The circumference or perimeter of the circle has the formula 2*pi*r, where r is the radius of the circle. This could then be easily calculated:
C = 2*pi*r
53.38 = 2*3.14*r
53.38 = 6.28r
r = 53.38/6.28
r = 8.5 ft
Thus, the radius of the circle has a length of 8.5 feet.
Suppose
is another solution. Then

Substituting these derivatives into the ODE gives


Let
, so that

Then the ODE becomes

and we can condense the left hand side as a derivative of a product,
![\dfrac{\mathrm d}{\mathrm dx}[x^5u]=0](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E5u%5D%3D0)
Integrate both sides with respect to
:
![\displaystyle\int\frac{\mathrm d}{\mathrm dx}[x^5u]\,\mathrm dx=C](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Bx%5E5u%5D%5C%2C%5Cmathrm%20dx%3DC)

Solve for
:

Solve for
:

So another linearly independent solution is
.
Answer:
1,333
Step-by-step explanation:
You do v times p because you need the dividend. So you multiply the quotient and divisor.
1/2 + 3/4 + 7/8
4/4(1/2)+ 2/2(3/4) + 7/8
4/8 + 6/8 + 7/8
4+ 6 + 7
—————
8
17 1
——. Or 2—-
8 8
He prepared 2 1/8 lbs of trail mix