- #1
suhaimi
- 2
- 0
1- The base of a sand pile covers the region in the xy - plane that is bounded by the parabola
x(power of 2) + y = 6 and the line y = x. The height of the sand above the point (x,y) is x(power of 2).
a) set up the volume of sand as
i) a double integral
ii) a triple integral
b) then, find the volume by using any methods you have found from a)i or a)ii
2- let D be the smaller cap cut from a solid ball a radius 2 units by a plane 1 unit from the center of the sphere.
a) Set up the volume of D as an iterated triple integral in
i) cylindrical coordinate
ii) spherical coordinate
b) then, find the volume by using one of two triple integrals you have found from a)i or a)ii.
x(power of 2) + y = 6 and the line y = x. The height of the sand above the point (x,y) is x(power of 2).
a) set up the volume of sand as
i) a double integral
ii) a triple integral
b) then, find the volume by using any methods you have found from a)i or a)ii
2- let D be the smaller cap cut from a solid ball a radius 2 units by a plane 1 unit from the center of the sphere.
a) Set up the volume of D as an iterated triple integral in
i) cylindrical coordinate
ii) spherical coordinate
b) then, find the volume by using one of two triple integrals you have found from a)i or a)ii.
