For the corresponding homogeneous ODE,
the characteristic equation is
which admits the characteristic solution,
Assume a particular solution of the form
( because a constant solution is already accounted for by ; because both and are accounted for)
Substituting the derivatives of into the ODE gives
So the particular solution is
With the given initial conditions, we find
and so
Answer:
The volume of the figure is
Step-by-step explanation:
we know that
The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid
step 1
Find the volume of the cone
The volume of the cone is equal to
we have
----> the diagonal of the square base of pyramid is equal to the diameter of the cone
substitute
step 2
Find the volume of the square pyramid
The volume of the pyramid is equal to
where
B is the area of the base
h is the height of the pyramid
we have
substitute
step 3
Find the volume of the figure
6 is the square root of 36.
6(6) = 36
You have not provided the diagram but I can tell you The area of a square or rectangle is Length times width. There's also likely a triangle part at the top the area of that is on half base times height. Sorry I couldn't help more <span />