G Fnal the volume or me solid that lies under the the 25 3y2-x22 and above Find the aveage value ...
(a) Find the volume of the solid under the paraboloid z x +3y2 and above the triangle with vertices (0,0), (4, 8), (8, 0). (b) Find the average value of (.y)-yover the rectangle with vertices (4,0), (-4,3), (4,3) (4, 0) (a) Find the volume of the solid under the paraboloid z x +3y2 and above the triangle with vertices (0,0), (4, 8), (8, 0). (b) Find the average value of (.y)-yover the rectangle with vertices (4,0), (-4,3), (4,3) (4, 0)
multivariate calculus problem .. SOS ... help Find the volume of a solid that lies under the paraboloid z = 4-х._y' ' above the xy-plane and inside the cylinder x2 y 2y.
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...
(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
(1 point) Find the volume of the solid that lies within the sphere x2 +y2 .2 16, above the xy plane, and outside the cone 2 (1 point) Find the volume of the solid that lies within the sphere x2 +y2 .2 16, above the xy plane, and outside the cone 2
7. Find the volume of the solid region that lies under the surface 2 = ry and over the region in the xy plane bounded by the curves y = 2r and y = r A. 4/3 B. 8 C. 8/3 D. 32/3 E. none of the above 8. Evaluate SSSE Vx2 + y2 dV where E is the region bounded by the paraboloid z = x2 + y2 and the plane z = 4. A. 87 B. 327 c....
1. (10 points) Find the volume of the solid under the surface z = 1 +x2y2 and above the region of the xy-plane enclosed by x y2 and 1 1. (10 points) Find the volume of the solid under the surface z = 1 +x2y2 and above the region of the xy-plane enclosed by x y2 and 1
calc 3 Find the volume of the solid that lies under the plane 4x+6y-22 + 15 = 0 and above the rectangle R: 15 x 22,-12YSI
Problem 4. Find the volume of the solid that lies under the paraboloid 3 = x + y2 and above the region D in the ry-plane bounded by the line y = 2x and the parabola y = 1? Note: The region D is both of Type I and Type II.
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)