POINTS Please HurryHassan helps his dad with newspaper deliveries. He gets $5 every morning and 10 cents for every paper deliver
2 answers:
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Solution: We are given that the population of Virginia is 8 million.
Let x be the population of Nevada.
We are given population of Virginia is 2.8 million less than 4 times the population of Nevada.
The first step is to on both sides.
add 2.8
The second step is to on both sides.
divide 4
The population of Nevada is million.
2.7
Due to the symmetry of the paraboloid about the <em>z</em>-axis, you can treat this is a surface of revolution. Consider the curve , with
, and revolve it about the <em>y</em>-axis. The area of the resulting surface is then
But perhaps you'd like the surface integral treatment. Parameterize the surface by
with and
, where the third component follows from
Take the normal vector to the surface to be
The precise order of the partial derivatives doesn't matter, because we're ultimately interested in the magnitude of the cross product:
Then the area of the surface is
which reduces to the integral used in the surface-of-revolution setup.