I need assistance with parts (1) and (2) Thank you
I need assistance with parts (1) and (2) Thank you 3. Use polar coordinates to find...
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 spherical coordinates: 36) Find the volume of the solid outside the cone z2 = x2 + y2 and inside the sphere x2 + y2 + z2 1. Sketch the drawing of the graph. Use spherical coordinates: 36) Find the volume of the solid outside the cone z2 = x2 + y2 and inside the sphere x2 + y2 + z2 1. Sketch the drawing of the graph.
Use polar coordinates to find the volume of the given solid.Inside both the cylinder x2 + y2 = 1 and the ellipsoid 4x2 + 4y2 + z2 = 64
(1 point Find the volume of the solid that lies within the sphere x2 + 2 + z-64 above the xy plane, and outside the cone z 8V x2 y2 (1 point Find the volume of the solid that lies within the sphere x2 + 2 + z-64 above the xy plane, and outside the cone z 8V x2 y2
Use polar coordinates to find the volume of the given solid. Inside the sphere and outside the cylinder = 25 We were unable to transcribe this image = 25
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.
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
Problem 6 [5 points] |(y ( y-dan- 0.708 Set up an equation with a double Integral in polar coordinates to find a such that the volume inside the hemisphere z 16-x-yi and outside the cylinder x2 + y2 = a 2 is one-half the volume of the hemisphere. Do not solve it. Problem 6 [5 points] |(y ( y-dan- 0.708 Set up an equation with a double Integral in polar coordinates to find a such that the volume inside the...
EXAMPLE 4 Find the volume of the solid that lies under the paraboloid z 5x2 - 5y2, above the xy-plane, and inside the cylinder x2 + y2-2x (x-1)2 + y2=1 or r 2 cos 8 SOLUTION The solid lies above the disk D whose boundary circle has equation x2 +y2x or, after completing the square, In polar coordinates we have x2 +y Thus the disk D is given by and x-r cos(), so the boundary circle becomes 2r cos(), or...
Use polar coordinates to find the volume of the given solid.Inside both the cylinder x2 + y2 = 6 and the ellipsoid 4x2 + 4y2 + z2 = 64.I know how to solve most of it, but could someone rework it and show your steps so that I can make sure I am doing it correctly.