Question

find the volume generated by rotating the region enclosed by the graphs of y =4x^2 &y = 4x about the x-axis

Answer 1

start by finding where the graphs intersect...

Answer 2

ok wait a sec i will

Answer 3

(1,4)

Answer 4

well I would have thought (0,0) and (1, 4)



so to me it looks like the region is

\[y = 4x - 4x^2\]

so for volume you need to use

\[V = \pi \times \int\limits_{0}^{1} y^2 dx\]

so you need to go and find the value of \[y^2 ...if... y = 4x - 4x^2\]

then substitute and evaluate the definite integral.

hope it helps...