2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the pa...
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 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...
Use spherical coordinates. Find the volume of the solid that lies within the sphere x2 + y2 + z2 = 4, above the xy-plane, and below the cone 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...
Find the area of the surface. The portion of the sphere x2 + y2 + z2 = 625 inside the cylinder x2 + y2 = 400 d Help? Read It Talk! Talk to a Tutor Tutor
please help with Q1 and 3 1. Let V be the solid region in R3 that lies within the sphere 2+y+z2-4, above the zy-plane, and below the cone z -Vx2 + y2 (a) Sketch the region V (b) Calculate the volume of V by using spherical coordinates. (c) Find the surface area of the part of V that lies on the sphere z2 y 24, by calculatinga surface integral. (d) Verify your solution to (c) by calculating the surface integral...
16. fs y2 dS, S is the part of the sphere x2 + y2 + z2 = 1 that lies above the cone z = Vx2 + y2 16. fs y2 dS, S is the part of the sphere x2 + y2 + z2 = 1 that lies above the cone z = Vx2 + y2
orientation. Find the volume of the piece of the sphere x2 + y2 + z2-1 which lies both inside the cylinder x2 + y2-1/2 and inside the first coordinate octant (that is, x,y,z 2 0). 4. 5. For the vector field F (2x(y +2)-y2-Z2), what is the surface integral of this field over the unit-radius
plane, and outside the cone z-5V x2 (1 point Find the volume of the solid that lies within the sphere x2 ,2 + z2-25, above the x (1 point) Find the mass of the triangular region with vertices (0,0), (1, 0), and (0, 5), with density function ρ (x,y) = x2 +y. plane, and outside the cone z-5V x2 (1 point Find the volume of the solid that lies within the sphere x2 ,2 + z2-25, above the x (1...
(1 point) Find the surface area of the part of the sphere za + y2 + z = 81 that lies above the cone z= V22 + y2