Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
f(x)=√4x+2, y=0, x=0, x=2.

12\pi cubic units.

Step-by-step explanation:

Given that a region is bounded by

And the region is rotated about x axis.

We can find that here radius would be y value and height would be dx

So volume would be as follows:

If f(x) is rotated about x axis volume

=

cubic units.

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3