Question

Use a triple integral to compute the volume of the wedge of the square column |x||y| created by the planes z=0 and xyz.

a) Triple integral of |x||y| dz dy dx
b) Triple integral of x|y| dz dy dx
c) Triple integral of |x|y| dz dy dx
d) Triple integral of |xy| dz dy dx

Answer 1

To find the volume of the wedge of the square column created by the planes z=0 and xyz, you can use the triple integral of |x|y| dz dy dx.

Step-by-step explanation:

To find the volume of the wedge of the square column created by the planes z=0 and xyz, we can set up a triple integral.

The correct triple integral to compute the volume is:

c) Triple integral of |x|y| dz dy dx

To evaluate the triple integral, you need to integrate the function |x|y| with respect to z from 0 to xyz, then with respect to y from 0 to x, and finally with respect to x from 0 to 1. This will give you the volume of the wedge of the square column.