Question 4. (20 pts) Use polar coordinates to find the volume of the solid between z=2?...
Question 4. (20 pts) Use polar coordinates to find the volume of the solid between z= x^2+y^2 and z=3-x^2-y^2 Question 4. (20 pts) Use polar coordinates to find the volume of the solid between z = x2 + y2 and 2 = 3 – 22 – yº.
Question 4. (20 pts) Use polar coordinates to find the volume of the solid between z = x2 + y2 and 2 = 3 - 22 - y2.
Question 4. (20 pts) Use polar coordinates to find the volume of the solid between z = x2 + y2 and z= = 3 – x2 - y2
Double Intergals in Polar Coordinates: 4. Use polar coordinates to find the volume of the solid that is bounded by the paraboloids z = 3x^2 + 3y^2 and z = 4 ? x^2 ? y^2. 5. Evaluate by converting to polar coordinates ? -3 to3 * ? 0 to sqrt(9-x^2) (sin(x^2 +y^2) dydx 6. Evaluate by converting to polar coordinates: ? 0 to 1 * ? -sqrt(1-y^2) to 0 (x^2(y)) dxdy
Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 12 - 3x2 - 3y2 and above the xy-plane Step 1 We know that volume is found by V = flr, e) da. Since we wish to find the volume beneath the paraboloid z = 12 - 3x2 - 3y2, then we must convert this function to polar coordinates. We get sles z = f(r, 0) = - 31 We also know that in...
1. Using polar coordinates in the x-y plane, find the volume of the solid above the cone z r and below the hemisphere z= v8-r2. As a check the answer is approximately 13.88 but of course you have to calculate the exact answer 2. At the right is the graph of the 8-leafed rose r 1+2cos(40) Calculate the area of the small leaf. As a check the answer is 0.136 to 3 places of decimal (But of course you have...
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
Find the volume of the solid Use spherical coordinates to find the mass of the solid bounded below by the cone z=« .) and above by the sphere x+y+ =9if its density is given by 8(x,y,2) = x+ y+Z. JC Use spherical coordinates to find the mass of the solid bounded below by the cone z=« .) and above by the sphere x+y+ =9if its density is given by 8(x,y,2) = x+ y+Z. JC
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