Start with

We observe that both fractions are not defined if
. So, we will assume
.
We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

We multiply both sides by
:

We move everything to one side and solve the quadratic equation:

We check the solution:

which is true
The exact circumference is 60ft
The way to get the equation for the radius (r) is to get r by itself. So divide each side by 4pi
500/4pi=r^2
Now take the square root of each side to get the equation of r.
sqrt(500/4pi)=r
ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.

To find the displacement function, we need to to Integrate the velocity function.


At time t=0, there was no displacement.
This implies that,




The displacement function then becomes,

To find the displacement over the first π seconds, we put

into the equation for the displacement to get,



Answer:A 12 m3
Step-by-step explanation:
100% correct