Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded above by the curve yequalsx squared, below by the x-axis, and on the right by the line xequals3, about the line xequalsnegative 3.

seems like d

step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.