Center of mass

[grand echo]

You need the average x-value and the average y-value.

[lapis gulch]

how would I do that

im not really understanding the notation

[grand echo]

what notation?

[lapis gulch]

this is the equation i was given

the upper bound is not there

im not sure how to interpret this

[grand echo]

it's telling you the region to integrate over

you integrate over the area that you're finding the centre of

[lapis gulch]

im still not really understanding

[grand echo]

this is the region

[lapis gulch]

do i need to change dxdy into something

or the actual equation for the semi cricle

with examples online, it seems differnt

[grand echo]

you need to figure out what upper and lower bounds will give you the region that it's asking about

[lapis gulch]

i mean the bounds for y is -2 and 2 and the bounds for x is 0 and 2 isnt it

[grand echo]

notice that it doesn't give you a lower bound either

[lapis gulch]

it says the lower bound is the area

[grand echo]

no, that would give you the entire rectangle

[grand echo]

no, it tells you to integrate over the whole area. "area" is not a lower bound

[lapis gulch]

i mean i found the area is 3/2 pi

[grand echo]

so that's what you use in the "1/area" part, but you still need to integrate over the area.

[lapis gulch]

the thing i dont understand is dxdy

ive only done single varible calculus

[grand echo]

Where did you find this formula?

[lapis gulch]

worksheet

this is a first year physics course

[grand echo]

dxdy just means to integrate over x first, and then integrate over y second, but you can actually do it in either order

[lapis gulch]

is there suppose to be 2 integrals

[grand echo]

there could be. That's a style choice

[lapis gulch]

sorry im still not understanding what I should be doing

regarding the bounds

[grand echo]

You need to find the bounds for the region given.