Volume bounded by cylinder and planes

[ostrogradsky]

Must double integrate using type I or type II planar region D to find volume bounded by

Cylinder y^2+z^2=4

And

Planes
X=2y
X=0
Z=0

 

[LCKurtz]

Many of the regulars here, myself included, will not help on question that is posted as an image, let alone sideways, instead of typing it as forum guidelines specify. Read vela's guidelines for posting at the top of this forum.

 

[ostrogradsky]

The two pictures include my attempt at the answer.

 

[ostrogradsky]

What else would you like? The problem is stated very succinctly in the textbook as post 1 without more or without fewer words.

The pictures are my attempts at deriving the answer to this NOT simple problem.

 

[ostrogradsky]

I wish to double check my answer and see if there are additional ways without using polar coordinates to get to the answer.

 

[Mark44]

I agree with LCKurtz. If you want help with your problem, at least put in the effort to post the (second) image so that one can read it without too much effort. Besides being sideways, it appears that your photo cuts off some of your work at the boundaries of the image.

Better yet, post the work directly in the text window.

 

[ostrogradsky]

This problem requires a picture in order to solve it.

I provided the essential picture, yet I am getting complaints about posting a picture.

I am assuming that you all did not even attempt to think about this problem.

 

[HallsofIvy]

So you are paying NO attention to what you were told?

 

[ostrogradsky]

Double integral (4-y^2)^.5 dy dx from x=0 to 4 and y=-2 to x/2

 

[ostrogradsky]

You're going to have to look at picture to even make sense of the scribbles I wrote above. So no more complaints.

 

[SammyS]

You're going to have to look at picture to even make sense of the scribbles I wrote above. So no more complaints.

You have totally ignored the comments about this image being sideways.

It has also been pointed out that some information is cut off this image.The good folks who provide help on thts forum are volunteers.

Please try to work with us.

 

[ostrogradsky]

Done.

 

[haruspex]

View attachment 72632

Done.

Not done. There are still parts cut off at the edges.
By all means post the diagram as an image, but take the trouble to type all the equations in, preferably using LaTeX. It costs you maybe 10 minutes, but saves everyone else a few minutes each.
You want help, make it easy for people wishing to give you help.