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 +...
2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within the paraboloid z-x2 + y2. Hints: * Complete the square for ×2 + y2 + Z2-42+ (it is a sphere with center (0, 0,) Find the intersection to determine the region of integration 2. Find the area of the part of the surface of the sphere x2 + y2 + Z2-42 that lies within 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...
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...
4. Find the surface area of part of the paraboloid z =x2 + y2 cut of by the plane z = 4.
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
Find the area (surface area) of the part of the hyperbolic paraboloid z = y2 - x that lies between the cylinders x + y2 = 1 and x² + y2 = 4
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
Find the surface area of the part of the paraboloid z = 16 – x2 - y2 that is within the cylinder x2 + y2 = 4 and above the first quadrant. Enter your answer symbolically, as in these examples
Find the area of the surface. 7. The part of the hyperbolic paraboloid z = y2 – x? that lies between the cylinders x + y² = 1 and x² + y² = 4
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)