The solid lies between planes perpendicular to the x axis at x = −1 and x = 1. The
cross sections perpendicular to the x axis are circular disks whose diameters run from the
parabola y = x
2
to the parabola y = 2 − x
2
. Find the volumes of the solid.

352/105

Step-by-step explanation:

Diameter of the circular disk is

(2−x2)−x2

so that the radius of the disk is the diameter divide by 2

(2−x2−x2)/2.

Integrating V at 1 and -1, we get

V =Z 1−1A dx =Z 1−1π(1 − x2)2

dx = π(x −2/3x3 +1/5x5)1−1

=16/15π

= 352/105

answer: asdfghjkl,mnbv

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet