Answer:2
Step-by-step explanation;
Answer:
The vertex of the function is at (2,3).
Step-by-step explanation:
I graphed the equation on the graph below.
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Answer:
<u>Mass</u>

<u>Center of mass</u>
<em>Coordinate x</em>

<em>Coordinate y</em>

<em>Coordinate z</em>

Step-by-step explanation:
Let W be the wire. We can consider W=(x(t),y(t),z(t)) as a path given by the parametric functions
x(t) = t
y(t) = 4 cos(t)
z(t) = 4 sin(t)
for 0 ≤ t ≤ 2π
If D(x,y,z) is the density of W at a given point (x,y,z), the mass m would be the curve integral along the path W

The density D(x,y,z) is given by

on the other hand

and we have

The center of mass is the point 
where

We have

so




