Use spherical coordinates: 36) Find the volume of the solid outside the cone z2 = x2...
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)
Use spherical coordinates to find the volume of the region outside the cone p=1/4 and inside the sphere p = 6 cos Q. 6 The volume is . (Type an exact answer, using a as needed.) Use spherical coordinates to find the volume of the region outside the cone /4 and inside the sphere pocos The volume is Type an exact answer, using as needed.)
3. Find the volume of the solid in the first octant that lies above the cone z = 3(x + y) and inside the sphere x2 + y2 + z2 = 42. Use spherical coordinates.
Cal 3 question (a) Exprss in rectangular, eylindrical, spherical coordinates, the olune of a) the solid enclosed by the paraboloid + and the plane z9 b) the solid bounded above and below by the sphere 2 +2+22 -9 and inside by the cylinder+ c) (not spherical) solid inside x2 + y2 + z2-20 but not above-x2 + y2 d) solid within the sphere 2,2 + y2 + z2-9 outside the cone z Vz2 +3/2 and above the ry-plane. e) solid...
Use cylindrical coordinates to find the volume of the solid. Solid inside both x2 + y2 + z2 - 16 and (x - 2)2 + y2-4 Use cylindrical coordinates to find the volume of the solid. Solid inside both x2 + y2 + z2 - 16 and (x - 2)2 + y2-4
1. (13 pts.) Use spherical coordinates to set up the triple integral for the solid that is constructed from a portion of a sphere, x2 +y2 +Z2-1 that lies above the cone φ = π/4 . Do NOT evaluate. 1. (13 pts.) Use spherical coordinates to set up the triple integral for the solid that is constructed from a portion of a sphere, x2 +y2 +Z2-1 that lies above the cone φ = π/4 . Do NOT evaluate.
Use spherical coordinates to find the volume of the region outside the cone pon/4 and inside the sphere p= 3 cos p. The volume is
Use spherical coordinates to find the volume of the region outside the cone Q=1/4 and inside the sphere p= 11 cos q. 5.5 The volume is (Type an exact answer, using a as needed.)
3. Find the volume of the solid in the first octant that lies above the cone z = 13(x+ + y) and inside the sphere x2 + y2 + y2 = 42. Use spherical coordinates. 4. Determine if the vectorfield F(x, y) - (x + y)i + (2xy + y) is conservative If it is, find a potential function
Question 4 (3.6 points) Use spherical coordinates to find the volume of the solid that lies below the cone z = Vx2 + y2 and above the sphere x2 + y2 +22 = 1. Write V= =("sin ødpdøde 1. 0 2. 1 d= > 3. e= > 4. 2 II < 5. < a= 6. Í < C= 7. 2a b= < 8. 9. 34