What is the volume of the solid produced by revolving #f(x)=x^2+3x-sqrtx, x in [0,3] #around the x-axis?
1 Answer
Dec 30, 2016
601.5 cubic units, nearly
Explanation:
The two x-scaled and y-scaled graphs reveal that the said
shuttlecock-like solid of revolution has two parts, having just the x-
intercept point
near the origin might appear as a knot. This one has a convex
surface, in contrast to the other that has concave surface.
The volume is
for the limits
between x =. 0 and 3
#=601.5 cubic units, nearly.
graph{0.1(x^2+3x-sqrtx) [-10, 10, -5, 5]}
graph{(10(x^2+3x-sqrtx)) [-0.1, 0.1, -10, 10]}