B and C are correct, A and D are incorrect
Answer:
The curvature is 
The tangential component of acceleration is 
The normal component of acceleration is 
Step-by-step explanation:
To find the curvature of the path we are going to use this formula:

where
is the unit tangent vector.
is the speed of the object
We need to find
, we know that
so

Next , we find the magnitude of derivative of the position vector

The unit tangent vector is defined by


We need to find the derivative of unit tangent vector

And the magnitude of the derivative of unit tangent vector is

The curvature is

The tangential component of acceleration is given by the formula

We know that
and 
so

The normal component of acceleration is given by the formula

We know that
and
so

Answer:
the output is n+5
Step-by-step explanation:
3+5
4+5
8+5
n+5

We want to convert this equation in terms of m, where 
While solving this problem, I instantly noticed the
in the first term of the equation. Replace that with m.

Simplifying the rest is not as obvious. Using the distributive property, we can change
to ![[7(x^2+3)]](https://tex.z-dn.net/?f=%5B7%28x%5E2%2B3%29%5D)
Do you see the "m" in here? Look again if you don't.
Now we can simplify the equation to
and this cannot be simplified further.
I'm always happy to help someone who appreciates the help! :D