Maurice and three of his friends have a lemonade stand.They want to make enough money so that after splitting the earnings evenl
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Area of sandbox = 169 square feet
Area of square with side 'x' is given by the formula =
We have to determine the total length of wood Drew needs to make the sides of the sandbox.
Total length of wood required would be equal to perimeter of sandbox.
Let 'a' be the side of the square sandbox.
So, Area of sandbox = 169
a = 13 feet
Total length of wood required to make sides of the sandbox = Perimeter of the square sandbox =
=
= 52 feet.
Therefore, 52 feet of wood is required to make the sides of the square sandbox.
Stokes' theorem says the integral of the curl of over a surface
with boundary
is equal to the integral of
along the boundary. In other words, the flux of the curl of the vector field is equal to the circulation of the field, such that
We have
Parameterize the ellipse by
with and
.
Take the normal vector to to be
Then the flux of the curl is