Question

Find the volume of the solid enclosed by the planes 4x+2y+z=10, y=3x, z=0, x=0

Answer 1

I am just having trouble sketching the region.

Answer 2

Yes.

Answer 3

This is a double integral question btw.

Answer 4

This isn't algebra!!! :P .

Answer 5

@Dido525 I can provide you with a graph? I'm not sure if it's good though >.<

Answer 6

I just want to know how you would sketch these kinds of graphs >.< .

Answer 7

I can solve the double intergal fine :/ .

Answer 8

So yeah sketch it please :) .

Answer 9

Well it's not really a sketch :3

Answer 10

That just makes it look worse >.< .

Answer 11

http://tutorial.math.lamar.edu/Classes/CalcIII/DIGeneralRegion.aspx

Answer 12

Go to the last page. How did they sketch that?

Answer 13

Last example*

Answer 14

Example 4.

Answer 15

Btw hi @Dido525 I'm Luigi, I'm not even a Calculus one student :3

Answer 16

Ohh okay XD . Thanks anyways :) .

Answer 17

Lol, Luigi summons me here when I cant do calc 3 yet. Dude, calc 2 and under @Luigi0210 !!

Answer 18

Sorry had no idea >.,

Answer 19

Ahh Calc II. Good times :) .

Answer 20

Im doing self-study on calc 3 xD Im barely at intro to quadric surfaces xD

Answer 21

We did that in calc II :P .

Answer 22

Different places different things in each calc class xD I did sequences and series + intro to DEs in calc 2.

Answer 23

Same :P .

Answer 24

Yeah. Other places have a calc 4 xD I wonder if that means we move faster than them here >.<

Answer 25

for 3-d graphing
http://graphcalc.com/index.shtml

Answer 26

hi

Answer 27

Hi.

Answer 28

do you still need help?

Answer 29

Yes.

Answer 30

ok lemme read

Answer 31

Find the volume of the solid enclosed by the planes 4x+2y+z=10, y=3x, z=0, x=0

Answer 32

so u got plane with normal 4,2,1
and that stuff

Answer 33

u can write z in tersm of x and y

Answer 34

I get HOW to find the volume. But I don't know how they sketched the plane.

Answer 35

do a triple integral in terms of z=f(x,y)
then y=f(x)
and x from 0 to w/e

Answer 36

oh okay

Answer 37

No no. I am not at triple intergals yet.

Answer 38

sketching is easy pzy

Answer 39

lets start with the plane

Answer 40

But I can do this with double intergals. I just need to see the plot of this.

Answer 41

Yep.

Answer 42

ya sure u can do it as a double integral.. but ur still gonna use a triple integral simplified to a double integral format

Answer 43

what did they teach you like top function - bot function and then double integral over the domain?

Answer 44

That's fine. I just need a sketch.

Answer 45

yeah Kinda.