Question

Use an integral to find the volume of the solid with base the region enclosed by the graphs
of y = x^4 and y = 1 and whose cross sections perpendicular to the y-axis are squares.
Draw a picture! You will need to determine the formula for the area of cross-sections to
apply the integral formula for volume.

Answer 1

thinking of flipping this on its side, and doing something like this

Answer 2

if you want, thats fine

Answer 3

youre inverses are not correct tho

Answer 4

what would they be?

Answer 5

you have transposed x and y axis

y=1 is not x=1 .... youve just labeled that one wrong

it y = x^4, the x = y^4 is not adjusted for the 'flip'

define x in terms of y

Answer 6

not following

Answer 7

x = +/- fourtroot(y)

Answer 8

thats better

Answer 9

and thelabel on the other?

Answer 10

yeah the label is bad on the other