Which is the equation of a parabola with vertex (4,3) and directrix x = 6?
1 answer:
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The Volume of the given solid using polar coordinate is:
V=
<h3>What is Volume of Solid in polar coordinates?</h3>
To find the volume in polar coordinates bounded above by a surface z=f(r,θ) over a region on the xy-plane, use a double integral in polar coordinates.
Consider the cylinder, and the ellipsoid,
In polar coordinates, we know that
So, the ellipsoid gives
4() +
= 64
= 64- 4(
)
z=±
So, the volume of the solid is given by:
V=
=
To solve the integral take, = t
dt= -8rdr
rdr =
So, the integral become
=
=
=
so on applying the limit, the volume becomes
V=
=
V =
Since, further the integral isn't having any term of .
we will end here.
The Volume of the given solid using polar coordinate is:
Learn more about Volume in polar coordinate here:
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Answer:
9.207
Step-by-step explanation:
To get the amount of starbucks for the population we can do
which gives us 211.77 total Starbucks in 23 miles.
To get starbucks per mile, we divide this number by 23.
This gives us 9.207