The length of the road is 600 miles if one inch represents 30 miles what is the length of the road
1 answer:
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Answer:
Step-by-step explanation:
f(x) = -2(x+1)²-12
f(x) = -2(x²+2x+1) - 12
f(x) = -2x² - 4x - 2 - 12
f(x) = -2x² - 4x - 14
By the divergence theorem, the surface integral given by
(where the integral is computed over the entire boundary of the surface) is equivalent to the triple integral
where
is the volume of the region 
bounded by 
.
You have
![\implies \nabla\cdot\mathbf F=\dfrac{\partial}{\partial x}[x^2y]+\dfrac{\partial}{\partial y}[xy^2]+\dfrac{\partial}{\partial z}[4xyz]=8xy](https://tex.z-dn.net/?f=%5Cimplies%20%5Cnabla%5Ccdot%5Cmathbf%20F%3D%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20x%7D%5Bx%5E2y%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%5Bxy%5E2%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20z%7D%5B4xyz%5D%3D8xy)
and so the integral reduces to
(where the integral is computed over the entire boundary of the surface) is equivalent to the triple integral
where
You have
and so the integral reduces to