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5. + -15 points My Notes 3x2 + 3y2 in the first octant that lies between...
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...
10. -5 points My Notes Let F be the solid sphere osx2 +y2 + z2 s 1 of radius 1 centered on the origin and let F, be the portion of F that lies in the first octant. Assume that fx, y, z) is a continuous function that is symmetric with respect to reflections through the coordinate planes. That is: r-x, y, z) = f(x, y, z), Rx,-y, z)-/(x, y, z), f(x, y,-z) =rx, y, z). IIL If f(x, y,...
-/5 POINTS Compute the surface integral of the function f(x, y, z) = 3xy over the portion of the plane 4x + 3y +z - 12 that lies in the first octant. Submit Answer
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...
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),...
11. [-/1 Points] DETAILS MY NOTES Find the volume of the region between the graph of f(x, y) = 81 – x2 - y2 and the xy plane. Submit Answer 12. [-/1 Points] DETAILS MY NOTES Find the volume of an ice cream cone bounded by the hemisphere z = V 50 - x2 y2 and the cone z = V + y2.
calc hw- pls help!! (: -/5 POINTS MY NOTES Use Stokes' theorem to evaluate | vxř. ñ ds where F = 9y?z, 6xz, 7x?y2 and S is the paraboloid z = x2 + y2 inside the cylinder x2 + y2 = 1, oriented upward. Submit Answer -/5 POINTS MY NOTES Use Stokes' theorem to compute the circulation F. dr where F = (6xyz, 3y-z, 2yz) and C is the boundary of the portion of the plane 2x + 3y +...
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...
-. (15 pts.) Let S is the first-octant portion of the plane 2x + y +z = 4. Evaluate the surface integral SSE (2y2 + 2yz) ds.
Electric charge is distributed over the rectangle 1 sxs 3,0 Sys 2 so that the charge density at (x, y) is o(x, y) = 2xy + y? (measured in coulombs per square meter). Find the total charge on the rectangle. Need Help? Read It Watch It Talk to a Tutor -/1 points VI SCALCET8 15.3.035. My Notes Ask Your Teach A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from...