To determine the centroid, we use the equations:
x⁻ =
1/A (∫ (x dA))
y⁻ = 1/A (∫ (y dA))
First, we evaluate the value of A and dA as follows:
A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3 from 0 to 4
A = 64
We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA))
x⁻ = 1/64 (∫ (x (3x^2 dx)))
x⁻ = 1/64 (∫ (3x^3 dx)
x⁻ = 1/64 (3 x^4 / 4) from 0 to 4
x⁻ = 1/64 (192) = 3
y⁻ = 1/A (∫ (y dA))
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx)))
y⁻ = 1/64 (∫ (9x^4 dx)
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5
The centroid of the curve is found at (3, 144/5).
-43/100 I think, since 43 doesn’t have any factors other than 1 and itself
Hope this helps :)
Answer:
y = 1/2 x - 3
Step-by-step explanation:
2 and 5 and it's says i need more letters to summit this answer that's why i am typing all of this
Answer:
This is a personal reflection of your own thoughts and feelings
example its accurate yes because you have good things to do and say about yourself and to help yourself.
example its not accurate because there are circumstances that may get in the way or bring you down too often. But to compensate that you can try to listen more.
Another example
example it is accurate because i have thought of 4 major things about why health is this level and have accounted for the mind and body elements as well as my own awareness to comparison and reflection in what i strive or to what is should strive to be.
example it is not accurate because in such comparison of mind and body and comparison i sometimes still find i could be so much more happier or healthier or more self aware etc or listen more to myself or others etc.. .
Another example
example it is accurate because i have interest in this part of my health and am self aware to my own interests and find time for them at all costs.
.
example it is not accurate as im still learning how to be self aware, and can only think of what is good health right now in certain circumstances.
An example of certain circumstances may be when you are around your best friends and not in all new friend circumstances as you need more interests to give confidence maybe and if this is not why then try to pin point what holds you back in personal development.
