Graph the sets of points whose polar coordinates satisfy the equations and inequalities r

Brennan Flores 2021-08-20 Answered
Graph the sets of points whose polar coordinates satisfy the equations and inequalities r = 2

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grbavit
Answered 2021-08-21 Author has 27211 answers

to satisfy the equations
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Change from rectangular to cylindrical coordinates. (Let \(\displaystyle{r}\geq{0}\) and \(\displaystyle{0}\leq\theta\leq{2}\pi\).)
a) \(\displaystyle{\left(-{2},{2},{2}\right)}\)
b) \(\displaystyle{\left(-{9},{9}\sqrt{{{3},{6}}}\right)}\)
c) Use cylindrical coordinates.
Evaluate
\(\displaystyle\int\int\int_{{{E}}}{x}{d}{V}\)
where E is enclosed by the planes \(\displaystyle{z}={0}\) and
\(\displaystyle{z}={x}+{y}+{10}\)
and by the cylinders
\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={16}\) and \(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}={36}\)
d) Use cylindrical coordinates.
Find the volume of the solid that is enclosed by the cone
\(\displaystyle{z}=\sqrt{{{x}^{{{2}}}+{y}^{{{2}}}}}\)
and the sphere
\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}+{z}^{{{2}}}={8}\).
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