1.
A solid in the first octant, bounded by the coordinate
planes, the plane (x= 40) and the curve (z=1-y² ) , Find the volume
of the solid by using : a- Double integration technique ( Use order
dy dx) b-Triple integration technique ( Use order dz dy
dx)
2.
Use triple integration in Cartesian coordinates to
find the volume of the solid that lies below the surface = 16 − ?²
− ?² , above the plane z =...
Use spherical coordinates.Find the centroid of the solid E that
is bounded by the xz-plane and the hemispheres y = 16 − x2 − z2 and
y = 64 − x2 − z2 . (x, y, z) =
4) Find the volume of the solid formed by the region bounded by
the graphs of y= x3 , y=x for x=0 and x=1
-Sketch the region bounded by the graphs of the functions and
find the area of the region bounded by the graphs of y=x-1 and y=
(x − 1)3
-calculate the arc length of the graph y= x=1 to x=2 14x7 +
101x5 from
-Use the washer method to find the volume of the solid formed by...