# Find the COG of two cubic curves

1. May 11, 2012

### hms.tech

The first part of the question asks to find the COG of the curve y=[1-x]*x^2 in the interval x=0 to x=1

I found that correctly as (0.6,0.0571)

The next part asks to find the COG of another cubic curve y=x[1-x]^2
But without using integration but by using the result of the first part of the question.

I have absolutely no clue of how to proceed forward.
I have tried drawing both curves but it was of no use.

2. May 11, 2012

### LCKurtz

Look at your graphs again. One of them is the reflection of the other in the line $x=1/2$. Another thing to notice is if you replace $x$ by $1-x$ in one graph it gives the other. You should be able to use these observations for a shortcut.

3. May 11, 2012

### Staff: Mentor

What is COG?

4. May 11, 2012

### LCKurtz

I assume "center of gravity".

5. May 11, 2012

### sharks

I'm still debating between "Canberra Ornithologists Group" and "Canadian Organic Growers".

6. May 11, 2012

### hms.tech

Thanks, I got it....you are a genius (@lckurtz)

7. May 11, 2012

### hms.tech

FYI, it is centre of gravity,centre of mass, centroid