...
1. Calculate the surface area of = Vx2 + y2 that lies between the plane (a) that part of the cone yx and the cylinder y = x2 (b) that part of the surface 1 + 3x +2y2 that lies above the triangle with vertices (0,0), (0,1) and (2,1) z= (c) the helicoid (spiral ramp) defined by r(u, v)= u cos vi +usin vj-+ vk, 0u 1,0 < v < T 1. Calculate the surface area of = Vx2 +...
Parameterize the following surfaces in R3. Describe if the surface is open or closed. If the surface is open, give a parameterization of its boundary, 6. Parametrize the following surfaces in R3. Describe if the surface is open or closed. If the surface is open, give a parametrization of its boundary (positively oriented). (a) The part of the plane z - 2y 3 inside the cylinder 2 y16 (b) The sphere of radiuscentered at the origin. (c) The part of...
roblem . Compute the areas of the following surfaces. (a) The part of the paraboloid 2 2 that lies within the sphere 2+y226 (b) The part of the surface yz that lies within the planes 0, 0,1 and roblem . Compute the areas of the following surfaces. (a) The part of the paraboloid 2 2 that lies within the sphere 2+y226 (b) The part of the surface yz that lies within the planes 0, 0,1 and