to satisfy the equations

grbavit

Answered 2021-08-21
Author has **27211** answers

asked 2021-08-19

Graph the sets pf points whose polar coordinates satisfy the equations and inequalities \(\displaystyle\theta=\frac{\pi}{{2}},{r}\ge{0}\)

asked 2021-08-21

Graph the sets of points whose polar coordinates satisfy the equations
and inequalities \(\displaystyle{1}\le{r}\le{2}\)

asked 2021-08-15

Graph the sets of points whose polar coordinates satisfy the equations
and inequalities \(\displaystyle{r}\ge{1}\)

asked 2021-08-22

Consider the curve in the plane given in polar coordinates by \(\displaystyle{r}={4}{\sin{\theta}}\). Find the cartesian equation for the curve and identify the curve

asked 2021-08-11

asked 2021-08-16

Is it true that the equations r=8, \(\displaystyle{x}^{{2}}+{y}^{{2}}={64}\), and \(\displaystyle{x}={8}{\sin{{\left({3}{t}\right)}}},{y}={8}{\cos{{\left({3}{t}\right)}}}{\left({0}\le{t}\le{2}\pi\right)}\) all have the same graph.

asked 2021-08-18

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

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}+{z}^{{{2}}}={8}\).

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

\(\displaystyle{x}^{{{2}}}+{y}^{{{2}}}+{z}^{{{2}}}={8}\).