Answer:
k = 2
Step-by-step explanation:
Use a graphing calculator
Substitute
, so that

Then the resulting ODE in
is separable, with

On the left, we can split into partial fractions:

Integrating both sides gives




Now solve for
:


Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (3.14 x 64) / 4
A = 200.96 / 4
A = 50.24 square yards
Hope this helps! :)