Question

Please help volume between two curves: y=1/4x^2 and y=5-x^2

Answer 1

@zepdrix @jim_thompson5910 @satellite73

Answer 2

@FortyTheRapper

Answer 3

@vishweshshrimali5

Answer 4

I rather use my computer than mobile phone. Let me check if it's being used

Answer 5

Okay

Answer 6

First I drew a sketch

Answer 7

It is. Let me boot it up and I'll be here

Answer 8

I drew a sketch than gave up 😂

Answer 9

is it \[y=\frac{1}{4}x^2\] and \[y=5-x^2\]?

Answer 10

Yeah

Answer 11

do you know where they meet up? you can kinda do it in your head

Answer 12

2

Answer 13

if not, this nice picture will help
http://www.wolframalpha.com/input/?i=5-x^2,x^2%2F4

Answer 14

So x=4

Answer 15

no at \(x=-2\) and at \(x=2\)

Answer 16

if that is not clear, solve \[\frac{1}{4}x^2=5-x^2\] for \(x\) put both \(-2\) and \(2\) get you \(1\)

Answer 17

Oh my bad was looking at wrong problem

Answer 18

But yes that makes sense

Answer 19

since evidently \(5-x^2\) is larger, integrate \[\int_{-2}^2(5-x^2-\frac{1}{4}x^2)dx\]

Answer 20

Okay

Answer 21

The legend explained it perfectly

Answer 22

Lol sorry internet problems

Answer 23

lol
oh just one more thing
this is area, not volume

Answer 24

Oh

Answer 25

How's the integration?

Answer 26

Well